SOME PROPERTIES OF FRACTIONAL HARTLEY TRANSFORM

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 236

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.10
Author :
Swati Nikam (Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA)
B. Surendranath Reddy (Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA)
Vasant Gaikwad (Department of Mathematics, Shri. Chhatrapati Shivaji College, Omerga, Osmanabad - 413606, Maharashtra, INDIA)

Abstract

This paper is motivated by the ideas of fractional Fourier transform and Hartley transform. Looking towards the practicality and demanding attention of fractional Hartley transform we take keen interest into it. In this paper, we deal with inverse theorem of FRHT and some important properties of fractional Hartley transform like exponential rule, multiplication rule, transform of derivative and derivative of transform, which play a very crucial role in the development of fractional Hartley transform.

Keywords and Phrases

Fourier transform, fractional Fourier transform (FRFT), Hartley transform, fractional Hartley transform (FRHT) and derivative.

A.M.S. subject classification

44A05, 42A38, 42B10, 46F12.

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