The Hermite functions related to infinite series of generalized convolutions and applications
type: Item
instance of: scholarly article
title: The Hermite functions related to infinite series of generalized convolutions and applications
zbMATH Open document ID: 1273.45002
author: Nguyen Minh Tuan
author: Nguyen Thi Thu Huyen
published in: Complex Analysis and Operator Theory
publication date: 2013-10-10T00:00:00Z
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 6214845
zbMATH Keywords: Hermite function
zbMATH Keywords: generalized convolution
zbMATH Keywords: normed ring
zbMATH Keywords: integral equations of convolution type
MaRDI profile type: Publication
full work available at URL: s11785-010-0053-x
OpenAlex ID: W2124954599
cites work: Q4356296
cites work: Q3748710
cites work: A class of integral transforms related to the fourier cosine convolution
cites work: Convolution equations on finite intervals and factorization of matrix functions
cites work: Convolutions for the Fourier transforms with geometric variables and applications
cites work: Operational properties of two integral transforms of Fourier type and their convolutions
cites work: Q3656157
cites work: Mapping Properties and Composition Structure of Multidimensional Integral Transforms
cites work: Q5674478
cites work: Q4222274
cites work: Construction of unitary irreducible representations of Lie groups
cites work: Q5747473
cites work: Generalized Hermite polynomials and the heat equation for Dunkl operators
cites work: The weierstrass transform and an isometry in the heat equation
cites work: One approach to some general integral transforms and its applications
cites work: Real inversion formulas of the Laplace transform on weighted function spaces
cites work: On the generalized convolution with a weight function for the Fourier sine and cosine transforms
cites work: Q3514069
cites work: Q3735790
cites work: Q3636357
cites work: Q3399029
cites work: Q4301590
DOI: 10.1007/S11785-010-0053-X
description: scientific article; zbMATH DE number 6214845