Bibliography for Fourier Series and Transform

short

 

  1. The Hardy--Littlewood Theorem for Fourier--Haar Series
    Aubakirov T.U.; Nursultanov E.D.
    Mathematical Notes, March 2003, vol. 73, no. 3-4, pp. 314-320(7), Ingenta.  
  2. Convergence for Fourier series solutions of the forced harmonic oscillator II
    Fay T. H.
    International Journal of Mathematical Education in Science and Technology, 1 May 2002, vol. 33, no. 3, pp. 349-358(10), Ingenta.  
  3. Description of dental arch form using the Fourier series
    Valenzuela A, P.; Pardo, M. A.; Yezioro, S.
    International Journal of Adult Orthodontics and Orthognathic Surgery, 2002, vol. 17, no. 1, pp. 59-65 , Ingenta.  
  4. The Cooley-Tukey FFT and group theory.  
    Maslen, David K.; Rockmore, Daniel N.
    Notices Amer. Math. Soc. 48 (2001), no. 10, 1151--1160, Math. Sci. Net.  
  5. Teaching time-series analysis. I. Finite Fourier analysis of ocean waves
    Whitford, D. J.; Vieira, M. E. C.; Waters, J. K.
    American Journal of Physics, 2001, vol. 69, no. 4, pp. 490-496 , Ingenta.  
  6. Applications of Fourier Series in Classical Guitar Technique  
    James Hughes  
    College Math Journal: 2000, Volume 31, Number 4, Pages: 300-303, Jstor.  
  7. Convergence for Fourier series solutions of the forced harmonic oscillator  
    Fay T. H.
    International Journal of Mathematical Education in Science and Technology, 1 May 2000, vol. 31, no. 3, pp. 415-423(9), Ingenta.  
  8. Absolute Nevanlinna Summability and Fourier Series
    Dikshit G.D.
    Journal of Mathematical Analysis and Applications, August 2000, vol. 248, no. 2, pp. 482-508(27), Ingenta.  
  9. On ''drunken sinusoids'' and their Fourier series
    Czyz J.; Niescioruk D.
    Computer Physics Communications, April 2000, vol. 126, no. 1, pp. 51-56(6), Ingenta.  
  10. The degree of best approximation in the Lipschitz norm by trigonometric polynomials.   
    Bustamante, Jorge; Jiménez, Miguel Antonio    
    XXXI National Congress of the Mexican Mathematical Society (Spanish) (Hermosillo, 1998), 23--30, Aportaciones Mat. Comun., 25, Soc. Mat. Mexicana, México, 1999, Math. Sci. Net.  
  11. Differentiability and Dimension of Some Fractal Fourier Series
    Chamizo F.; Córdoba A.
    Advances in Mathematics, March 1999, vol. 142, no. 2, pp. 335-354(20), Ingenta.  
  12. The future fast Fourier transform ?
    Edelman, Alan; McCorquodale, Peter; Toledo, Sivan
    SIAM J. Sci. Comput. 20 (1999), no. 3, 1094--1114 (electronic).
  13. On the piecewise trigonometric nonlinear regression models.    
    Albeanu, Grigore    
    Stud. Cerc. Mat. 50 (1998), no. 1-2, 1--4, Math. Sci. Net.  
  14. On the analytical summation of Fourier series and its relation to the asymptotic behaviour of Fourier transforms
    Marshall S.L.
    Journal of Physics A: Mathematical and General, 1998, vol. 31, no. 49, pp. 9957-9973(17), Ingenta.  
  15. On the Absolute Convergence of Fourier Series
    Karchava T.
    Georgian Mathematical Journal, July 1997, vol. 04, no. 4, pp. 333-340(8), Ingenta.  
  16. Fast implementations of fuzzy arithmetic operations using fast Fourier transform (FFT).
    Kosheleva, Olga; Cabrera, Sergio D.; Gibson, Glenn A.; Koshelev, Misha
    Fuzzy Sets and Systems 91 (1997), no. 2, 269--277, Math. Sci. Net.  
  17. Similarities Between Fourier and Power Series  
    Richard Askey; Deborah Tepper Haimo  
    The American Mathematical Monthly, Vol. 103, No. 4. (Apr., 1996), pp. 297-304, Jstor.  
  18. Computed Tomography in Multivariable Calculus  
    Yves Nievergelt
    UMAP, Unit 753, pp. 1-54, (1996), COMAP, Inc. Lexington, MA,  COMAP   
  19. A convergence acceleration method of Fourier series
    Oleksy C.
    Computer Physics Communications, July 1996, vol. 96, no. 1, pp. 17-26(10), Ingenta.  
  20. Cosine Products, Fourier Transforms, and Random Sums  
    Kent E. Morrison  
    The American Mathematical Monthly, Vol. 102, No. 8. (Oct., 1995), pp. 716-724, Jstor.  
  21. Analytic Fourier-Feynman Transforms and Convolution  
    Timothy Huffman; Chull Park; David Skoug  
    Transactions of the American Mathematical Society, Vol. 347, No. 2. (Feb., 1995), pp. 661-673.
  22. On the L^2 Inequalities Involving Trigonometric Polynomials and Their Derivatives  
    Weiyu Chen  
    Transactions of the American Mathematical Society, Vol. 347, No. 5. (May, 1995), pp. 1753-1761, Jstor.  
  23. An Application of Fourier Series to the Most Significant Digit Problem  
    Jeff Boyle  
    The American Mathematical Monthly, Vol. 101, No. 9. (Nov., 1994), pp. 879-886, Jstor.  
  24. Fourier Series of Polygons  
    Alain Robert  
    The American Mathematical Monthly, Vol. 101, No. 5. (May, 1994), pp. 420-428, Jstor.  
  25. Complex symmetric functions and generalized discrete Fourier transform.
    Rinaldi, Lucia; Ricci, Paolo Emilio
    Orthogonal polynomials on the unit circle: theory and applications (Madrid, 1994), 121--141, Univ. Carlos III Madrid, Leganés, 1994, MathSciNet.  
  26. Complex Vectors and Image Identification (in Computer Corner)  
    Lyndell Kerley; Jeff Knisley  
    The College Mathematics Journal, Vol. 24, No. 2. (Mar., 1993), pp. 166-174, Jstor.  
  27. Fast Fourier Transforms for Symmetric Groups: Theory and Implementation  
    Michael Clausen, Ulrich Baum  
    Mathematics of Computation, Vol. 61, No. 204. (Oct., 1993), pp. 833-847, Jstor.  
  28. FFT-Based Preconditioners for Toeplitz-Block Least Squares Problems  
    Raymond H. Chan, James G. Nagy, Robert J. Plemmons  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 6. (Dec., 1993), pp. 1740-1768, Jstor.  
  29. Fourier Integral Representation of the Green Function for An Anisotropic Elastic Half-Space  
    Kevin P. Walker  
    Proceedings: Mathematical and Physical Sciences, Vol. 443, No. 1918. (Nov. 8, 1993), pp. 367-389, Jstor.  
  30. Superparallel FFTs.
    Munthe-Kaas, Hans
    SIAM J. Sci. Comput. 14 (1993), no. 2, 349--367, Math. Sci. Net.  
  31. Using Fourier Analysis in Digital Signal Processing (in Computer Corner)  
    Lyndell M. Kerley; William P. Dotson  
    The College Mathematics Journal, Vol. 23, No. 4. (Sep., 1992), pp. 320-328, Jstor.  
  32. Connections in Mathematical Analysis: The Case of Fourier Series  
    Enrique A. Gonzalez-Velasco  
    The American Mathematical Monthly, Vol. 99, No. 5. (May, 1992), pp. 427-441, Jstor.  
  33. On optimal embeddings of the FFT graph and the butterfly graph into the hypercube.
    Stöhr, Elena A.
    Comput. Artificial Intelligence 11 (1992), no. 5, 509--519, Math. Sci. Net.  
  34. Iterative Reconstruction in Computerized Tomography  
    Joanne Harris & Merzik Kamel   
    UMAP, Unit 713, pp. 1-22, (1991), COMAP, Inc. Lexington, MA,  COMAP   
  35. Discrete Least Squares Approximation by Trigonometric Polynomials  
    L. Reichel, G. S. Ammar, W. B. Gragg  
    Mathematics of Computation, Vol. 57, No. 195. (Jul., 1991), pp. 273-289, Jstor.  
  36. The Fractional Fourier Transform and Applications  
    David H. Bailey, Paul N. Swarztrauber  
    SIAM Review, Vol. 33, No. 3. (Sep., 1991), pp. 389-404, Jstor.  
  37. A Stochastic Roundoff Error Analysis for the Fast Fourier Transform  
    Daniela Calvetti  
    Mathematics of Computation, Vol. 56, No. 194. (Apr., 1991), pp. 755-774, Jstor.  
  38. Algorithm AS 265:  G/G/1 Via Fast Fourier Transform (in Statistical Algorithms)  
    R. Grubel  
    Applied Statistics, Vol. 40, No. 2. (1991), pp. 355-365, Jstor.  
  39. Tests of Distributional Hypotheses with Nuisance Parameters Using Fourier Series Methods (in Theory and Methods)  
    Bryan Langholz, Richard A. Kronmal  
    Journal of the American Statistical Association, Vol. 86, No. 416. (Dec., 1991), pp. 1077-1084, Jstor.  
  40. Transforms, Finite Fields, and Fast Multiplication (in Notes)  
    Patrick Chiu  
    Mathematics Magazine, Vol. 63, No. 5. (Dec., 1990), pp. 330-336, Jstor.  
  41. Curve Fitting by Polynomial-Trigonometric Regression  
    R. L. Eubank, Paul Speckman  
    Biometrika, Vol. 77, No. 1. (Mar., 1990), pp. 1-9, Jstor.  
  42. The FFT as a Multigrid Algorithm  
    William L. Briggs, Van Emden Henson  
    SIAM Review, Vol. 32, No. 2. (Jun., 1990), pp. 252-261, Jstor.  
  43. An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation  
    Takemitsu Hasegawa, Tatsuo Torii, Hiroshi Sugiura  
    Mathematics of Computation, Vol. 54, No. 189. (Jan., 1990), pp. 195-210, Jstor.  
  44. An FFT Extension to the P-1 Factoring Algorithm  
    Peter L. Montgomery, Robert D. Silverman  
    Mathematics of Computation, Vol. 54, No. 190. (Apr., 1990), pp. 839-854, Jstor.  
  45. Fast Fourier transforms: a tutorial review and a state of the art.
    Duhamel, P.; Vetterli, M.
    Signal Process. 19 (1990), no. 4, 259--299.
  46. On approximation by trigonometric Lagrange interpolating polynomials.    
    Xie, T. F.; Zhou, S. P.    
    Bull. Austral. Math. Soc. 40 (1989), no. 3, 425--428, Math. Sci. Net.  
  47. Fourier-Laplace Transforms and the Bergman Spaces  
    Saburou Saitoh  
    Proceedings of the American Mathematical Society, Vol. 102, No. 4. (Apr., 1988), pp. 985-992, Jstor.  
  48. Remark AS R73: A Remark on Algorithm AS 222: Resistant Smoothing Using the Fast Fourier Transform (in Statistical Algorithms)  
    Tony Dusoir  
    Applied Statistics, Vol. 37, No. 2. (1988), pp. 316-317, Jstor.  
  49. Gray codes, fast Fourier transforms and hypercubes.
    Chamberlain, R. M.
    Parallel Comput. 6 (1988), no. 2, 225--233.
  50. Algorithm AS 222: Resistant Smoothing Using the Fast Fourier Transform (in Statistical Algorithms)  
    W. Hardle  
    Applied Statistics, Vol. 36, No. 1. (1987), pp. 104-111, Jstor.  
  51. Further symmetries of in-place FFTs.
    Briggs, William L.
    SIAM J. Sci. Statist. Comput. 8 (1987), no. 4, 644--654, Math. Sci. Net.  
  52. Fourier transforms in the complex domain. Reprint of the 1934 original.
    Paley, Raymond E. A. C.; Wiener, Norbert
    American Mathematical Society Colloquium Publications, 19. American Mathematical Society, Providence, RI, 1987. x+184 pp. ISBN: 0-8218-1019-7 01A75, MathSciNet.  
  53. Computer Graphics for the Vibrating String (in Computer Corner)  
    Howard Lewis Penn  
    The College Mathematics Journal, Vol. 17, No. 1. (Jan., 1986), pp. 79-89, Jstor.  
  54. Remark ASR 64: A Remark on Algorithm AS 176: Kernel Density Estimation Using The Fast Fourier Transform (in Statistical Algorithms)  
    Paul Schiffelbein  
    Applied Statistics, Vol. 35, No. 2. (1986), pp. 235-236, Jstor.  
  55. Application of Fourier series to curve fitting. (Spanish)  
    Soto Villaverde, Andrés; Cuesta Saínz de la Torre, Lylia E.
    Investigación Oper. 7 (1986), no. 3, 17--28, MathSciNet.  
  56. The discrete Fourier transform, the FFT and the solution of differential equations. (Spanish)
    Mora E., Héctor M.
    Bol. Mat. 20 (1986), no. 2, 107--123, MathSciNet.  
  57. Exponential Fourier series for the H-function of several complex variables.
    Sharma, C. K.; Shukla, V. S.
    Pure Appl. Math. Sci. 24 (1986), no. 1-2, 35--39, MathSciNet.  
  58. Optimal Designs for Trigonometric and Polynomial Regression Using Canonical Moments  
    Tai-Shing Lau, W. J. Studden  
    Annals of Statistics, Vol. 13, No. 1. (Mar., 1985), pp. 383-394, Jstor.  
  59. Mathematical Considerations for the Problem of Fourier Transform Phase Retrieval from Magnitude  
    Jorge L. C. Sanz  
    SIAM Journal on Applied Mathematics, Vol. 45, No. 4. (Aug., 1985), pp. 651-664, Jstor.  
  60. Remark AS R50: A Remark on Algorithm AS 176. Kernal Density Estimation Using the Fast Fourier Transform (in Statistical Algorithms)  
    M. C. Jones, H. W. Lotwick  
    Applied Statistics, Vol. 33, No. 1. (1984), pp. 120-122, Jstor.  
  61. The Fourier transformation of analytic functions.
    Dubinskii, Yu. A.
    The complex Fourier method. (Russian) Dokl. Akad. Nauk SSSR 275 (1984), no. 3, 533--536, MathSciNet.  
  62. On the Degree of Approximation of a Class of Functions by Means of Fourier Series  
    S. M. Mazhar  
    Proceedings of the American Mathematical Society, Vol. 88, No. 2. (Jun., 1983), pp. 317-320, Jstor.  
  63. Some Comments on Fourier Analysis, Uncertainty and Modeling  
    David Slepian  
    SIAM Review, Vol. 25, No. 3. (Jul., 1983), pp. 379-393, Jstor.  
  64. Algorithm AS 176: Kernel Density Estimation Using the Fast Fourier Transform (in Statistical Algorithms)  
    B. W. Silverman  
    Applied Statistics, Vol. 31, No. 1. (1982), pp. 93-99, Jstor.  
  65. Fast Algorithm of Data Permutation in Discrete Fast Fourier Transform (in Statistical Algorithms)  
    Andrzej Francik, Janusz Koscielniak  
    Applied Statistics, Vol. 31, No. 3. (1982), pp. 327-330, Jstor.  
  66. L1-Convergence of Fourier Series with Complex Quasimonotone Coefficients  
    Vera B. Stanojevic  
    Proceedings of the American Mathematical Society, Vol. 86, No. 2. (Oct., 1982), pp. 241-247, Jstor.  
  67. Calculation of complex Fourier coefficients using natural splines.
    Neuman, E.
    Computing 29 (1982), no. 4, 327--336, MathSciNet.  
  68. An Alternative Approach to the Vibrating String Problem (in Classroom Capsules)  
    James Chew  
    The Two-Year College Mathematics Journal,Vol.12,No.2. (Mar.,1981),pp.147-149, Jstor.  
  69. A Vector Implementation of the Fast Fourier Transform Algorithm  
    Bengt Fornberg  
    Mathematics of Computation, Vol. 36, No. 153. (Jan., 1981), pp. 189-191, Jstor.  
  70. Pointwise Convergence of Fourier Series (in Classroom Notes)  
    Paul R. Chernoff  
    The American Mathematical Monthly, Vol. 87, No. 5. (May, 1980), pp. 399-400, Jstor.  
  71. Tomography: Three Dimensional Image Reconstruction  
    Solomon, Frederick  
    UMAP, Unit 318, pp. 1-19, (1979), COMAP, Inc. Lexington, MA,  COMAP   
  72. Computing the Fast Fourier Transform on a Vector Computer  
    David G. Korn, Jules J. Lambiotte, Jr.  
    Mathematics of Computation, Vol. 33, No. 147. (Jul., 1979), pp. 977-992, Jstor.  
  73. Least Squares Fourier Series Solutions to Boundary Value Problems  
    Robert B. Kelman  
    SIAM Review, Vol. 21, No. 3. (Jul., 1979), pp. 329-338, Jstor.  
  74. Fourier Series Came First  
    Salomon Bochner  
    The American Mathematical Monthly, Vol. 86, No. 3. (Mar., 1979), pp. 197-199, Jstor.  
  75. Basic Fourier Series  
    H. Exton  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 369, No. 1736. (Dec. 13, 1979), pp. 115-136, Jstor.  
  76. Fast Fourier Methods in Computational Complex Analysis  
    Peter Henrici  
    SIAM Review, Vol. 21, No. 4. (Oct., 1979), pp. 481-527, Jstor.  
  77. Medical Application of Fourier Analysis (in Classroom Notes in Applied Mathematics)  
    D. E. Raeside; W. K. Chu; P. A. N. Chandraratna  
    SIAM Review, Vol. 20, No. 4. (Oct., 1978), pp. 850-854, Jstor.  
  78. Fourier Series (in Progress Reports)  
    P. R. Halmos  
    The American Mathematical Monthly, Vol. 85, No. 1. (Jan., 1978), pp. 33-34, Jstor.  
  79. On the Degree of Approximation of a Function by the Partial Sums of its Fourier Series  
    Elaine Cohen  
    Transactions of the American Mathematical Society, Vol. 235. (Jan., 1978), pp. 35-74, Jstor.  
  80. On Computing the Discrete Fourier Transform  
    S. Winograd  
    Mathematics of Computation, Vol. 32, No. 141. (Jan., 1978), pp. 175-199, Jstor.
  81. The Fast Fourier Transform Spectral Estimator (in Notes, Comments and Queries)  
    Piet De Jong  
    Journal of the Royal Statistical Society. Series B (Methodological), Vol. 39, No. 3. (1977), pp. 327-330, Jstor.
  82. A Table of Discrete Fourier Transform Pairs  
    Brian Conolly, I. J. Good  
    SIAM Journal on Applied Mathematics, Vol. 32, No. 4. (Jun., 1977), pp. 810-822, Jstor.
  83. Fourier analysis and complex variable. (Spanish)
    Córdoba, Antonio
    Rev. Real Acad. Ci. Exact. Fís. Natur. Madrid 71 (1977), no. 3-4, 515--535, MathSciNet.  
  84. On Computing the Discrete Fourier Transform  
    Shmuel Winograd  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 73, No. 4. (Apr., 1976), pp. 1005-1006, Jstor.
  85. Algorithm AS 97: Real Discrete Fast Fourier Transform (in Statistical Algorithms)  
    Donald M. Monro  
    Applied Statistics, Vol. 25, No. 2. (1976), pp. 166-172, Jstor.
  86. Fourier Series of Functions of Bounded Variation (in Classroom Notes)  
    C. Horowitz  
    The American Mathematical Monthly, Vol. 82, No. 4. (Apr., 1975), pp. 391-392, Jstor.
  87. Algorithm AS 83: Complex Discrete Fast Fourier Transform (in Statistical Algorithms)  
    Donald M. Monro  
    Applied Statistics, Vol. 24, No. 1. (1975), pp. 153-160, Jstor.
  88. Fourier Uniqueness Via Complex Variables (in Mathematical Notes)  
    D. J. Newman  
    The American Mathematical Monthly, Vol. 81, No. 4. (Apr., 1974), pp. 379-380, Jstor.  
  89. On Fourier Transforms  
    C. Nasim  
    Transactions of the American Mathematical Society, Vol. 191. (Apr., 1974), pp. 45-51, Jstor.  
  90. Roundoff Error Analysis of the Fast Fourier Transform  
    George U. Ramos  
    Mathematics of Computation, Vol. 25, No. 116. (Oct., 1971), pp. 757-768, Jstor.  
  91. The Fast Fourier Transform in a Finite Field  
    J. M. Pollard  
    Mathematics of Computation, Vol. 25, No. 114. (Apr., 1971), pp. 365-374, Jstor.  
  92. Complex Fourier Analysis on a Nilpotent Lie Group  
    Roe Goodman  
    Transactions of the American Mathematical Society,Vol.160. (Oct.,1971),pp.373-391, Jstor.  
  93. Trigonometric Interpolation and Curve-Fitting  
    A. C. R. Newbery  
    Mathematics of Computation, Vol. 24, No. 112. (Oct., 1970), pp. 869-876, Jstor.  
  94. Some Aspects of Fourier Series  
    Casper Goffman; Daniel Waterman  
    The American Mathematical Monthly, Vol. 77, No. 2. (Feb., 1970), pp. 119-133, Jstor.  
  95. Uniform Convergence of Fourier Series (in Classroom Notes)  
    Barry Simon  
    The American Mathematical Monthly, Vol. 76, No. 1. (Jan., 1969), pp. 55-56, Jstor.  
  96. J. B. Fourier--On the Occasion of His Two Hundredth Birthday  
    W. A. Coppel  
    The American Mathematical Monthly, Vol. 76, No. 5. (May, 1969), pp. 468-483, Jstor.  
  97. A Note on Fourier Kernels (in Mathematical Notes)  
    Kusum Soni  
    The American Mathematical Monthly, Vol. 76, No. 2. (Feb., 1969), pp. 174-176, Jstor.  
  98. Modifications of Fourier Transforms  
    Walter Rudin  
    Proceedings of the American Mathematical Society, Vol. 19, No. 5. (Oct., 1968), pp. 1069-1074, Jstor.  
  99. A Note on Fourier Series of Functions of Z Class (in Brief Versions)  
    A. H. Siddiqi  
    The American Mathematical Monthly, Vol. 75, No. 2. (Feb., 1968), pp. 173-174, Jstor.  
  100. A Fast Fourier Transform Algorithm Using Base 8 Iterations  
    G. D. Bergland  
    Mathematics of Computation, Vol. 22, No. 102. (Apr., 1968), pp. 275-279, Jstor.  
  101. Application of Fourier Series to Summation of Series, I  
    Clarence R. Edstrom  
    Mathematics Magazine, Vol. 40, No. 4. (Sep., 1967), pp. 214-216, Jstor.  
  102. A Fourier Series Derivation of the Euler-Lagrange Equation (in Classroom Notes)  
    Richard Menzel  
    The American Mathematical Monthly, Vol. 74, No. 5. (May, 1967), pp. 587-588, Jstor.  
  103. Pascal-Type Triangles for the Fourier Expansions of 2^(n-1) cos^n x and 2^(n-1) sin^n x  
    Bernard Rasof  
    Mathematics Magazine, Vol. 40, No. 5. (Nov., 1967), pp. 235-240, Jstor.  
  104. The Fast Fourier Transform Recursive Equations for Arbitrary Length Records (in Technical Notes and Short Papers)  
    G. D. Bergland  
    Mathematics of Computation, Vol. 21, No. 98. (Apr., 1967), pp. 236-238, Jstor.  
  105. Interpolation by Algebraic and Trigonometric Polynomials (in Technical Notes and Short Papers)  
    A. C. R. Newbery  
    Mathematics of Computation, Vol. 20, No. 96. (Oct., 1966), pp. 597-599, Jstor.  
  106. An Algorithm for the Machine Calculation of Complex Fourier Series  
    James W. Cooley; John W. Tukey  
    Mathematics of Computation, Vol. 19, No. 90. (Apr., 1965), pp. 297-301, Jstor.  
  107. Fourier Transforms of Two Poisson Kernels (in Mathematical Notes)  
    D. A. Sprecher  
    The American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 864-868, Jstor.  
  108. Fourier Transforms of Two Poisson Kernels (in Mathematical Notes)  
    D. A. Sprecher  
    The American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 864-868, Jstor.  
  109. Inversion of Fourier and Laplace Transforms  
    R. P. Boas, Jr.  
    The American Mathematical Monthly, Vol. 69, No. 10. (Dec., 1962), pp. 955-960, Jstor.  
  110. A Property of the Fourier Coefficients of an Integrable Function  
    W. A. J. Luxemburg  
    The American Mathematical Monthly, Vol. 69, No. 2. (Feb., 1962), pp. 94-98, Jstor.  
  111. The Fourier Transform and Mean Convergence  
    E. J. McShane  
    The American Mathematical Monthly, Vol. 68, No. 3. (Mar., 1961), pp. 205-211, Jstor.  
  112. A Note on Walsh-Fourier Series (in Mathematical Notes)  
    T. H. Slook  
    The American Mathematical Monthly, Vol. 67, No. 3. (Mar., 1960), pp. 253-256, Jstor.  
  113. Developments of (sin x)^a into Fourier Series (in Mathematical Notes)  
    K. Matthies  
    The American Mathematical Monthly, Vol. 67, No. 1. (Jan., 1960), pp. 52-54, Jstor.  
  114. A Note on Walsh-Fourier Series (in Mathematical Notes)  
    T. H. Slook  
    The American Mathematical Monthly, Vol. 67, No. 3. (Mar., 1960), pp. 253-256, Jstor.  
  115. Concerning the Fourier Coefficients of a Nonnegative Function (in Mathematical Notes)  
    G. Szego  
    The American Mathematical Monthly, Vol. 67, No. 4. (Apr., 1960), pp. 365-366, Jstor.  
  116. Note on Invariance of Degree of Polynomial and Trigonometric Approximation under Change of Independent Variable  
    J. L. Walsh  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 45, No. 10. (Oct. 15, 1959), pp. 1528-1533, Jstor.  
  117. An Inequality for the Fourier Coefficients of a Nonnegative Funtion (in Mathematical Notes)  
    J. D. Weston  
    The American Mathematical Monthly, Vol. 66, No. 3. (Mar., 1959), pp. 223-224, Jstor.  
  118. Bounded Functions and Fourier Transforms  
    R. E. Edwards  
    Proceedings of the American Mathematical Society, Vol. 9, No. 3. (Jun., 1958), pp. 440-446, Jstor.  
  119. Derivation of the Equation for a Vibrating String  
    F. A. Ficken  
    The American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), pp. 155-157, Jstor.  
  120. From Fourier Series to Fourier Integral (in Classroom Notes)  
    Walter P. Reid  
    The American Mathematical Monthly, Vol. 64, No. 9. (Nov., 1957), pp. 663-664, Jstor.  
  121. Correction: Fourier analysis of engine unbalance by contour integration  
    W. E. Bleick  
    The American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), p. 180, Jstor.  
  122. Fourier Analysis of Engine Unbalance by Contour Integration  
    W. E. Bleick  
    The American Mathematical Monthly, Vol. 63, No. 7. (Aug. - Sep., 1956), pp. 466-472, Jstor.  
  123. A Short Proof of a Classical Theorem in the Theory of Fourier Integrals (in Mathematical Notes)  
    Marcel Riesz; A. E. Livingston  
    The American Mathematical Monthly, Vol. 62, No. 6. (Jun. - Jul., 1955), pp. 434-437, Jstor.  
  124. The Order of Magnitude of the Fourier Coefficients in Functions Having Isolated Singularities  
    Gordon Raisbeck  
    The American Mathematical Monthly,Vol.62,No.3. (Mar.,1955),pp.149-154, Jstor.  
  125. On Functions Which are Fourier Transforms  
    R. E. Edwards  
    Proceedings of the American Mathematical Society, Vol. 5, No. 1. (Feb., 1954), pp. 71-78, Jstor.  
  126. Analogue Calculation of Polynomial and Trigonometric Expansions (in Other Aids to Computation)  
    Max G. Scherberg, John F. Riordan  
    Mathematical Tables and Other Aids to Computation, Vol. 7, No. 41. (Jan., 1953), pp. 61-65, Jstor.  
  127. Infinite Series and Taylor and Fourier Expansions (Concluded)  
    Robert C. James  
    Mathematics Magazine, Vol. 26, No. 1. (Sep. - Oct., 1952), pp. 21-31, Jstor.  
  128. Infinite Series and Taylor and Fourier Expansions  
    Robert C. James  
    Mathematics Magazine, Vol. 25, No. 5. (May - Jun., 1952), pp. 269-272, Jstor.  
  129. Sums Representing Fourier Transforms  
    R. P. Boas, Jr.  
    Proceedings of the American Mathematical Society, Vol. 3, No. 3. (Jun., 1952), pp. 444-447, Jstor.  
  130. The Finite Fourier Series and Elementary Geometry  
    I. J. Schoenberg  
    The American Mathematical Monthly, Vol. 57, No. 6. (Jun. - Jul., 1950), pp. 390-404, Jstor.  
  131. Differentiation of Fourier Series and Integrals  
    A. E. Taylor  
    The American Mathematical Monthly, Vol. 51, No. 1. (Jan., 1944), pp. 19-25, Jstor.  
  132. On My Proof of The Budan-Fourier Theorem (in Discussions and Notes)  
    M. F. Smiley  
    The American Mathematical Monthly, Vol. 51, No. 8. (Oct., 1944), p. 465, Jstor.  
  133. Certain Expressions Related to Fourier Series  
    J. M. Dobbie  
    National Mathematics Magazine, Vol. 17, No. 7. (Apr., 1943), pp. 285-291, Jstor.  
  134. Some Introductory Exercises in the Manipulation of Fourier Transforms  
    Robert H. Cameron  
    National Mathematics Magazine, Vol. 15, No. 7. (Apr., 1941), pp. 331-356, Jstor.  
  135. On Fourier Series of Continuous Functions (in Questions, Discussions and Notes)  
    Otto Szasz  
    The American Mathematical Monthly, Vol. 42, No. 1. (Jan., 1935), pp. 37-38, Jstor.  
  136. The Convergence of Fourier Series  
    Dunham Jackson  
    The American Mathematical Monthly, Vol. 41, No. 2. (Feb., 1934), pp. 67-84, Jstor.  
  137. A Remark on Fourier Series of Continuous Functions (in Questions, Discussions, and Notes)  
    William Randels  
    The American Mathematical Monthly, Vol. 40, No. 2. (Feb., 1933), pp. 97-99, Jstor.  
  138. The Summation of Certain Series by Fourier Expansions  
    Joseph B. Reynolds  
    The American Mathematical Monthly, Vol. 39, No. 8. (Oct., 1932), pp. 473-476, Jstor.  
  139. Fourier Series in Three Dimensions  
    W. O. Pennell  
    The American Mathematical Monthly, Vol. 39, No. 5. (May, 1932), pp. 261-266, Jstor.  
  140. Necessary and Sufficient Conditions in the Theory of Fourier Transforms  
    Andrew C. Berry  
    The Annals of Mathematics, 2nd Ser., Vol. 32, No. 4. (Sep., 1931), pp. 830-8385, Jstor.  
  141. A Generalized Fourier Series Representation of a Function  
    W. O. Pennell  
    The American Mathematical Monthly, Vol. 37, No. 9. (Nov., 1930), pp. 462-472, Jstor.  
  142. Discussions: An Application of Fourier Series and a Theorem on Definite Integrals (in Questions and Discussions)  
    E. J. McShane  
    The American Mathematical Monthly, Vol. 33, No. 8. (Oct., 1926), pp. 421-424, Jstor.  
  143. Discussions: Note on the Convergence of Fourier Series (in Questions and Discussions)  
    Dunham Jackson  
    The American Mathematical Monthly, Vol. 33, No. 1. (Jan., 1926), pp. 39-40, Jstor.  
  144. A Simple Discussion of the Representation of Functions by Fourier Series  
    Philip Franklin  
    The American Mathematical Monthly, Vol. 31, No. 10. (Dec., 1924), pp. 475-478, Jstor.  
  145. An Elementary Treatment of Fourier's Series  
    George D. Birkhoff  
    The American Mathematical Monthly, Vol. 28, No. 5. (May, 1921), pp. 200-203, Jstor.  
  146. On the Convergence of Certain Trigonometric and Polynomial Approximations  
    Dunham Jackson  
    Transactions of the American Mathematical Society, Vol. 22, No. 2. (Apr., 1921), pp. 158-166, Jstor.  
  147. A Simple Extension of Fourier's Integral Theorem and Some Physical Applications, in Particular to the Theory of Quanta  
    R. H. Fowler  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 99, No. 701. (Sep. 1, 1921), pp. 462-471, Jstor.  
  148. On Approximation by Trigonometric Sums and Polynomials  
    Dunham Jackson  
    Transactions of the American Mathematical Society, Vol. 13, No. 4. (Oct., 1912), pp. 491-515, Jstor.  

 

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(c) John H. Mathews 2003, Cal. St. Univ. Fullerton,
http://math.fullerton.edu/mathews/c2003/FourierTransformBib/Links/FourierTransformBib_lnk_2.html

Posted at USNA by wdj with permission of Prof Mathews.