Bilinear biorthogonal expansions and the Dunkl kernel on the real line
type: Item
instance of: scholarly article
title: Bilinear biorthogonal expansions and the Dunkl kernel on the real line
zbMATH Open document ID: 1250.94019
author: Luís Daniel Abreu
author: Óscar Ciaurri
author: Juan Luis Varona
published in: Expositiones Mathematicae
publication date: 2012-03-22T00:00:00Z
Mathematics Subject Classification ID: 94A11
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 6017620
zbMATH Keywords: bilinear expansion
zbMATH Keywords: biorthogonal expansion
zbMATH Keywords: plane wave expansion
zbMATH Keywords: sampling theorem
zbMATH Keywords: Fourier-Neumann expansion
zbMATH Keywords: Dunkl transform
zbMATH Keywords: special functions
MaRDI profile type: Publication
full work available at URL: j.exmath.2011.08.001
OpenAlex ID: W2963164228
cites work: The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems
cites work: Q5714603
cites work: The multiplier of the interval \([-1,1]\) for the Dunkl transform on the real line
cites work: Mean and almost everywhere convergence of Fourier-Neumann series
cites work: Mean convergence of Fourier-Dunkl series
cites work: A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform
cites work: Differential-Difference Operators Associated to Reflection Groups
cites work: Integral Kernels with Reflection Group Invariance
cites work: Orthogonal polynomials of several variables
cites work: Q5827353
cites work: Q5820721
cites work: Expansions of Hypergeometric Functions in Hypergeometric Functions
cites work: Orthogonal Sampling Formulas: A Unified Approach
cites work: An Interpolation Series Associated with the Bessel-Hankel Transform
cites work: Q5703969
cites work: Diagonalization of certain integral operators
cites work: The Dunkl transform
cites work: A Generalized Sampling Theorem
cites work: Q4317810
cites work: A positive radial product formula for the Dunkl kernel
cites work: One approach to some general integral transforms and its applications
cites work: Q4347099
cites work: Fourier series of functions whose Hankel transform is supported on \([0,1]\)
cites work: Q5679132
cites work: Q5846799
cites work: A generalization of the prolate spheroidal wave functions
cites work: Q4319646
DOI: 10.1016/J.EXMATH.2011.08.001
description: scientific article; zbMATH DE number 6017620