Wavelet transform of generalized functions in K′{Mp} spaces

Using convolution theory in K { M p } space we obtain bounded results for the wavelet transform. Calderón-type reproducing formula is derived in distribution sense as an application of the same. An inversion formula for the wavelet transform of generalized functions is established.

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Bibliographic Details
Published in:	Proceedings of the Indian Academy of Sciences. Mathematical sciences Vol. 126; no. 2; pp. 213 - 226
Main Authors:	PATHAK, R S, SINGH, ABHISHEK
Format:	Journal Article
Language:	English
Published:	New Delhi Springer India 01.05.2016
Subjects:	Mathematics Mathematics and Statistics Schwartz distributions and Continuous wavelet transform { Gel’fand-Shilov spaces } Primary: 46F12; Secondary: 42C40
ISSN:	0253-4142, 0973-7685
Online Access:	Get full text
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Description
Summary:	Using convolution theory in K { M p } space we obtain bounded results for the wavelet transform. Calderón-type reproducing formula is derived in distribution sense as an application of the same. An inversion formula for the wavelet transform of generalized functions is established.
ISSN:	0253-4142 0973-7685
DOI:	10.1007/s12044-016-0281-8