Kramer analytic kernels and first-order boundary value problems

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• 作者：Everitt ; W.N. ; Poulkou ; Anthippi
• 关键词：primary 34B24 ; 41A05 ; secondary 34L05 ; 42A15 ; Ordinary boundary-value problems ; Kramer analytic kernels ; Shannon&ndash ; Whittaker formula
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2002
• 出版时间：November 1, 2002
• 年：2002
• 卷：148
• 期：1
• 页码：29-47
• 全文大小：174 K

文摘

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.