Representation Theory And Harmonic Analysis On Symmetric Spaces
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Representation Theory and Harmonic Analysis on Symmetric Spaces
Author: Jens Gerlach Christensen
language: en
Publisher: American Mathematical Soc.
Release Date: 2018-08-27
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.
Harmonic Analysis on Commutative Spaces
Author: Joseph Albert Wolf
language: en
Publisher: American Mathematical Soc.
Release Date: 2007
This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.
Lie Theory
Author: Jean-Philippe Anker
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-01-04
* Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology * Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required