Title

Sampling theorem associated with a Dirac operator and the Hartley transform

Abstract

Kramer's sampling theorem indicates that, under certain conditions, sampling theorems associated with boundary-value problems involving nth order self-adjoint differential operators can be obtained. In this paper, we extend this result and derive a sampling theorem associated with boundary-value problems involving a one-dimensional system of Dirac operators. As a special case, we obtain a sampling theorem for the Hartley transform of a bandlimited function. © 1997 Academic Press.

Publication Date

10-15-1997

Publication Title

Journal of Mathematical Analysis and Applications

Volume

214

Issue

2

Number of Pages

587-598

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.1997.5598

Socpus ID

0031245230 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0031245230

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