Fourier transform (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fourier transform" in English language version.

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Howe 1980. Howe, Roger (1980), "On the role of the Heisenberg group in harmonic analysis", Bulletin of the American Mathematical Society, 3 (2): 821–844, doi:10.1090/S0273-0979-1980-14825-9, MR 0578375
Howe 1980 Howe, Roger (1980), "On the role of the Heisenberg group in harmonic analysis", Bulletin of the American Mathematical Society, 3 (2): 821–844, doi:10.1090/S0273-0979-1980-14825-9, MR 0578375
Hewitt & Ross 1970, Chapter 8 Hewitt, Edwin; Ross, Kenneth A. (1970), Abstract harmonic analysis, Die Grundlehren der mathematischen Wissenschaften, Band 152, vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Springer, MR 0262773

archive.org (Global: 6^th place; English: 6^th place)

In relativistic quantum mechanics one encounters vector-valued Fourier transforms of multi-component wave functions. In quantum field theory, operator-valued Fourier transforms of operator-valued functions of spacetime are in frequent use, see for example Greiner & Reinhardt (1996). Greiner, W.; Reinhardt, J. (1996), Field Quantization, Springer, ISBN 978-3-540-59179-5
Oppenheim, Schafer & Buck 1999, p. 58 Oppenheim, Alan V.; Schafer, Ronald W.; Buck, John R. (1999), Discrete-time signal processing (2nd ed.), Upper Saddle River, N.J.: Prentice Hall, ISBN 0-13-754920-2
Proakis, John G.; Manolakis, Dimitris G. (1996). Digital Signal Processing: Principles, Algorithms, and Applications (3rd ed.). Prentice Hall. p. 291. ISBN 978-0-13-373762-2.

arxiv.org (Global: 69^th place; English: 59^th place)

Celeghini, Gadella & del Olmo 2021 Celeghini, Enrico; Gadella, Manuel; del Olmo, Mariano A. (2021), "Hermite Functions and Fourier Series", Symmetry, 13 (5): 853, arXiv:2007.10406, Bibcode:2021Symm...13..853C, doi:10.3390/sym13050853
Grafakos & Teschl 2013 Grafakos, Loukas; Teschl, Gerald (2013), "On Fourier transforms of radial functions and distributions", J. Fourier Anal. Appl., 19 (1): 167–179, arXiv:1112.5469, Bibcode:2013JFAA...19..167G, doi:10.1007/s00041-012-9242-5, S2CID 1280745
Yousefi & Kschischang 2014, pp. 4312–4328. Yousefi, Mansoor I; Kschischang, Frank R (2014). "Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools". IEEE Transactions on Information Theory. 60 (7): 4312–4328. arXiv:1202.3653. doi:10.1109/TIT.2014.2321143. ISSN 0018-9448. Retrieved 2025-09-21.

bnf.fr (Global: 124^th place; English: 544^th place)

gallica.bnf.fr

Poincaré 1895, p. 102 Poincaré, Henri (1895), Théorie analytique de la propagation de la chaleur, Paris: Carré

books.google.com (Global: 3^rd place; English: 3^rd place)

Pinsky 2002, p. 91. Pinsky, Mark (2002), Introduction to Fourier Analysis and Wavelets, Brooks/Cole, ISBN 978-0-534-37660-4
Fourier 1822, p. 525 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Fourier 1878, p. 408 Fourier, J.B. Joseph (1878) [1822], "The Analytical Theory of Heat", Nature, 18 (451), translated by Alexander Freeman, The University Press: 192, Bibcode:1878Natur..18Q.192., doi:10.1038/018192a0 (translated from French)
Rahman 2011, p. 10. Rahman, Matiur (2011), Applications of Fourier Transforms to Generalized Functions, WIT Press, ISBN 978-1-84564-564-9
Fourier 1822 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Pinsky 2002 Pinsky, Mark (2002), Introduction to Fourier Analysis and Wavelets, Brooks/Cole, ISBN 978-0-534-37660-4
Stein & Weiss 1971, p. 2. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Stein & Weiss 1971 Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Pinsky 2002, chpt. 2.4.3 The Uncertainty Principle Pinsky, Mark (2002), Introduction to Fourier Analysis and Wavelets, Brooks/Cole, ISBN 978-0-534-37660-4
Stein & Shakarchi 2003, chpt. 5.4 The Heisenberg uncertainty principle Stein, Elias; Shakarchi, Rami (2003), Fourier Analysis: An introduction, Princeton University Press, ISBN 978-0-691-11384-5
Chatfield 2004, p. 113 Chatfield, Chris (2004), The Analysis of Time Series: An Introduction, Texts in Statistical Science (6th ed.), London: Chapman & Hall/CRC, ISBN 978-0-203-49168-3
Fourier 1822, p. 441 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Stein & Weiss 1971, pp. 1–2. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Stein & Weiss 1971, Thm. 2.3. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Pinsky 2002, p. 256. Pinsky, Mark (2002), Introduction to Fourier Analysis and Wavelets, Brooks/Cole, ISBN 978-0-534-37660-4
Knapp 2001 Knapp, Anthony W. (2001), Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, ISBN 978-0-691-09089-4
Stein & Weiss 1971, Thm. IV.3.3 Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Easton 2010 Easton, Roger L. Jr. (2010), Fourier Methods in Imaging, John Wiley & Sons, ISBN 978-0-470-68983-7, retrieved 26 May 2020
Stein & Weiss 1971, Thm. 4.15 Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9
Stein & Weiss 1971, p. 6 Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9

cambridge.org (Global: 305^th place; English: 264^th place)

Katznelson 2004, p. 153. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Katznelson 2004. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Katznelson 2004, p. 173
The typical conventions in probability theory take $e iξx$ instead of $e - i 2π ξx$ . Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Katznelson 2004, pp. 40, 155, 164. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0

doi.org (Global: 2^nd place; English: 2^nd place)

Fourier 1878, p. 408 Fourier, J.B. Joseph (1878) [1822], "The Analytical Theory of Heat", Nature, 18 (451), translated by Alexander Freeman, The University Press: 192, Bibcode:1878Natur..18Q.192., doi:10.1038/018192a0 (translated from French)
Stade 2005, pp. 298–299. Stade, Eric (2005). Fourier Analysis. Wiley. doi:10.1002/9781118165508. ISBN 978-0-471-66984-5.
Howe 1980. Howe, Roger (1980), "On the role of the Heisenberg group in harmonic analysis", Bulletin of the American Mathematical Society, 3 (2): 821–844, doi:10.1090/S0273-0979-1980-14825-9, MR 0578375
Katznelson 2004, p. 153. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Wolf 1979, p. 307ff Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5
Celeghini, Gadella & del Olmo 2021 Celeghini, Enrico; Gadella, Manuel; del Olmo, Mariano A. (2021), "Hermite Functions and Fourier Series", Symmetry, 13 (5): 853, arXiv:2007.10406, Bibcode:2021Symm...13..853C, doi:10.3390/sym13050853
Condon 1937 Condon, E. U. (1937), "Immersion of the Fourier transform in a continuous group of functional transformations", Proc. Natl. Acad. Sci., 23 (3): 158–164, Bibcode:1937PNAS...23..158C, doi:10.1073/pnas.23.3.158, PMC 1076889, PMID 16588141
Wolf 1979, p. 320 Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5
Wolf 1979, p. 312 Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5
Howe 1980 Howe, Roger (1980), "On the role of the Heisenberg group in harmonic analysis", Bulletin of the American Mathematical Society, 3 (2): 821–844, doi:10.1090/S0273-0979-1980-14825-9, MR 0578375
Widder & Wiener 1938, p. 537 Widder, David Vernon; Wiener, Norbert (August 1938), "Remarks on the Classical Inversion Formula for the Laplace Integral", Bulletin of the American Mathematical Society, 44 (8): 573–575, doi:10.1090/s0002-9904-1938-06812-7
Grafakos & Teschl 2013 Grafakos, Loukas; Teschl, Gerald (2013), "On Fourier transforms of radial functions and distributions", J. Fourier Anal. Appl., 19 (1): 167–179, arXiv:1112.5469, Bibcode:2013JFAA...19..167G, doi:10.1007/s00041-012-9242-5, S2CID 1280745
Chandrasekharan 1989, pp. 7–8, 84. Chandrasekharan, Komaravolu (1989), Classical Fourier Transforms, Berlin, Heidelberg: Springer Berlin Heidelberg, doi:10.1007/978-3-642-74029-9, ISBN 978-3-540-50248-7
Katznelson 2004. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Mallat 2009, p. 45. Mallat, Stéphane (2009), A wavelet tour of signal processing: the sparse way, Amsterdam Boston: Elsevier/Academic Press, doi:10.1016/B978-0-12-374370-1.X0001-8, ISBN 978-0-12-374370-1
Edwards 1982, pp. 53, 67, 72–73. Edwards, R. E. (1982). Fourier Series. Graduate Texts in Mathematics. Vol. 85. New York, NY: Springer New York. doi:10.1007/978-1-4613-8156-3. ISBN 978-1-4613-8158-7.
Katznelson 2004, p. 173
The typical conventions in probability theory take $e iξx$ instead of $e - i 2π ξx$ . Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Katznelson 2004, pp. 40, 155, 164. Katznelson, Yitzhak (2004), An Introduction to Harmonic Analysis, Cambridge University Press, doi:10.1017/cbo9781139165372, ISBN 978-0-521-83829-0
Edwards 1982, p. 53. Edwards, R. E. (1982). Fourier Series. Graduate Texts in Mathematics. Vol. 85. New York, NY: Springer New York. doi:10.1007/978-1-4613-8156-3. ISBN 978-1-4613-8158-7.
Correia, L. B.; Justo, J. F.; Angélico, B. A. (2024). "Polynomial Adaptive Synchrosqueezing Fourier Transform: A method to optimize multiresolution". Digital Signal Processing. 150 104526. Bibcode:2024DSPRJ.15004526C. doi:10.1016/j.dsp.2024.104526.
Ablowitz et al. 1974, pp. 249–315. Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey (1974). "The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems". Studies in Applied Mathematics. 53 (4): 249–315. doi:10.1002/sapm1974534249. ISSN 0022-2526. Retrieved 2025-09-21.
Lax 1968, pp. 467–490. Lax, Peter D. (1968). "Integrals of nonlinear equations of evolution and solitary waves". Communications on Pure and Applied Mathematics. 21 (5): 467–490. doi:10.1002/cpa.3160210503. ISSN 0010-3640. Retrieved 2025-09-21.
Yousefi & Kschischang 2014, pp. 4312–4328. Yousefi, Mansoor I; Kschischang, Frank R (2014). "Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools". IEEE Transactions on Information Theory. 60 (7): 4312–4328. arXiv:1202.3653. doi:10.1109/TIT.2014.2321143. ISSN 0018-9448. Retrieved 2025-09-21.
Bailey & Swarztrauber 1994 Bailey, David H.; Swarztrauber, Paul N. (1994), "A fast method for the numerical evaluation of continuous Fourier and Laplace transforms" (PDF), SIAM Journal on Scientific Computing, 15 (5): 1105–1110, Bibcode:1994SJSC...15.1105B, CiteSeerX 10.1.1.127.1534, doi:10.1137/0915067, archived from the original (PDF) on 2008-07-20, retrieved 2017-11-01
Lado 1971 Lado, F. (1971), "Numerical Fourier transforms in one, two, and three dimensions for liquid state calculations", Journal of Computational Physics, 8 (3): 417–433, Bibcode:1971JCoPh...8..417L, doi:10.1016/0021-9991(71)90021-0
Simonen & Olkkonen 1985 Simonen, P.; Olkkonen, H. (1985), "Fast method for computing the Fourier integral transform via Simpson's numerical integration", Journal of Biomedical Engineering, 7 (4): 337–340, doi:10.1016/0141-5425(85)90067-6, PMID 4057997

doverpublications.com (Global: low place; English: low place)

store.doverpublications.com

Kolmogorov & Fomin 1999 Kolmogorov, Andrey Nikolaevich; Fomin, Sergei Vasilyevich (1999) [1957], Elements of the Theory of Functions and Functional Analysis, Dover (translated from Russian)

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Fourier 1878, p. 408 Fourier, J.B. Joseph (1878) [1822], "The Analytical Theory of Heat", Nature, 18 (451), translated by Alexander Freeman, The University Press: 192, Bibcode:1878Natur..18Q.192., doi:10.1038/018192a0 (translated from French)
Celeghini, Gadella & del Olmo 2021 Celeghini, Enrico; Gadella, Manuel; del Olmo, Mariano A. (2021), "Hermite Functions and Fourier Series", Symmetry, 13 (5): 853, arXiv:2007.10406, Bibcode:2021Symm...13..853C, doi:10.3390/sym13050853
Condon 1937 Condon, E. U. (1937), "Immersion of the Fourier transform in a continuous group of functional transformations", Proc. Natl. Acad. Sci., 23 (3): 158–164, Bibcode:1937PNAS...23..158C, doi:10.1073/pnas.23.3.158, PMC 1076889, PMID 16588141
Champeney 1987, p. 80 Champeney, D.C. (1987), A Handbook of Fourier Theorems, Cambridge University Press, Bibcode:1987hft..book.....C
Champeney 1987, p. 63 Champeney, D.C. (1987), A Handbook of Fourier Theorems, Cambridge University Press, Bibcode:1987hft..book.....C
Grafakos & Teschl 2013 Grafakos, Loukas; Teschl, Gerald (2013), "On Fourier transforms of radial functions and distributions", J. Fourier Anal. Appl., 19 (1): 167–179, arXiv:1112.5469, Bibcode:2013JFAA...19..167G, doi:10.1007/s00041-012-9242-5, S2CID 1280745
Correia, L. B.; Justo, J. F.; Angélico, B. A. (2024). "Polynomial Adaptive Synchrosqueezing Fourier Transform: A method to optimize multiresolution". Digital Signal Processing. 150 104526. Bibcode:2024DSPRJ.15004526C. doi:10.1016/j.dsp.2024.104526.
Bailey & Swarztrauber 1994 Bailey, David H.; Swarztrauber, Paul N. (1994), "A fast method for the numerical evaluation of continuous Fourier and Laplace transforms" (PDF), SIAM Journal on Scientific Computing, 15 (5): 1105–1110, Bibcode:1994SJSC...15.1105B, CiteSeerX 10.1.1.127.1534, doi:10.1137/0915067, archived from the original (PDF) on 2008-07-20, retrieved 2017-11-01
Lado 1971 Lado, F. (1971), "Numerical Fourier transforms in one, two, and three dimensions for liquid state calculations", Journal of Computational Physics, 8 (3): 417–433, Bibcode:1971JCoPh...8..417L, doi:10.1016/0021-9991(71)90021-0

lbl.gov (Global: 2,509^th place; English: 2,329^th place)

crd.lbl.gov

Bailey & Swarztrauber 1994 Bailey, David H.; Swarztrauber, Paul N. (1994), "A fast method for the numerical evaluation of continuous Fourier and Laplace transforms" (PDF), SIAM Journal on Scientific Computing, 15 (5): 1105–1110, Bibcode:1994SJSC...15.1105B, CiteSeerX 10.1.1.127.1534, doi:10.1137/0915067, archived from the original (PDF) on 2008-07-20, retrieved 2017-11-01

mit.edu (Global: 415^th place; English: 327^th place)

direct.mit.edu

Wiener 1949 Wiener, Norbert (1949). Extrapolation, Interpolation, and Smoothing of Stationary Time Series: With Engineering Applications. MIT Press. ISBN 978-0-262-25719-0. {{cite book}}: ISBN / Date incompatibility (help)

ncsu.edu (Global: 2,542^nd place; English: 1,675^th place)

lib.ncsu.edu

Lado 1971 Lado, F. (1971), "Numerical Fourier transforms in one, two, and three dimensions for liquid state calculations", Journal of Computational Physics, 8 (3): 417–433, Bibcode:1971JCoPh...8..417L, doi:10.1016/0021-9991(71)90021-0

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Condon 1937 Condon, E. U. (1937), "Immersion of the Fourier transform in a continuous group of functional transformations", Proc. Natl. Acad. Sci., 23 (3): 158–164, Bibcode:1937PNAS...23..158C, doi:10.1073/pnas.23.3.158, PMC 1076889, PMID 16588141
Simonen & Olkkonen 1985 Simonen, P.; Olkkonen, H. (1985), "Fast method for computing the Fourier integral transform via Simpson's numerical integration", Journal of Biomedical Engineering, 7 (4): 337–340, doi:10.1016/0141-5425(85)90067-6, PMID 4057997

ncbi.nlm.nih.gov

Condon 1937 Condon, E. U. (1937), "Immersion of the Fourier transform in a continuous group of functional transformations", Proc. Natl. Acad. Sci., 23 (3): 158–164, Bibcode:1937PNAS...23..158C, doi:10.1073/pnas.23.3.158, PMC 1076889, PMID 16588141

osti.gov (Global: 2,036^th place; English: 1,254^th place)

Lax 1968, pp. 467–490. Lax, Peter D. (1968). "Integrals of nonlinear equations of evolution and solitary waves". Communications on Pure and Applied Mathematics. 21 (5): 467–490. doi:10.1002/cpa.3160210503. ISSN 0010-3640. Retrieved 2025-09-21.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Widder & Wiener 1938, p. 537 Widder, David Vernon; Wiener, Norbert (August 1938), "Remarks on the Classical Inversion Formula for the Laplace Integral", Bulletin of the American Mathematical Society, 44 (8): 573–575, doi:10.1090/s0002-9904-1938-06812-7

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Bailey & Swarztrauber 1994 Bailey, David H.; Swarztrauber, Paul N. (1994), "A fast method for the numerical evaluation of continuous Fourier and Laplace transforms" (PDF), SIAM Journal on Scientific Computing, 15 (5): 1105–1110, Bibcode:1994SJSC...15.1105B, CiteSeerX 10.1.1.127.1534, doi:10.1137/0915067, archived from the original (PDF) on 2008-07-20, retrieved 2017-11-01

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Grafakos & Teschl 2013 Grafakos, Loukas; Teschl, Gerald (2013), "On Fourier transforms of radial functions and distributions", J. Fourier Anal. Appl., 19 (1): 167–179, arXiv:1112.5469, Bibcode:2013JFAA...19..167G, doi:10.1007/s00041-012-9242-5, S2CID 1280745

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Chandrasekharan 1989, pp. 7–8, 84. Chandrasekharan, Komaravolu (1989), Classical Fourier Transforms, Berlin, Heidelberg: Springer Berlin Heidelberg, doi:10.1007/978-3-642-74029-9, ISBN 978-3-540-50248-7

stanford.edu (Global: 179^th place; English: 183^rd place)

statweb.stanford.edu

"Applied Fourier Analysis and Elements of Modern Signal Processing Lecture 3" (PDF). January 12, 2016. Archived from the original (PDF) on 2020-10-03. Retrieved 2019-10-11.

thefouriertransform.com (Global: low place; English: low place)

"The Integration Property of the Fourier Transform". The Fourier Transform .com. 2015 [2010]. Archived from the original on 2022-01-26. Retrieved 2023-08-20.

ucdavis.edu (Global: 1,873^rd place; English: 1,347^th place)

math.ucdavis.edu

Hunter 2014. Hunter, J.K. (2014), "Appendix: The Fourier transform", Lecture Notes on PDEs, retrieved January 12, 2025

unam.mx (Global: 769^th place; English: 1,834^th place)

fis.unam.mx

Wolf 1979, p. 307ff Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5
Wolf 1979, p. 320 Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5
Wolf 1979, p. 312 Wolf, Kurt B. (1979), Integral Transforms in Science and Engineering, Springer, doi:10.1007/978-1-4757-0872-1, ISBN 978-1-4757-0874-5

web.archive.org (Global: 1^st place; English: 1^st place)

"Applied Fourier Analysis and Elements of Modern Signal Processing Lecture 3" (PDF). January 12, 2016. Archived from the original (PDF) on 2020-10-03. Retrieved 2019-10-11.
Bailey & Swarztrauber 1994 Bailey, David H.; Swarztrauber, Paul N. (1994), "A fast method for the numerical evaluation of continuous Fourier and Laplace transforms" (PDF), SIAM Journal on Scientific Computing, 15 (5): 1105–1110, Bibcode:1994SJSC...15.1105B, CiteSeerX 10.1.1.127.1534, doi:10.1137/0915067, archived from the original (PDF) on 2008-07-20, retrieved 2017-11-01
"The Integration Property of the Fourier Transform". The Fourier Transform .com. 2015 [2010]. Archived from the original on 2022-01-26. Retrieved 2023-08-20.

wiley.com (Global: 222^nd place; English: 297^th place)

onlinelibrary.wiley.com

Ablowitz et al. 1974, pp. 249–315. Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey (1974). "The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems". Studies in Applied Mathematics. 53 (4): 249–315. doi:10.1002/sapm1974534249. ISSN 0022-2526. Retrieved 2025-09-21.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Fourier 1822, p. 525 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Fourier 1822 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Fourier 1822, p. 441 Fourier, J.B. Joseph (1822), Théorie analytique de la chaleur (in French), Paris: Firmin Didot, père et fils, OCLC 2688081
Ablowitz et al. 1974, pp. 249–315. Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey (1974). "The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems". Studies in Applied Mathematics. 53 (4): 249–315. doi:10.1002/sapm1974534249. ISSN 0022-2526. Retrieved 2025-09-21.
Lax 1968, pp. 467–490. Lax, Peter D. (1968). "Integrals of nonlinear equations of evolution and solitary waves". Communications on Pure and Applied Mathematics. 21 (5): 467–490. doi:10.1002/cpa.3160210503. ISSN 0010-3640. Retrieved 2025-09-21.
Yousefi & Kschischang 2014, pp. 4312–4328. Yousefi, Mansoor I; Kschischang, Frank R (2014). "Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools". IEEE Transactions on Information Theory. 60 (7): 4312–4328. arXiv:1202.3653. doi:10.1109/TIT.2014.2321143. ISSN 0018-9448. Retrieved 2025-09-21.

Fourier transform (English Wikipedia)

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mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 69th place; English: 59th place)

bnf.fr (Global: 124th place; English: 544th place)

gallica.bnf.fr

books.google.com (Global: 3rd place; English: 3rd place)

cambridge.org (Global: 305th place; English: 264th place)

doi.org (Global: 2nd place; English: 2nd place)