Classification of finite group-frames and super-frames

    Authors

    D. G. Han

    Comments

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    Abbreviated Journal Title

    Can. Math. Bul.-Bul. Can. Math.

    Keywords

    frames; group-frames; frame representations; disjoint frames; TIGHT FRAMES; REPRESENTATIONS; ERASURES; GABOR; Mathematics

    Abstract

    Given a finite group G, we examine the classification of all frame representations of G and the classification of all G-frames, i.e., frames induced by group representations of G. We show that the exact number of equivalence classes of G-frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number L such that there exists an L-tuple of strongly disjoint G-frames.

    Journal Title

    Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques

    Volume

    50

    Issue/Number

    1

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    85

    Last Page

    96

    WOS Identifier

    WOS:000244614600008

    ISSN

    0008-4395

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