Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations a

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Table of contents

I've converted this one to wiki, but in the future you should check the "community wiki" box in the lower right hand corner of the input field.

Alain Connes : noncommutative geometry

Of course, specific questions that "have answers" should usually not be community wiki. I especially like Lang: A course in abstract harmonic analysis especially for quasi invariant measures on homogeneous spaces Deitmar-Echterhoff: Principles of Harmonic Analysis especially for the Selberg trace formula, structure of locally abelian groups and the measure theory part Barut and Raczka: The Theory of group representations and applications For Mackey's theory of induced representation Montgomery, Zippin: The book A first course in Harmonic Analysis by Anton Deitmar has the noncommutative setting as one of its goals.

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Special Functions and Their Symmetries

Most Downloaded Articles Frontmatter Masthead Frontmatter Prelims Masthead Geometric and harmonic analysis on homogeneous spaces and applications by Baklouti, Ali and Nomura, Takaaki Geometric and harmonic analysis on homogeneous spaces and applications: Hammamet, December by Baklouti, Ali and Nomura, Takaaki Masthead Masthead Stability and boundedness of solutions of a certain n-dimensional nonlinear delay differential system of third-order by Mahmoud, Ayman M.

Geometric and harmonic analysis on homogeneous spaces and applications: Harmonic boundary value problems in a quarter ring domain [Adv. Volume 8 Issue 4 Oct , pp. Volume 7 Issue 4 Oct , pp.

Publications by Anthony W. Knapp

Volume 6 Issue 4 Oct , pp. The SnOB software library.

Lie groups and invariance. Generators, the exponential map and Lie algebra.

Group theoretical methods in machine learning

Connection to spherical harmonics. Risi Kondor Columbia University.


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  • Asleep in Green.
  • Bibliography.

Preliminary list of topics:. The use of algebraic methods -- specifically group theory, representation theory, and even some concepts from algebraic geometry -- is an emerging new direction in machine learning.

The purpose of this tutorial is to give an entertaining but informative introduction to the background to these developments and sketch some of the many possible applications.