Multivariate shift invariant operators
type: Item
instance of: scholarly article
title: Multivariate shift invariant operators
zbMATH Open document ID: 0612.41040
DOI: 10.1016/0022-247X(86)90271-4
author: S. N. Singh
author: Sudha Asthana
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: In the paper of \textit{G. Rota}, \textit{D. Kahaner} and \textit{A. Odlyzko} [J. Math. Anal. Appl. 42, 685-760 (1973)], a connection between the shift invariant operator and the Sheffer type set is given. The author considers multivariate analogues of the delta operator, the basis polynomials and the Sheffer set of polynomials. A connection between multivariate shift invariant operators and Sheffer type polynomials (relatives to a delta operator) are established. In addition different theorems on expansion for the shift invariant operator are given.
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 47A67
zbMATH DE Number: 3990033
zbMATH Keywords: polynomials of binomial type
zbMATH Keywords: delta operator
zbMATH Keywords: Sheffer set of polynomials
zbMATH Keywords: shift invariant operator
MaRDI profile type: Publication
cites work: Polynomials of binomial type and approximation theory
cites work: On the foundations of combinatorial theory. VIII: Finite operator calculus
full work available at URL: 0022-247x(86)90271-4
OpenAlex ID: W1974383281
description: scientific article; zbMATH DE number 3990033