Harmonic analysis, in its commutative and noncommutative forms, is currently one of the most important and powerful areas in mathematics. It may be defined broadly as the attempt to decompose functions by superposition of some particularly simple functions, as in the classical theory of Fourier decompositions. Part II: Commutative harmonic analysis D. Arnal, B. Dali, B. Currey, and V. Oussa -- Regularity of abelian linear actions D. Geller and I. Z. Pesenson -- n -widths and approximation theory on . Frobenius Algebras I: Basic Representation Theory By Andrzej Skowronski, Kunio Yamagata; Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions; Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and. As an introduction I can recommand the following two books: Taylor, Michael Eugene. Noncommutative harmonic analysis. No. American Mathematical Soc.,

22 Noncommutative harmonic analysis, Michael E. Taylor 23 Introduction to various aspects of degree theory in Banach spaces, E. H. Rothe 24 Noetherian rings and their applications, Lance W. Small, Editor 25 Asymptotic behavior of dissipative systems, Jack K. Hale 26 Operator theory and arithmetic in . 31 Representation theory and harmonic analysis on semisimple Lie groups, Paul J. Sally, Jr. and David A. Vogan, Jr., Editors 32 An introduction to CR structures, Howard Jacobowitz 33 Spectral theory and analytic geometry over non-Archimedean fields, Vladimir G. Berkovich 34 Inverse source problems, Victor Isakov 35 Algebraic geometry for scientists. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Representation theory and special functions. Ask Question II. Representations of Lie groups and special functions, in "Representation theory and noncommutative harmonic analysis II", ed. A. A. Kirillov. Noncommutative harmonic analysis on SO (3) has been extensively studied and some very accessible treatments of the general theory are available, e.g.. The group SO (2) can be embedded in SO (3) as two-dimensional rotations around the z : Tabea Méndez, Andreas Müller.

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich : Patrick Delorme. Source: Nankai Summer School on Representation Theory and Harmonic Analysis., June Year: Dirac cohomology and its applications in representation theory Author(s): Huang, Jing Song Source: Proceedings of Asian Mathematical Conference, Singapore., July Year: The Scope and History of Commutative and Noncommutative Harmonic Analysis - Ebook written by George W. Mackey. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read The Scope and History of Commutative and Noncommutative Harmonic : George W. Mackey. I got interested in Noncommutative Harmonic Analysis, which involves Lie Group Representation Theory. Part of the power of this theory arises from the ability to understand representations of the group via work on the representations of its Lie algebra. But there is a catch, for infinite-dimensional representations.