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Frames and Harmonic Analysis
 
Edited by: Yeonhyang Kim Central Michigan University, Mount Pleasant, MI
Sivaram K. Narayan Central Michigan University, Mount Pleasant, MI
Gabriel Picioroaga University of South Dakota, Vermillion, SD
Eric S. Weber Iowa State University, Ames, IA
Frames and Harmonic Analysis
Softcover ISBN:  978-1-4704-3619-3
Product Code:  CONM/706
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4723-6
Product Code:  CONM/706.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-3619-3
eBook: ISBN:  978-1-4704-4723-6
Product Code:  CONM/706.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Frames and Harmonic Analysis
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Frames and Harmonic Analysis
Edited by: Yeonhyang Kim Central Michigan University, Mount Pleasant, MI
Sivaram K. Narayan Central Michigan University, Mount Pleasant, MI
Gabriel Picioroaga University of South Dakota, Vermillion, SD
Eric S. Weber Iowa State University, Ames, IA
Softcover ISBN:  978-1-4704-3619-3
Product Code:  CONM/706
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4723-6
Product Code:  CONM/706.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-3619-3
eBook ISBN:  978-1-4704-4723-6
Product Code:  CONM/706.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7062018; 343 pp
    MSC: Primary 15; 41; 42; 43; 46; 47; 94

    This volume contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held from April 16-17, 2016, at North Dakota State University in Fargo, North Dakota.

    The papers appearing in this volume cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

    Readership

    Graduate students and research mathematicians interested in frame theory and applications to approximation theory, data science, representation theory, functional and harmonic analysis.

  • Table of Contents
     
     
    • Articles
    • Jameson Cahill, Peter G. Casazza, John I. Haas and Janet Tremain — Constructions of biangular tight frames and their relationships with equiangular tight frames
    • Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng, John Haas, Tin T. Tran, Janet C. Tremain and Zhiqiang Xu — Phase retrieval by hyperplanes
    • David Ellis, Eric Hayashi and Shidong Li — Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis
    • Roza Aceska, Jean-Luc Bouchot and Shidong Li — Fusion frames and distributed sparsity
    • Marcin Bownik — The Kadison-Singer problem
    • Anatoly G. Baskakov and Ilya A. Krishtal — Spectral properties of an operator polynomial with coefficients in a Banach algebra
    • Xuemei Chen — The Kaczmarz algorithm, row action methods, and statistical learning algorithms
    • Radu Balan, Maneesh Singh and Dongmian Zou — Lipschitz properties for deep convolutional networks
    • Matthew Begué and Kasso A. Okoudjou — Invertibility of graph translation and support of Laplacian Fiedler vectors
    • Jean-Pierre Gabardo — Weighted convolution inequalities and Beurling density
    • Laura De Carli and Pierluigi Vellucci — $p$-Riesz bases in quasi shift invariant spaces
    • Dorin Ervin Dutkay and Isabelle Kraus — On spectral sets of integers
    • Ian Long — Spectral fractal measures associated to IFS’s consisting of three contraction mappings
    • John E. Herr, Palle E. T. Jorgensen and Eric S. Weber — A matrix characterization of boundary representations of positive matrices in the Hardy space
    • Mutaz Mohammad and En-Bing Lin — Gibbs effects using Daubechies and Coiflet tight framelet systems
    • Yeon Hyang Kim — Conditions on shape preserving of stationary polynomial reproducing subdivision schemes
    • Daniel Alpay, Palle Jorgensen and Izchak Lewkowicz — $W$-Markov measures, transfer operators, wavelets and multiresolutions
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7062018; 343 pp
MSC: Primary 15; 41; 42; 43; 46; 47; 94

This volume contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held from April 16-17, 2016, at North Dakota State University in Fargo, North Dakota.

The papers appearing in this volume cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

Readership

Graduate students and research mathematicians interested in frame theory and applications to approximation theory, data science, representation theory, functional and harmonic analysis.

  • Articles
  • Jameson Cahill, Peter G. Casazza, John I. Haas and Janet Tremain — Constructions of biangular tight frames and their relationships with equiangular tight frames
  • Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng, John Haas, Tin T. Tran, Janet C. Tremain and Zhiqiang Xu — Phase retrieval by hyperplanes
  • David Ellis, Eric Hayashi and Shidong Li — Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis
  • Roza Aceska, Jean-Luc Bouchot and Shidong Li — Fusion frames and distributed sparsity
  • Marcin Bownik — The Kadison-Singer problem
  • Anatoly G. Baskakov and Ilya A. Krishtal — Spectral properties of an operator polynomial with coefficients in a Banach algebra
  • Xuemei Chen — The Kaczmarz algorithm, row action methods, and statistical learning algorithms
  • Radu Balan, Maneesh Singh and Dongmian Zou — Lipschitz properties for deep convolutional networks
  • Matthew Begué and Kasso A. Okoudjou — Invertibility of graph translation and support of Laplacian Fiedler vectors
  • Jean-Pierre Gabardo — Weighted convolution inequalities and Beurling density
  • Laura De Carli and Pierluigi Vellucci — $p$-Riesz bases in quasi shift invariant spaces
  • Dorin Ervin Dutkay and Isabelle Kraus — On spectral sets of integers
  • Ian Long — Spectral fractal measures associated to IFS’s consisting of three contraction mappings
  • John E. Herr, Palle E. T. Jorgensen and Eric S. Weber — A matrix characterization of boundary representations of positive matrices in the Hardy space
  • Mutaz Mohammad and En-Bing Lin — Gibbs effects using Daubechies and Coiflet tight framelet systems
  • Yeon Hyang Kim — Conditions on shape preserving of stationary polynomial reproducing subdivision schemes
  • Daniel Alpay, Palle Jorgensen and Izchak Lewkowicz — $W$-Markov measures, transfer operators, wavelets and multiresolutions
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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