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A Bridge Between Lie Theory and Frame Theory: Applications of Lie Theory to Harmonic Analysis - Couverture rigide

Oussa, Vignon

 
9781119712138: A Bridge Between Lie Theory and Frame Theory: Applications of Lie Theory to Harmonic Analysis
Couverture rigide
ISBN 10 : 1119712130 ISBN 13 : 9781119712138
Editeur : John Wiley & Sons Inc, 2025

Synopsis

"Frame construction is currently a very active area of research, and a book that provides a systematic introduction of the Lie theoretic tools for such an endeavor, together with thorough demonstrations how these tools can be employed, is in my view a very timely project." Duffin and Schaeffer developed frame theory in the fifties as a tool to solve problems in non-harmonic Fourier series. The search for redundant and flexible basis-like reproducing systems for signal analysis led to the rediscovery of frames in the early eighties. The foundational work of Daubechies, Meyer, Grossman, and others highlighted the influential role that frames play in studying signal analysis through wavelet theory and time-frequency analysis. Frame theory is a branch of harmonic analysis that has now blossomed into a dynamic and active field, drawing its strengths from a wide range of areas such as representation theory, and Lie theory. The proposed book is concerned with the discretization problem of representations of Lie groups, which can be formulated as follows. Given a representation of a Lie group, under which conditions is it possible to sample one of its orbits for the construction of frames with prescribed properties? This book aims to give a systematic, coherent, and detailed treatment of the mathematics encountered in searching for a satisfactory solution to the discretization problem."--

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Vignon Oussa, PhD, is Professor of Mathematics at Bridgewater State University in Bridgewater, MA, USA. Dr. Oussa received his PhD in Mathematics from Saint Louis University. His areas of specialty are harmonic analysis, Lie theory, and representation theory. He is the winner of the 2014-2015 Bridgewater State University Distinguished Faculty Research Award.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
John Wiley & Sons Inc
Date d'édition
2025
Langue
anglais
ISBN 10 
1119712130
ISBN 13 
9781119712138
Reliure
Relié
Nombre de pages
384
Coordonnées du fabricant
Easy Access System Europe Oü, 16879218
gpsr.requests@easproject.com

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