Frames, Bases and Group Representations (Memoirs of the American Mathematical Society)

Frames, Bases and Group Representations (Memoirs of the American Mathematical Society)

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Description

We develop an operator-theoretic approach to discrete frame theory on a separable Hilbert space. We then apply this to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. We also obtain applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems.

Contents

Introduction Basic theory for frames Complementary frames and disjointness Frame vectors for unitary systems Gabor type unitary systems Frame wavelets, super-wavelets and frame sets Frame representations for groups Concluding remarks Bibliography.

Product Details

  • ISBN13: 9780821820674
  • Format: Paperback
  • Number Of Pages: 94
  • ID: 9780821820674
  • ISBN10: 0821820672

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