Tohoku Mathematical Journal
2004
September
SECOND SERIES VOL. 56, NO. 3

Tohoku Math. J.
56 (2004), 411-421

Title THE WAVELET TRANSFORM OF DISTRIBUTIONS

Author Ram S. Pathak

(Received January 27, 2003, revised October 15, 2003)
Abstract. The continuous wavelet transform is extended to certain distributions and continuity results are obtained. Boundedness results in a generalized Sobolev space, Besov space and Lizorkin-Triebel space are given.

2000 Mathematics Subject Classification. Primary 42C40; Secondary 46F12.
Key words and phrases. Continuous wavelet transform, distributions, Sobolev space, Besov space, Lizorkin-Triebel space.

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