Some Properties of Fractional Boas Transforms of Wavelets-Reference-Cited by-同舟云学术

Some Properties of Fractional Boas Transforms of Wavelets

Published:2021-03-15 Issue: Volume:2021 Page:1-14
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Khanna Nikhil¹^ORCID,Zothansanga A.²,Kaushik S. K.³^ORCID,Kumar Dilip²

Affiliation:

1. Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi 110021, India

2. Department of Mathematics, University of Delhi, Delhi-110007, India

3. Department of Mathematics, Kirori Mal College, University of Delhi, Delhi-110007, India

Abstract

In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional Boas transforms is done.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6689779.pdf

Reference46 articles.

1. The Fractional Fourier Transform in Optical Propagation Problems

2. The fractional Fourier transform and time-frequency representations

3. The Fractional Order Fourier Transform and its Application to Quantum Mechanics

4. Image rotation, Wigner rotation, and the fractional Fourier transform

5. WURZELN AUS DER HANKEL-, FOURIER-UND AUS ANDEREN STETIGEN TRANSFORMATIONEN

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