Discontinuous Sturm-Liouville problems and associated sampling theories
type: Item
instance of: scholarly article
title: Discontinuous Sturm-Liouville problems and associated sampling theories
zbMATH Open document ID: 1229.94039
DOI: 10.1155/2011/610232
author: Juan-Miguel Gracia
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Summary: This paper investigates the sampling analysis associated with discontinuous Sturm-Liouville problems with eigenvalue parameters in two boundary conditions and with transmission conditions at the point of discontinuity. We closely follow the analysis derived by Fulton (1977) to establish the needed relations for the derivations of the sampling theorems including the construction of Green's function as well as the eigenfunction expansion theorem. We derive sampling representations for transforms whose kernels are either solutions or Green's functions. In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in the work of Annaby and Tharwat (2006).
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 5997812
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/610232
OpenAlex ID: W2061645027
Wikidata QID: Q58654351
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description: scientific article; zbMATH DE number 5997812