Bulletin of the American Mathematical Society

MathSciNet review: 1568100
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Randy K. Young
Title: Wavelet theory and its applications
Additional book information: Kluwer Academic Publishers, Boston, Dordrecht, and London, 1993, vix\ +\ 223 pp., US$67.50. ISBN 0-7923-9271-X.

[1]

G. A. Carpenter, Neural network models for pattern recognition and associative memory, Neural Network 2 (1989), 243-257.

A. Grossmann and J. Morlet, Decomposition of functions into wavelets of constant shape, and related transforms, Mathematics + physics. Vol. 1, World Sci. Publishing, Singapore, 1985, pp. 135–165. MR 849345

L. Hörmander, The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math. 32 (1979), no. 3, 360–444. MR 517939, DOI 10.1002/cpa.3160320304

[4]

H. Kobayashi, T. Matsumoto, T. Yagi, and T. Shimmi, Image processing regularization filters on layered architecture, Neural Networks 6 (1993), 327-350.

W. Schempp, Harmonic analysis on the Heisenberg nilpotent Lie group, with applications to signal theory, Pitman Research Notes in Mathematics Series, vol. 147, Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1986. MR 872095

[6]

-, Quantum holography and neurocomputer architectures, Holography, Commemorating the 90th Anniversary of the Birth of Dennis Gabor (P. Greguss and T. H. Jeong, eds.), SPIE Optical Engineering Press, Bellingham, WA, 1991, pp. 62-144.

[7]

-, Quantum computation in ultrasonic acoustic chaos physics (to appear).

Gilbert Strang, Wavelet transforms versus Fourier transforms, Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 288–305. MR 1191480, DOI 10.1090/S0273-0979-1993-00390-2

[1]

G. A. Carpenter, Neural network models for pattern recognition and associative memory, Neural Network 2 (1989), 243-257.

[2]

A. Grossmann and J. Morlet, Decomposition of functions into wavelets of constant shape, and related transforms, Mathematics and Physics, Lectures on Recent Results, Vol. 1 (L. Streit, ed.), World Scientific Publishing, Singapore and Philadelphia, 1985, pp. 135-165. MR 849345 (87i:22027)

[3]

L. Hörmander, The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math. 32 (1979), 359-443. MR 517939 (80j:47060)

[4]

H. Kobayashi, T. Matsumoto, T. Yagi, and T. Shimmi, Image processing regularization filters on layered architecture, Neural Networks 6 (1993), 327-350.

[5]

W. Schempp, Harmonic analysis on the Heisenberg nilpotent Lie group, with applications to signal theory, Wiley, New York, 1986. MR 872095 (88f:22025)

[6]

-, Quantum holography and neurocomputer architectures, Holography, Commemorating the 90th Anniversary of the Birth of Dennis Gabor (P. Greguss and T. H. Jeong, eds.), SPIE Optical Engineering Press, Bellingham, WA, 1991, pp. 62-144.

[7]

-, Quantum computation in ultrasonic acoustic chaos physics (to appear).

[8]

G. Strang, Wavelet transforms versus Fourier transforms, Bull. Amer. Math. Soc. (N.S.) 28 (1993), 288-305. MR 1191480 (94b:42017)