Generalized continuous wavelet transform on locally compact abelian group

M.M. Dixit, C.P. Pandey, Deepanjan Das

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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Published: 2019-05-31

How to Cite this Article:

M.M. Dixit, C.P. Pandey, Deepanjan Das, Generalized continuous wavelet transform on locally compact abelian group, Advances in Inequalities and Applications, Vol 2019 (2019), Article ID 10

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.

Advances in Inequalities and Applications

ISSN 2050-7461

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