On lagrange-type interpolation series and analytic kramer kernels
Results in Mathematics, ISSN: 1422-6383, Vol: 51, Issue: 3-4, Page: 215-228
2008
- 17Citations
- 3Captures
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Article Description
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. A challenging problem is to characterize the situations when these sampling formulas can be written as Lagrange-type interpolation series. This article gives a necessary and sufficient condition to ensure that when the sampling formula is associated with an analytic Kramer kernel, then it can be expressed as a quasi Lagrange-type interpolation series; this latter form is a minor but significant modification of a Lagrange-type interpolation series. Finally, a link with the theory of de Branges spaces is established.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=43349104024&origin=inward; http://dx.doi.org/10.1007/s00025-007-0271-3; http://link.springer.com/10.1007/s00025-007-0271-3; http://link.springer.com/content/pdf/10.1007/s00025-007-0271-3; http://link.springer.com/content/pdf/10.1007/s00025-007-0271-3.pdf; http://link.springer.com/article/10.1007/s00025-007-0271-3/fulltext.html; http://www.springerlink.com/index/10.1007/s00025-007-0271-3; http://www.springerlink.com/index/pdf/10.1007/s00025-007-0271-3; https://dx.doi.org/10.1007/s00025-007-0271-3; https://link.springer.com/article/10.1007/s00025-007-0271-3
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