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.
@article{1113246676,
author = {Pathak, Ram S.},
title = {The wavelet transform of distributions},
journal = {Tohoku Math. J. (2)},
volume = {56},
number = {1},
year = {2004},
pages = { 411-421},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246676}
}
Pathak, Ram S. The wavelet transform of distributions. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp. 411-421. http://gdmltest.u-ga.fr/item/1113246676/