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Frames, Bases and Group Representations
 
Deguang Han McMaster University, Hamilton, ON, Canada
David R. Larson Texas A & M University, College Station, TX
Front Cover for Frames, Bases and Group Representations
Available Formats:
Electronic ISBN: 978-1-4704-0288-4
Product Code: MEMO/147/697.E
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $30.60
Front Cover for Frames, Bases and Group Representations
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  • Front Cover for Frames, Bases and Group Representations
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Frames, Bases and Group Representations
Deguang Han McMaster University, Hamilton, ON, Canada
David R. Larson Texas A & M University, College Station, TX
Available Formats:
Electronic ISBN:  978-1-4704-0288-4
Product Code:  MEMO/147/697.E
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $30.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1472000; 94 pp
    MSC: Primary 46; 47; 42;

    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.

    Readership

    Graduate students and research mathematicians interested in functional analysis.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Basic theory for frames
    • 2. Complementary frames and disjointness
    • 3. Frame vectors for unitary systems
    • 4. Gabor type unitary systems
    • 5. Frame wavelets, super-wavelets and frame sets
    • 6. Frame representations for groups
    • 7. Concluding remarks
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Volume: 1472000; 94 pp
MSC: Primary 46; 47; 42;

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.

Readership

Graduate students and research mathematicians interested in functional analysis.

  • Chapters
  • Introduction
  • 1. Basic theory for frames
  • 2. Complementary frames and disjointness
  • 3. Frame vectors for unitary systems
  • 4. Gabor type unitary systems
  • 5. Frame wavelets, super-wavelets and frame sets
  • 6. Frame representations for groups
  • 7. Concluding remarks
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