Continuous Wavelet Transform of Schwartz Tempered Distributions in S′ ( R n )

In this paper, we define a continuous wavelet transform of a Schwartz tempered distribution f ∈ S ′ ( R n ) with wavelet kernel ψ ∈ S ( R n ) and derive the corresponding wavelet inversion formula interpreting convergence in the weak topology of S ′ ( R n ) . It turns out that the wavelet transform...

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Bibliographic Details

Published in:	Symmetry (Basel) Vol. 11; no. 2; p. 235
Main Authors:	Pandey, Jagdish Narayan, Maurya, Jay Singh, Upadhyay, Santosh Kumar, Srivastava, Hari Mohan
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.02.2019
Subjects:	Continuous wavelet transform Fourier transforms Mathematical functions Topology Wavelet transforms
ISSN:	2073-8994, 2073-8994
Online Access:	Get full text
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