Frames associated with measurable spaces

    Authors

    J. P. Gabardo;D. G. Han

    Abbreviated Journal Title

    Adv. Comput. Math.

    Keywords

    frame; measure space; Hilbert space; analysis operator; dilation and; perturbation; representing measure; Mathematics, Applied

    Abstract

    We present two results dealing with dilation and perturbation properties of general frames, which generalize the works of several authors in the theory of discrete frames. We also study the representing measures associated with frames. In particular, we give a necessary and sufficient condition for a representing measure to be an extreme point of the set of representing measures and show how it can be used in some concrete examples.

    Journal Title

    Advances in Computational Mathematics

    Volume

    18

    Issue/Number

    2-4

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    127

    Last Page

    147

    WOS Identifier

    WOS:000179558700004

    ISSN

    1019-7168

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