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Advances in Inequalities and Applications ISSN 2050-7461

Archives › Volume 2019 (2019)

Adv. Inequal. Appl. 2019 (2019), Article ID 10

Generalized continuous wavelet transform on locally compact abelian group

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

PDF (296.0 KB) https://doi.org/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.

Published
31 May 2019
Volume
2019 (2019)
License
CC BY 3.0

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.

Cite this article

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

BibTeX
@article{Dixit2019,
  author  = {Dixit, M.M. and Pandey, C.P. and Das, Deepanjan},
  title   = {Generalized continuous wavelet transform on locally compact abelian group},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {10},
  doi     = {10.28919/aia/4067}
}