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Information Journal Paper

Title

EXTENSION OF SHIFT-INVARIANT FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS

Author(s)

RASHIDI KOUCHI M. | NAZARI A.

Pages

  41-48

Abstract

 Let G be a LOCALLY COMPACT ABELIAN GROUP with a uniform lattice sub-group. In this paper, we verify extension of shift-invariant systems in L2 (G) to tight FRAMES. We show that any shift-invariant Bessel sequence with an at most countable number of generators in L2 (G) can be extended to a tight frame for its closed linear span by adding another shift-invariant system with at most the same number of generators in L2 (G). Also, we yield an extension of the given Bessel sequence to a pair of DUAL FRAME sequences.

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    Cite

    APA: Copy

    RASHIDI KOUCHI, M., & NAZARI, A. (2014). EXTENSION OF SHIFT-INVARIANT FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS. JOURNAL OF MATHEMATICAL EXTENSION, 8(3), 41-48. https://sid.ir/paper/678091/en

    Vancouver: Copy

    RASHIDI KOUCHI M., NAZARI A.. EXTENSION OF SHIFT-INVARIANT FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS. JOURNAL OF MATHEMATICAL EXTENSION. 2014 [cited 2023January29];8(3):41-48. Available from: https://sid.ir/paper/678091/en

    IEEE: Copy

    RASHIDI KOUCHI, M., NAZARI, A., 2014. EXTENSION OF SHIFT-INVARIANT FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS. JOURNAL OF MATHEMATICAL EXTENSION, [online] 8(3), pp.41-48. Available: https://sid.ir/paper/678091/en.