Book Review
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Book Information:
Authors:
Jeffrey A. Hogan and
Joseph D. Lakey
Title:
Time-frequency and time-scale methods
Additional book information:
Birkhäuser,
Boston,
2005,
xxii+390 pp.,
ISBN 0-8176-4276-5,
US$74.95$
Antonio Córdoba and Charles Fefferman, Wave packets and Fourier integral operators, Comm. Partial Differential Equations 3 (1978), no. 11, 979–1005. MR 507783, DOI 10.1080/03605307808820083
Ingrid Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1162107, DOI 10.1137/1.9781611970104
Hans G. Feichtinger and Thomas Strohmer (eds.), Gabor analysis and algorithms, Applied and Numerical Harmonic Analysis, Birkhäuser Boston, Inc., Boston, MA, 1998. Theory and applications. MR 1601119, DOI 10.1007/978-1-4612-2016-9
Gerald B. Folland, Harmonic analysis in phase space, Annals of Mathematics Studies, vol. 122, Princeton University Press, Princeton, NJ, 1989. MR 983366, DOI 10.1515/9781400882427
5. D. Gabor, Theory of communication, J. IEE (London) 93 (1946), no. III, 429-457.
6. Loukas Grafakos, Classical and Modern Fourier Analysis, Pearson Education, Upper Saddle River, NJ, 2004.
Karlheinz Gröchenig, Foundations of time-frequency analysis, Applied and Numerical Harmonic Analysis, Birkhäuser Boston, Inc., Boston, MA, 2001. MR 1843717, DOI 10.1007/978-1-4612-0003-1
Michael Lacey and Christoph Thiele, On Calderón’s conjecture, Ann. of Math. (2) 149 (1999), no. 2, 475–496. MR 1689336, DOI 10.2307/120971
Michael T. Lacey, Carleson’s theorem: proof, complements, variations, Publ. Mat. 48 (2004), no. 2, 251–307. MR 2091007, DOI 10.5565/PUBLMAT_{4}8204_{0}1
John von Neumann, Mathematical foundations of quantum mechanics, Princeton University Press, Princeton, N.J., 1955. Translated by Robert T. Beyer. MR 0066944
David F. Walnut, An introduction to wavelet analysis, Applied and Numerical Harmonic Analysis, Birkhäuser Boston, Inc., Boston, MA, 2002. MR 1854350
12. H. Weyl, The theory of groups and quantum mechanics, Methuen (London) 1931, reprinted by Dover Publications, New York, 1950.
- 1.
- A. Córdoba and C. Fefferman, Wave packets and Fourier integral operators, Comm. Partial Differential Equations 3 (1978), no. 11, 979-1005. MR 0507783
- 2.
- I. Daubechies, Ten lectures on wavelets, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1162107
- 3.
- H. G. Feichtinger and T. Strohmer (eds.), Gabor analysis and algorithms: theory and applications, Birkhäuser Boston, Boston, MA, 1998. MR 1601119
- 4.
- G. B. Folland, Harmonic analysis in phase space, Princeton Univ. Press, Princeton, NJ, 1989. MR 0983366
- 5.
- D. Gabor, Theory of communication, J. IEE (London) 93 (1946), no. III, 429-457.
- 6.
- Loukas Grafakos, Classical and Modern Fourier Analysis, Pearson Education, Upper Saddle River, NJ, 2004.
- 7.
- Karlheinz Gröchenig, Foundations of time-frequency analysis, Birkhäuser Boston Inc., Boston, MA, 2001. MR 1843717
- 8.
- Michael Lacey and Christoph Thiele, On Calderón's conjecture, Ann. of Math. (2) 149 (1999), no. 2, 475-496. MR 1689336
- 9.
- Michael T. Lacey, Carleson's theorem: proof, complements, variations, Publ. Mat. 48 (2004), no. 2, 251-307. MR 2091007
- 10.
- J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932; English translation: ``Mathematical foundations of quantum mechanics'', Princeton Univ. Press, 1955. MR 0066944
- 11.
- David F. Walnut, An introduction to wavelet analysis, Applied and Numerical Harmonic Analysis, Birkhäuser Boston Inc., Boston, MA, 2002. MR 1854350
- 12.
- H. Weyl, The theory of groups and quantum mechanics, Methuen (London) 1931, reprinted by Dover Publications, New York, 1950.
Review Information:
Reviewer:
Karlheinz Gröchenig
Affiliation:
University of Vienna
Email:
karlheinz.groechenig@univie.ac.at
Journal:
Bull. Amer. Math. Soc.
44 (2007), 285-290
Published electronically:
October 4, 2006
Review copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.