On the convolutions of Fourier-type transforms
type: Item
instance of: scholarly article
title: On the convolutions of Fourier-type transforms
zbMATH Open document ID: 1236.42004
author: Nguyen Minh Khoa
published in: Acta Mathematica Vietnamica
publication date: 2011-12-19T00:00:00Z
full work available at URL: Toc ACTA 2 36.htm
review text: The author introduces first generalized convolutions of the \(n\)-dimensional Fourier transform depending on two pairs \((A,a)\), \((B,b)\), where \(A\) and \(B\) are \(n\times n\) matrices and \(a\), \(b\) vectors of the \(n\)-dimensional Euclidean space. Then a convolution of the two-dimensional Fourier cosine transform and poly-convolutions of the one-dimensional Fourier cosine transform are considered and properties of the convolution are derived. An application on the solution of integral equations is added.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 42A85
Mathematics Subject Classification ID: 45A05
zbMATH DE Number: 5989468
zbMATH Keywords: Fourier transforms
zbMATH Keywords: convolutions
zbMATH Keywords: poly-convolutions
zbMATH Keywords: integral equations
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5989468