Kramer analytic kernels and first-order boundary value problems

W Everitt, A Poulkou

Research output: Contribution to journalArticle

18 Citations (Scopus)


This paper is concerned with the generation of Kramer analytic kernels from first-order, linear, ordinary boundary-value problems. These kernels are obtained from boundary-value problems that are represented by self-adjoint differential operators. Necessary and sufficient conditions are given to ensure that these differential operators have a discrete spectrum which then allows of the introduction of the associated Kramer analytic kernel. An example is considered which leads to the important Shannon-Whittaker interpolation expansion theorem. (C) 2002 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)29-47
Number of pages19
JournalJournal of Computational and Applied Mathematics
Issue number1
Publication statusPublished - 1 Nov 2002


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