Premium
Convolution theorems associated with some integral operators and convolutions
Author(s) -
AlOmari Shrideh K. Q.,
Baleanu Dumitru
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5359
Subject(s) - convolution (computer science) , convolution theorem , mathematics , convolution power , fourier transform , circular convolution , hartley transform , overlap–add method , pure mathematics , algebra over a field , mathematical analysis , fourier analysis , fractional fourier transform , computer science , machine learning , artificial neural network
In this article, various convolution theorems involving certain weight functions and convolution products are derived. The convolution theorems we obtain are more general, convenient, and efficient than the complicated convolution theorem of the Hartley transform. Further results involving new variants of generalizations of Fourier and Hartley transforms are also discussed.