Trends in Harmonic Analysis and Its Applications
Published on 30. October 2015
Book
Paperback/Softback
209 pages
978-1-4704-1879-3 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
500 gr
ISBN-13
978-1-4704-1879-3 (9781470418793)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Jens G. Christensen, Colgate University, Hamilton, NY, USA.
Susanna Dann, Vienna University of Technology, Wien, Austria.
Azita Mayeli, Queensborough Community College, CUNY, Bayside, NY, USA.
Gestur Olafsson, Louisiana State University, Baton Rouge, LA, USA.
Susanna Dann, Vienna University of Technology, Wien, Austria.
Azita Mayeli, Queensborough Community College, CUNY, Bayside, NY, USA.
Gestur Olafsson, Louisiana State University, Baton Rouge, LA, USA.
Content
Frame theory: Phase retrieval and norm retrieval by S. Bahmanpour, J. Cahill, P. G. Casazza, J. Jasper, and L. M. Woodland
On Lipschitz inversion of nonlinear redundant representations by R. Balan and D. Zou
Tight and random nonorthogonal fusion frames by J. Cahill, P. G. Casazza, M. Ehler, and S. Li
Decompositions of rational Gabor representations by V. Oussa
Functional analysis and $C^*$-algebras: Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures by S. Bezuglyi and P. E. T. Jorgensen
A survey of amenability theory for direct-limit groups by M. Dawson and G. Olafsson
Explicit construction of equivalence bimodules between noncommutative solenoids by F. Latremoliere and J. A. Packer
Harmonic analysis on manifolds: An application of hypergeometric shift operators to the $\chi$-spherical Fourier transform by V. M. Ho and G. Olafsson
Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups by P. E. T. Jorgensen, S. Pedersen, and F. Tian
Approximations in $L_p$-norms and Besov spaces on compact manifolds by I. Z. Pesenson
On Lipschitz inversion of nonlinear redundant representations by R. Balan and D. Zou
Tight and random nonorthogonal fusion frames by J. Cahill, P. G. Casazza, M. Ehler, and S. Li
Decompositions of rational Gabor representations by V. Oussa
Functional analysis and $C^*$-algebras: Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures by S. Bezuglyi and P. E. T. Jorgensen
A survey of amenability theory for direct-limit groups by M. Dawson and G. Olafsson
Explicit construction of equivalence bimodules between noncommutative solenoids by F. Latremoliere and J. A. Packer
Harmonic analysis on manifolds: An application of hypergeometric shift operators to the $\chi$-spherical Fourier transform by V. M. Ho and G. Olafsson
Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups by P. E. T. Jorgensen, S. Pedersen, and F. Tian
Approximations in $L_p$-norms and Besov spaces on compact manifolds by I. Z. Pesenson