The continuous fractional wavelet transform on generalized weighted Sobolev spaces-Reference-Cited by-同舟云学术

The continuous fractional wavelet transform on generalized weighted Sobolev spaces

Published:2015-09 Issue:03 Volume:08 Page:1550054
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Prasad Akhilesh¹,Kumar Praveen¹

Affiliation:

1. Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India

Abstract

In this paper, the continuous fractional wavelet transform is defined and boundedness results of this transform on generalized weighted Sobolev spaces are obtained. Characterization of the range of continuous fractional wavelet transform is also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557115500540

Reference19 articles.

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2. On the range and inversion of fractional integrals in weighted spaces

3. CBMS-NSF Regional Conference Series in Applied Mathematics;Daubechies I.,2006

4. Wavelet Transforms and Their Applications

5. On the Range of Some Fractional Integrals

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