Multidimensional sampling theorems for multivariate discrete transforms

Abstract This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations. We define a discrete type partial difference operator and investigate its spectral properties. Green’s function is con...

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Bibliographic Details
Main Author: H. A. Hassan
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03368-y