

Bibliography
for the Fast Fourier Transform
unabridged
- 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.
- Efficient implementation of
quaternion Fourier transform, convolution, and correlation by 2-D
complex FFT.
Pei, Soo-Chang; Ding, Jian-Jiun; Chang, Ja-Han
IEEE Trans. Signal Process. 49 (2001), no. 11, 2783--2797, Math.
Sci. Net.
- 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.
- Approximation by a kind of
trigonometric interpolation polynomials in the Hölder metric.
(Chinese)
Hou, Xiang Qian
J. Ningxia Univ. Nat. Sci. Ed. 22 (2001), no. 3, 282--283, Math.
Sci. Net.
- Fast Fourier transforms for
nonequispaced data: a tutorial.
Potts, Daniel; Steidl, Gabriele; Tasche, Manfred
Modern sampling theory, 247--270, Appl. Numer. Harmon. Anal.,
Birkhäuser Boston, Boston, MA, 2001.
- The fast Fourier transform
method and ill-conditioned matrices.
Soon, Boon Yi; Eloe, Paul W.; Kammler, David
Appl. Math. Comput. 117 (2001), no. 2-3, 117--129.
- Gibbs-Phenomenon-Free Fourier
Series for Vibration and Stability of Complex Beams
Fan, S. C.; Zheng, D. Y.; Au, F. T. K.
AIAA Journal, 2001, vol. 39, no. 10, pp. 1977-1984 ,
Ingenta.
- 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.
- Lesser known FFT
algorithms.
Tolimieri, R.; An, M.
Twentieth century harmonic analysis---a celebration (Il Ciocco,
2000), 151--162, NATO Sci. Ser. II Math. Phys. Chem., 33, Kluwer
Acad. Publ., Dordrecht, 2001, Math. Sci.
Net.
- A simple and efficient
parallel FFT algorithm using the BSP model.
Inda, Márcia A.; Bisseling, Rob H.
Parallel Comput. 27 (2001), no. 14, 1847--1878, Math. Sci.
Net.
- Worst and average case
roundoff error analysis for FFT.
Tasche, Manfred; Zeuner, Hansmartin
BIT 41 (2001), no. 3, 563--581, Math. Sci.
Net.
- Applications
of Fourier Series in Classical Guitar Technique
James Hughes
College Math Journal: 2000, Volume 31, Number 4, Pages:
300-303.
- Using FFT-based techniques in
polynomial and matrix computations: recent advances and
applications.
Bini, Dario Andrea
Proceedings of the International Conference on Fourier Analysis
and Applications (Kuwait, 1998). Numer. Funct. Anal. Optim. 21
(2000), no. 1-2, 47--66, Math. Sci. Net.
- Multiply-add optimized
FFTkernels.
Karner, Herbert; Auer, Martin; Ueberhuber, Christoph
W.
Special issue in memory of Richard Weiss. Math. Models Methods
Appl. Sci. 11 (2001), no. 1, 105--117, Math. Sci.
Net.
- Discussion about architectures
associated with the parallel FFT algorithm. (Chinese)
Sun, Shi Xin; Chen, Ping An; Zhang, Yan
Dianzi Keji Daxue Xuebao 29 (2000), no. 5, 535--539, Math. Sci.
Net.
- Approximation of periodic
functions with high smoothness by interpolation trigonometric
polynomials in the L1-metric.
(Ukrainian)
Serdyuk, A. S.
Ukraïn. Mat. Zh. 52 (2000), no. 7, 994--998; translation in
Ukrainian Math. J. 52 (2000), no. 7, 1141--1146, Math. Sci.
Net.
- 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.
- A parallel fast Fourier
transform.
Morante, Silvia; Rossi, Giancarlo; Salina, Gaetano
Internat. J. Modern Phys. C 10 (1999), no. 5,
781--805.
- A fast program generator of
fast Fourier transforms.
Clausen, Michael; Müller, Meinard
Applied algebra, algebraic algorithms and error-correcting codes
(Honolulu, HI, 1999), 29--42, Lecture Notes in Comput. Sci., 1719,
Springer, Berlin, 1999.
- Multidimensional fast Fourier
transform algorithm for signals with arbitrary symmetries.
Bernardini, R.; Cortelazzo, G.; Mian, G. A.
J. Opt. Soc. Amer. A 16 (1999), no. 8, 1892--1908.
- The future fast Fourier
transform ?
Edelman, Alan; McCorquodale, Peter; Toledo, Sivan
SIAM J. Sci. Comput. 20 (1999), no. 3, 1094--1114
(electronic).
- On computing the 2-D FFT.
Sevi'c, Dragutin
IEEE Trans. Signal Process. 47 (1999), no.5, 1428--1431, Math.
Sci. Net.
- Least-squares trigonometric
regression estimation. (English. English summary)
Popi'nski, W.
Appl. Math. (Warsaw) 26 (1999), no. 2, 121--131, Math. Sci. Net,
Math. Sci. Net.
- Two- and three-dimensional
image rotation using the FFT.
Cox, Robert W.; Tong, Raoqiong
IEEE Trans. Image Process. 8 (1999), no. 9, 1297--1299, Math. Sci.
Net.
- An FFT-based algorithm for 2D
power series expansions.
Hwang, Chyi; Guo, Jia-Chyu; Guo, Tong-Yi
Comput. Math. Appl. 37 (1999), no. 10, 19--27, Math. Sci.
Net.
- The Fitting of A Regression
Function Using the Fourier Series Estimator.
Lin, Yung-Li; Kuo, Bo-Jein; Ho, Siu Chuen
Nung lin hsueh pao, 1999, vol. 48, no. 3, pp. 55 ,
Ingenta.
- Pepinsky's Machine: an
interactive graphics-based Fourier synthesis program with
applications in teaching and research.
Glykos, N. M.
Journal of applied crystallography, 1999, vol. 32p4, pp. 821 ,
Ingenta.
- Determining an out-of-core FFT
decomposition strategy for parallel disks by dynamic
programming.
Cormen, Thomas H.
Algorithms for parallel processing (Minneapolis, MN, 1996),
307--320, IMA Vol. Math. Appl., 105, Springer, New York, 1999,
Math. Sci. Net.
- On the piecewise trigonometric
nonlinear regression models.
Albeanu, Grigore
Stud. Cerc. Mat. 50 (1998), no. 1-2, 1--4, Math. Sci.
Net.
- Numerical calculation of
fractional Fourier transforms with a single fast-Fourier-transform
algorithm.
Marinho, Francisco J.; Bernardo, Luís M.
J. Opt. Soc. Amer. A 15 (1998), no. 8, 2111--2116.
- A parallel algorithm for the
fast Fourier transform. (Chinese)
Fu, Dong Sheng
Nanjing Daxue Xuebao Shuxue Bannian Kan 15 (1998), no. 2,
218--224.
- The quick Fourier transform:
an FFT based on symmetries.
Guo, Haitao; Sitton, Gary A.; Burrus, C. Sydney
IEEE Trans. Signal Process. 46 (1998), no. 2, 335--341, Math. Sci.
Net.
- Performing out-of-core FFTs on
parallel disk systems.
Cormen, Thomas H.; Nicol, David M.
Parallel Comput. 24 (1998), no. 1, 5--20, Math. Sci.
Net.
- Implementation and evaluation
of radix-2, 3 and 5 1-D FFT on distributed memory parallel
computers. (Japanese)
Takahashi, Daisuke; Kanada, Yasumasa
Trans. Inform. Process. Soc. Japan 39(1998), no. 3, 519--528,
Math. Sci. Net.
- FFT algorithms and their
adaptation to parallel processing.
Chu, Eleanor; George, Alan
ILASSymposium on Fast Algorithms for Control, Signals and Image
Processing (Winnipeg, MB, 1997). Linear Algebra Appl. 284 (1998),
no. 1-3, 95--124, Math. Sci. Net.
- Best multivariate
approximations by trigonometric polynomials with frequencies from
hyperbolic crosses.
Dinh Dung
J. Approx. Theory 91 (1997), no. 2, 205--225, Math. Sci.
Net.
- On numerical methods for
discrete least-squares approximation by trigonometric
polynomials.
Fassbender, Heike
Math. Comp. 66 (1997), no. 218, 719--741, Math. Sci.
Net.
- A parallel algorithm for
computing FFTs on MIMD parallel computers. (Chinese)
Lin, Shui Sheng; Huang, Shun Ji
Dianzi Keji Daxue Xuebao 26 (1997), no. 6, 621--626, Math. Sci.
Net.
- Generalized FFTs---a survey of
some recent results.
Maslen, David K.; Rockmore, Daniel N.
Groups and computation, II (New Brunswick, NJ, 1995), 183--237,
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 28, Amer. Math.
Soc., Providence, RI, 1997, Math. Sci.
Net.
- 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.
- Configurational transitions in
Fourier series-represented DNA supercoils.
Liu, Guohua; Schlick, Tamar; Olson, Wilma K.
Biophysical journal, 1997, vol. 73, no. 4, pp. 1742 ,
Ingenta.
- A note on Newbery's algorithm
for discrete least-squares approximation by trigonometric
polynomials.
Faßbender, Heike
Electron. Trans. Numer. Anal. 4 (1996), June, 64--74 (electronic),
Math. Sci. Net.
- Accuracy of the discrete
Fourier transform and the fast Fourier transform.
Schatzman, James C.
SIAM J. Sci. Comput. 17 (1996), no. 5, 1150--1166.
- Fast Fourier transform
accelerated fast multipole algorithm.
Elliott, William D.; Board, John A., Jr.
SIAM J. Sci. Comput. 17 (1996), no. 2, 398--415.
- FFTs on mesh connected
computers.
Argüello, Francisco; Amor, Margarita; Zapata, Emilio L.
Parallel Comput. 22 (1996), no. 1, 19--38, Math. Sci.
Net.
- 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.
- Parallel FFT algorithms using
radix 4 butterfly computation on an eight-neighbor processor
array.
Tanno, Kuninobu; Taketa, Toshihiro; Horiguchi, Susumu
Parallel Comput. 21 (1995), no. 1, 121--136, Math. Sci.
Net.
- Determining the number of
terms in a trigonometric regression.
Kavalieris, L.; Hannan, E. J.
J. Time Ser. Anal. 15 (1994), no. 6, 613--625, Math. Sci.
Net.
- On the numerical treatment of
nonlinear regression models by trigonometric
B-splines.
Albeanu, Grigore
An. Univ. Bucuresti Mat. Inform. 42/43 (1993/94), 41--49, Math.
Sci. Net.
- On the strong approximation by
trigonometric interpolating
polynomials.
Nowakowski, Krzysztof; Taberski, Roman
Funct. Approx. Comment. Math. 22 (1993), 149--158 (1994), Math.
Sci. Net.
- 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.
- 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.
- On approximation by
trigonometric polynomials in
Lp-spaces.
Ky, N. X.
Studia Sci. Math. Hungar. 28 (1993), no. 1-2, 183--188, Math. Sci.
Net.
- FFT in calculating
nonparametric regression estimate based on trigonometric
series.
Rafajowicz, Ewaryst; Skubalska-Rafajowicz, Ewa
Appl. Math. Comput. Sci. 3 (1993), no. 4, 713--720, Math. Sci.
Net.
- Parallel compact FFTs for real
sequences.
Pelz, Richard B.
SIAM J. Sci. Comput. 14 (1993), no. 4, 914--935, Math. Sci.
Net.
- Superparallel FFTs.
Munthe-Kaas, Hans
SIAM J. Sci. Comput. 14 (1993), no. 2, 349--367, Math. Sci.
Net.
- On approximation by
trigonometric Lagrange interpolating polynomials.
II.
Borwein, P. B.; Xie, T. F.; Zhou, S.
P.
Bull. Austral. Math. Soc. 45 (1992), no. 2, 215--221, Math. Sci.
Net.
- A novel correlation-based FFT
algorithm.
Wu, Chia Lin; Chin, I Ming
J. Chinese Inst. Engrs. 15 (1992), no. 5, 549--557, Math. Sci.
Net.
- 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.
- Communication efficient
multi-processor FFT.
Johnsson, S. Lennart; Jacquemin, Michel; Krawitz, Robert L.
J. Comput. Phys. 102 (1992), no. 2, 381--397, Math. Sci.
Net.
- 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.
- The
Fractional Fourier Transform and
Applications
David H. Bailey, Paul N. Swarztrauber
SIAM Review, Vol. 33, No. 3. (Sep., 1991), pp. 389-404,
Jstor.
- 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.
- 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.
- 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.
- Transforms,
Finite Fields, and Fast Multiplication
Patrick Chu
Mathematics Magazine: 1990, Volume 63, Number 5, Pages:
330-336.
- Curve
Fitting by Polynomial-Trigonometric
Regression
R. L. Eubank, Paul Speckman
Biometrika, Vol. 77, No. 1. (Mar., 1990), pp. 1-9,
Jstor.
- The
FFT as a Multigrid Algorithm
William L. Briggs, Van Emden Henson
SIAM Review, Vol. 32, No. 2. (Jun., 1990), pp. 252-261,
Jstor.
- 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.
- 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.
- Curve fitting by
polynomial-trigonometric regression.
Eubank, R. L.; Speckman Paul
Biometrika 77 (1990), no. 1, 1--9, Math. Sci.
Net.
- On the best approximation of
Riemann integrable functions by trigonometric
polynomials.
Mevissen, H.; Nessel, R. J.
Math. Balkanica (N.S.) 4 (1990), no. 3, 289--299 (1991), Math.
Sci. Net.
- Fast Fourier transforms: a
tutorial review and a state of the art.
Duhamel, P.; Vetterli, M.
Signal Process. 19 (1990), no. 4, 259--299.
- The FFT as a multigrid
algorithm.
Briggs, William L.; Henson, Van Emden
SIAM Rev. 32 (1990), no. 2, 252--261, Math. Sci.
Net.
- An algorithm based on the FFT
for a generalized Chebyshev interpolation.
Hasegawa, Takemitsu; Torii, Tatsuo; Sugiura, Hiroshi
Math. Comp. 54 (1990), no. 189, 195--210, Math. Sci.
Net.
- 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.
- The Bernoulli spline and
approximation by trigonometric blending
polynomials.
Jetter, Kurt
Results Math. 16 (1989), no. 3-4, 243--252, Math. Sci.
Net.
- Nesting strategies for prime
factor FFT algorithms.
Temperton, Clive
J. Comput. Phys. 82 (1989), no. 2, 247--268, Math. Sci.
Net.
- 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.
- Gray codes, fast Fourier
transforms and hypercubes.
Chamberlain, R. M.
Parallel Comput. 6 (1988), no. 2, 225--233.
- Parallel compact symmetric
FFTs.
Henson, Van Emden
Vector and parallel computing (Tromsø, 1988), 153--164,
Ellis Horwood Ser. Comput. Appl., Horwood, Chichester, 1989, Math.
Sci. Net.
- A segmented FFT algorithm for
vector computers.
Ashworth, Mike; Lyne, Andrew G.
Parallel Comput. 6 (1988), no. 2, 217--224, Math. Sci.
Net.
- Implementation of a prime
factor FFT algorithm on CRAY-1.
Temperton, Clive
ParallelComput. 6 (1988), no. 1, 99--108, Math. Sci.
Net.
- 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.
- The local approximation
properties for trigonometric
polynomials.
Zhou, Xin Long
J. Hangzhou Univ. Natur. Sci. Ed. 14 (1987), no. 4, 409--418,
Math. Sci. Net.
- Approximation properties of
some trigonometric polynomials.
Taberski, Roman
Funct. Approx. Comment. Math. 17 (1987), 83--95, Math. Sci.
Net.
- Further symmetries of in-place
FFTs.
Briggs, William L.
SIAM J. Sci. Statist. Comput. 8 (1987), no. 4, 644--654, Math.
Sci. Net.
- Computer
Graphics for the Vibrating String
Howard Lewis Penn
College Math Journal: 1986, Volume 17, Number 1, Pages:
79-89.
- 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.
- 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.
- 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.
- Symmetric FFTs.
Swarztrauber, Paul N.
Math. Comp. 47 (1986), no. 175, 323--346,
MathSciNet.
- Two- and three-dimensional
FFTs on highly parallel computers.
Brass, A.; Pawley, G. S.
Parallel Comput. 3 (1986), no. 2, 167--184,
MathSciNet.
- Implementation of
"split-radix" FFT algorithms for complex, real, and real-symmetric
data.
Duhamel, Pierre
IEEE Trans. Acoust. Speech Signal Process. 34 (1986), no. 2,
285--295, MathSciNet.
- A new FFT algorithm of radix
3, 6, and 12.
Suzuki, Yoiti; Sone, Toshio; Kido, Ken'iti
IEEE Trans. Acoust. Speech Signal Process. 34 (1986), no. 2,
380--383, MathSciNet.
- 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.
- 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.
- 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.
- Improving the accuracy and
error analysis in floating-point FFT computation.
Honma, Hitoshi; Sagawa, Masahiko
Electron. Comm. Japan 67 (1984), no. 11, 9--18,
MathSciNet.
- Programming an efficient
radix-four FFT algorithm.
Allen, Gregory H.
Signal Process. 6 (1984), no. 4, 325--329,
MathSciNet.
- 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.
- Exact values of best one-sided
approximations by trigonometric polynomials and splines.
(Russian)
Totkov, G. A.
Mat. Zametki 33 (1983), no. 2, 215--226, 316, Math. Sci.
Net.
- 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.
- 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.
- A new fast Fourier transform
algorithm. (Chinese)
Kaporin, I. E. Translated from the Russian by Zhong Hui Shen.
Yingyong Shuxue yu Jisuan Shuxue 1982, no. 6, 49--51,
26.
- Vectorizing the FFTs.
Swarztrauber, Paul N.
Parallel computations, 51--83, Comput. Tech., 1, Academic Press,
Orlando, FL, 1982, Math. Sci. Net.
- A
Vector Implementation of the Fast Fourier Transform
Algorithm
Bengt Fornberg
Mathematics of Computation, Vol. 36, No. 153. (Jan., 1981), pp.
189-191, Jstor.
- 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.
- Least
Squares Fourier Series Solutions to Boundary Value
Problems
Robert B. Kelman
SIAM Review, Vol. 21, No. 3. (Jul., 1979), pp. 329-338,
Jstor.
- 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.
- Fast
Fourier Methods in Computational Complex
Analysis
Peter Henrici
SIAM Review, Vol. 21, No. 4. (Oct., 1979), pp. 481-527,
Jstor.
- 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.
- On
Computing the Discrete Fourier Transform
S. Winograd
Mathematics of Computation, Vol. 32, No. 141. (Jan., 1978), pp.
175-199, Jstor.
- 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.
- 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.
- 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.
- 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.
- 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.
- Sequential least-squares
Fourier estimation with fading memory.
Taylor, Fred J.
IEEE Trans. Acoust. Speech Signal Processing ASSP-22 (1974), no.
4, 300--303, MathSciNet.
- Roundoff
Error Analysis of the Fast Fourier
Transform
George U. Ramos
Mathematics of Computation, Vol. 25, No. 116. (Oct., 1971), pp.
757-768, Jstor.
- The
Fast Fourier Transform in a Finite Field
J. M. Pollard
Mathematics of Computation, Vol. 25, No. 114. (Apr., 1971), pp.
365-374, Jstor.
- Trigonometric
Interpolation and Curve-Fitting
A. C. R. Newbery
Mathematics of Computation, Vol. 24, No. 112. (Oct., 1970), pp.
869-876, Jstor.
- Trigonometric interpolation
and curve-fitting.
Newbery, A. C. R.
Math. Comp. 24 1970 869--876, Math. Sci.
Net.
- 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.
- Application of
Fourier Series to Summation of Series.
Edstrom,Clarence R.
Mathematics Magazine 40 (1967) 214-216.
- 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.
- Curve fitting to
unequally-spaced data: Polynomial and trigonometric
approximation.
Oliveira-Pinto, F.
Inst. Gulbenkian Ci. Centro Cálc. Ci. Estud. Program.
Anál. Numér. No. 2 1967 47--59, Math. Sci.
Net.
- 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.
- 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.
- 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.
- Infinite
Series and Taylor and Fourier Expansions.
James, Robert C.
Mathematics Magazine 25 (1952) 269-272;26 (1952)
21-31.
- Certain
Expressions Related to Fourier Series.
Dobbie, J. M.
Mathematics Magazine 17 (1943) 285-291.
- Some
Introductory Exercises in the Manipulation of Fourier
Transforms.
Cameron, Robert H.
Mathematics Magazine 15 (1941) 331-356.
- 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.
- 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.
(c) John
H. Mathews 2003