On the analytic form of the discrete Kramer sampling theorem

The classical Kramer sampling theorem is, in the subject of self‐adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm‐Liouville problems. In this paper a discrete version of the analytic Kramer sampli...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of mathematics and mathematical sciences Vol. 25; no. 11; pp. 709 - 715
Main Authors García, Antonio G., Hernández-Medina, Miguel A., Muñoz-Bouzo, María J.
Format Journal Article
LanguageEnglish
Published Wiley 01.01.2001
Online AccessGet full text

Cover

More Information
Summary:The classical Kramer sampling theorem is, in the subject of self‐adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm‐Liouville problems. In this paper a discrete version of the analytic Kramer sampling theorem is proved. Orthogonal polynomials arising from indeterminate Hamburger moment problems as well as polynomials of the second kind associated with them provide examples of Kramer analytic kernels.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171201005385