EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 38(52), pp. 119--147 (1985)

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NECESSARY AND SUFFICIENT CONDITIONS FOR A SYSTEM OF EIGENFUNCTIONS AND ASSOCIATED FUNCTIONS OF A STURM-LIOUVILLE OPERATOR WITH DISCONTINUOUS COEFFICIENTS TO POSSESS THE BASIS PROPERTY

Nebojsa L. Lazeti\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: In this paper we establish necessary and sufficient conditions which an arbitrary minimal and complete system of eigenfunctions and associated functions of a Sturm--Liouville operator with discontinuous coefficients must satisfy in order to have the basis property in the sense of V.A. Il'in [1].

Classification (MSC2000): 34B25

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition