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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Jeffrey A. Hogan and Joseph D. Lakey
Title: Time-frequency and time-scale methods
Additional book information: Birkhäuser, Boston, 2005, xxii+390 pp., US$74.95, ISBN 0-8176-4276-5


References:

1.
A. Córdoba and C. Fefferman, Wave packets and Fourier integral operators, Comm. Partial Differential Equations 3 (1978), no. 11, 979-1005. MR 0507783 (80a:35117)

2.
I. Daubechies, Ten lectures on wavelets, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1162107 (93e:42045)

3.
H. G. Feichtinger and T. Strohmer (eds.), Gabor analysis and algorithms: theory and applications, Birkhäuser Boston, Boston, MA, 1998. MR 1601119 (98h:42001)

4.
G. B. Folland, Harmonic analysis in phase space, Princeton Univ. Press, Princeton, NJ, 1989. MR 0983366 (92k:22017)

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 (2002h:42001)

8.
Michael Lacey and Christoph Thiele, On Calderón's conjecture, Ann. of Math. (2) 149 (1999), no. 2, 475-496. MR 1689336 (2000d:42003)

9.
Michael T. Lacey, Carleson's theorem: proof, complements, variations, Publ. Mat. 48 (2004), no. 2, 251-307. MR 2091007 (2005e:42020)

10.
J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932; English translation: ``Mathematical foundations of quantum mechanics'', Princeton Univ. Press, 1955. MR 0066944 (16:654a)

11.
David F. Walnut, An introduction to wavelet analysis, Applied and Numerical Harmonic Analysis, Birkhäuser Boston Inc., Boston, MA, 2002. MR 1854350 (2002f:42039)

12.
H. Weyl, The theory of groups and quantum mechanics, Methuen (London) 1931, reprinted by Dover Publications, New York, 1950.


Additional Information:

Reviewer(s):
Karlheinz Gröchenig
Affiliation: University of Vienna
Email: karlheinz.groechenig@univie.ac.at

Review Information:
Journal: Bull. Amer. Math. Soc. 44 (2007), 285-290.

MSC (2000): Primary 42AXX, 42C40; Secondary 42B20, 42B35, 42C15, 47G30, 65T60, 94A12, 94A20
PII: S 0273-0979(06)01129-3
Posted: October 4, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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