Convolution algebras arising from Sturm-Liouville transforms and applications

Jason P. Huffman and Henry E. Heatherly

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-8

Abstract:

A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation. In this paper, we study the properties of convolution algebras arising in this fashion from a regular Sturm-Liouville problem. We give applications of these convolution algebras for solving certain differential and integral equations, and we outline an operational calculus for classes of such equations.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:724684

DOI: 10.1155/S0161171201010584

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