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Trends in harmonic analysis and its applications / [edited by] Jens G. Christensen...[et al.].

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 650Publication details: Providence : American Mathematical Society, 2015.Description: v, 208 p. : illustrations ; 26 cmISBN:
  • 9781470418793 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Frame Theory: Phase retrieval and norm retrieval / Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper, and Lindsey M. Woodland -- On Lipschitz inversion of nonlinear redundant representations / Radu Balan and Dongmian Zou -- Tight and random nonorthogonal fusion frames / Jameson Cahill, Peter G. Casazza, Martin Ehler, and Shidong Li -- Decompositions of rational Gabor representations / Vignon Oussa -- Functional Analysis and C*-algebras: Representations of Cuntz-Krieger relations, dynamics on Bratteli-diagrams, and path-space measures / Sergey Bezuglyi and Palle E.T. Jorgensen -- A survey of amenability theory for direct-limit groups / Matthew Dawson and Gestur Olafsson -- Explicit construction of equivalence bimodules between noncommutative solenoids / Frederic Latremoli'ere and Judith A. Packer -- Harmonic Analysis on Manifolds: An application of hypergeometric shift operators to the x-spherical Fourier transform / Vivian M. Ho and Gestur Olafsson -- Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups / Palle E.T. Jorgensen, Steen Pedersen, and Feng Tian -- Approximations in Lp-norms and Besov spaces on compact manifolds / Isaac Z. Pesenson.
Summary: 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.
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Includes bibliographical references.

Frame Theory:
Phase retrieval and norm retrieval / Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper, and Lindsey M. Woodland --
On Lipschitz inversion of nonlinear redundant representations / Radu Balan and Dongmian Zou --
Tight and random nonorthogonal fusion frames / Jameson Cahill, Peter G. Casazza, Martin Ehler, and Shidong Li --
Decompositions of rational Gabor representations / Vignon Oussa --
Functional Analysis and C*-algebras:
Representations of Cuntz-Krieger relations, dynamics on Bratteli-diagrams, and path-space measures / Sergey Bezuglyi and Palle E.T. Jorgensen --
A survey of amenability theory for direct-limit groups / Matthew Dawson and Gestur Olafsson --
Explicit construction of equivalence bimodules between noncommutative solenoids / Frederic Latremoli'ere and Judith A. Packer --
Harmonic Analysis on Manifolds:
An application of hypergeometric shift operators to the x-spherical Fourier transform / Vivian M. Ho and Gestur Olafsson --
Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups / Palle E.T. Jorgensen, Steen Pedersen, and Feng Tian --
Approximations in Lp-norms and Besov spaces on compact manifolds / Isaac Z. Pesenson.

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.

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