| eBook ISBN: | 978-1-4704-2777-1 |
| Product Code: | CONM/650.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-2777-1 |
| Product Code: | CONM/650.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 650; 2015; 209 ppMSC: Primary 22; 32; 42; 46; 41; 43
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications, held March 29–30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD.
It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups.
Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.
ReadershipGraduate students and research mathematicians interested in harmonic analysis, frame theory, and functional analysis.
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Table of Contents
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Frame theory
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Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper and Lindsey M. Woodland — Phase retrieval and norm retrieval
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Radu Balan and Dongmian Zou — On Lipschitz inversion of nonlinear redundant representations
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Jameson Cahill, Peter G. Casazza, Martin Ehler and Shidong Li — Tight and random nonorthogonal fusion frames
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Vignon Oussa — Decompositions of rational Gabor representations
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Functional analysis and $C^*$-algebras
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S. Bezuglyi and Palle E. T. Jorgensen — Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures
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Matthew Dawson and Gestur Ólafsson — A survey of amenability theory for direct-limit groups
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Frédéric Latrémolière and Judith A. Packer — Explicit construction of equivalence bimodules between noncommutative solenoids
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Harmonic analysis on manifolds
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Vivian M. Ho and Gestur Ólafsson — An application of hypergeometric shift operators to the $\chi $-spherical Fourier transform
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Palle E. T. Jorgensen, Steen Pedersen and Feng Tian — Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups
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Isaac Z. Pesenson — Approximations in $L_{p}$-norms and Besov spaces on compact manifolds
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications, held March 29–30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD.
It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups.
Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.
Graduate students and research mathematicians interested in harmonic analysis, frame theory, and functional analysis.
-
Frame theory
-
Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper and Lindsey M. Woodland — Phase retrieval and norm retrieval
-
Radu Balan and Dongmian Zou — On Lipschitz inversion of nonlinear redundant representations
-
Jameson Cahill, Peter G. Casazza, Martin Ehler and Shidong Li — Tight and random nonorthogonal fusion frames
-
Vignon Oussa — Decompositions of rational Gabor representations
-
Functional analysis and $C^*$-algebras
-
S. Bezuglyi and Palle E. T. Jorgensen — Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures
-
Matthew Dawson and Gestur Ólafsson — A survey of amenability theory for direct-limit groups
-
Frédéric Latrémolière and Judith A. Packer — Explicit construction of equivalence bimodules between noncommutative solenoids
-
Harmonic analysis on manifolds
-
Vivian M. Ho and Gestur Ólafsson — An application of hypergeometric shift operators to the $\chi $-spherical Fourier transform
-
Palle E. T. Jorgensen, Steen Pedersen and Feng Tian — Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups
-
Isaac Z. Pesenson — Approximations in $L_{p}$-norms and Besov spaces on compact manifolds
