Sampling theorem associated with a Dirac operator and the Hartley transform

    Authors

    A. I. Zayed;A. G. Garcia

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    STURM-LIOUVILLE PROBLEMS; LAGRANGE INTERPOLATION; Mathematics, Applied; Mathematics

    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. (C) 1997 Academic Press.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    214

    Issue/Number

    2

    Publication Date

    1-1-1997

    Document Type

    Article

    Language

    English

    First Page

    587

    Last Page

    598

    WOS Identifier

    WOS:A1997YC70900015

    ISSN

    0022-247X

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