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Item Details
Title: COMMUTATIVE AND NONCOMMUTATIVE HARMONIC ANALYSIS AND APPLICATIONS
By: Azita Mayeli (Editor), Alex Iosevich (Editor), Palle E. T. Jorgensen (Editor)
Format: Paperback

List price: £71.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0821894935
ISBN 13: 9780821894934
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 November, 2013
Series: Contemporary Mathematics No. 603
Pages: 195
Description: Contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications.
Synopsis: This volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 22-23, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C^*$-algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (over-complete bases) and their practical applications to engineering, cosmology and astrophysics.Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some real-world applications.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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ANALYSIS AND PROBABILITY (PB)
DECAY OF THE FOURIER TRANSFORM (HB)
FOURIER ANALYSIS AND CONVEXITY (HB)
FOURIER ANALYSIS AND CONVEXITY (PB)
FRAME THEORY IN DATA SCIENCE (HB)
FRAMES AND OTHER BASES IN ABSTRACT AND FUNCTION SPACES (HB)
ITERATED FUNCTION SYSTEMS AND PERMUTATION REPRESENTATIONS OF THE CUNTZ ALGEBRA (PB)
ITERATED FUNCTION SYSTEMS, MOMENTS AND TRANSFORMATIONS OF INFINITE MATRICES (PB)
NOVEL METHODS IN HARMONIC ANALYSIS (HB)
OPERATOR THEORY, OPERATOR ALGEBRAS, AND APPLICATIONS (PB)
OPERATORS AND REPRESENTATION THEORY (PB)
OPERATORS AND REPRESENTATION THEORY (PB)
POSITIVE SEMIGROUPS OF OPERATORS AND APPLICATIONS (HB)
RECENT APPLICATIONS OF HARMONIC ANALYSIS TO FUNCTION SPACES, DIFFERENTIAL EQUATIONS, AND DATA SCIENCE (HB)
REPRESENTATION THEORY AND NUMERICAL AF-INVARIANTS (PB)
REPRESENTATIONS, WAVELETS, AND FRAMES (HB)
RUELLE OPERATORS (PB)
THE ERDOS DISTANCE PROBLEM (PB)
TRENDS IN HARMONIC ANALYSIS AND ITS APPLICATIONS (PB)

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