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Integrability of the continuum wavelet kernel
Author(s):
Mark
A.
Pinsky
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1729-1737.
MSC (2000):
Primary 42C40;
Secondary 44A35
Posted:
October 15, 2003
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Abstract:
We state and prove sufficient conditions for the absolute integrability of the inverse of the continuum wavelet kernel.
References:
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- A. Grossman and J. Morlet, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM Journal of Mathematical Analysis 15 (1984), 723-726. MR 85i:81146
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- [D]
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- [I]
- S. Igari, Real Analysis, with an Introduction to Wavelet Theory, Translations of Mathematical Monographs, No. 177, American Mathematical Society, Providence, RI, 1997. MR 99g:00005
- [M]
- S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, CA, 1998, Second Edition. MR 99m:94012
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- E. M. Stein and G. Weiss, An Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, NJ, 1971. MR 46:4102
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Additional Information:
Mark
A.
Pinsky
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730
Email:
pinsky@math.nwu.edu
DOI:
10.1090/S0002-9939-03-07253-8
PII:
S 0002-9939(03)07253-8
Received by editor(s):
June 23, 2002
Received by editor(s) in revised form:
January 29, 2003
Posted:
October 15, 2003
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2003,
American Mathematical Society
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