Generalized continuous wavelet transform on locally compact abelian group

M.M. Dixit, C.P. Pandey, Deepanjan Das
Published 2019-05-31
DOI 10.28919/aia/4067

Abstract

In this paper the mother wavelet on locally compact abelian groups is defined. The continuous wavelet transforms (CWT) and some of its basic properties are obtained. Its inversion formula, the Parseval relation and associated convolution are also studied.
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How to Cite this Article

M.M. Dixit, C.P. Pandey, Deepanjan Das, Generalized continuous wavelet transform on locally compact abelian group, Adv. Inequal. Appl., 2019 (2019), Article ID 10. https://doi.org/10.28919/aia/4067

Copyright © 2019 M.M. Dixit, C.P. Pandey, Deepanjan Das. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.