7 edition of Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London Mathematical Society Lecture Note Series) found in the catalog.
June 28, 1991
by Cambridge University Press
Written in English
|The Physical Object|
|Number of Pages||161|
Alessandro Figà-Talamanca and Claudio Nebbia, Harmonic analysis and representation theory for groups acting on homogeneous trees, London Mathematical Society Lecture Note Series, vol. , Cambridge University Press, Cambridge, MR Highest-weight classification of irreducibles for unitary groups U(n) Finite-dimensional representations of matrix groups SL 2 (R) and SL 2 (C) and their Lie algebras sl 2 (R) and sl 2 (C) Quantum harmonic oscillator, oscillator/Segal-Shale-Weil representation of the Lie algebra sl 2 (R) Weyl character formula for unitary groups U(n).
Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees (London Mathematical Society Lecture Note Series, ). Cambridge University Press, Cambridge, [Gar97] Garrett, P. This book is aimed at readers with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups. Helpful Appendixes develop aspects of differential geometry, Lie.
The reader is also referred to the papers [CS, MS1, MS2,Se1,Se2] for various related aspects of harmonic analysis on homogeneous trees. The spherical functions are the radial eigenfunctions of . Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms. In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term "harmonics.
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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London Mathematical Society Lecture Note Series Book ) - Kindle edition by Figá-Talamanca, Alessandro, Nebbia, Claudio. Download it once and read it on your Kindle device, PC, phones or tablets.
Use features like bookmarks, note taking and highlighting while reading Harmonic Analysis and Representation Price: $ The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups.
This will be an excellent companion for all researchers into harmonic analysis or representation by: Harmonic analysis and representation theory for groups acting on homogenous trees | Alessandro Figá-Talamanca, Claudio Nebbia | download | B–OK. Download books for free.
Find books. Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees Alessandro Figa-Talamanca Department of Mathematics, University of Rome "La Sapienza" and Claudio Nebbia Department of Mathematics, University of Rome "La Sapienza" The right am University 1.
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London Mathematical Society Lecture Note Series) Cambridge University Press, Paperback. 8vo - over 7. Good. Item # ISBN: Square Tight interior, save for small p/o signature to top of front end paper.
Very mild edge wear. of isometries: the action of this group gives rise to convolutions and harmonic anal-ysis. So, the rst research line is aimed to study harmonic analysis on trees and representation theory of their group of automorphisms via a geometric approach.
More than 35 years ago the P.I., jointly with A. Figa’-Talamanca, investigated. Harmonic Analysis on Classical Groups, Representation Theory, Geometry on Homogeneous Spaces, Combinatorics, Computational Biology. Jimmie Lawson: Lie Semigroup Theory, Geometry on Symmetric Spaces of Nonpositive Curvature, Geometric Control Theory on Lie Groups and Coset Spaces.
Gestur Olafsson. The main thrust of 20th century harmonic analysis has been to develop harmonic analysis on many non-abelian groups, such as matrix groups or Lie groups, in terms of their representations. But to carry out such a program it was necessary to expand the concept of representation to continuous homomorphisms into the group of unitary operators on.
with the harmonic analysis for automorphism groups for locally ﬁnite, homogeneous trees, the treatment of this topic is fairly detailed. The purpose is to familiarize the reader with the geometry of the tree and the reasoning applied in the area and to make the thesis as self-contained as possible.
The answer to (1) is that the domain of the Fourier transform, denoted by F, is a set of functions on a group G. Now in order for the Fourier transform to be useful, it should behave well with respect to convolution (denoted fg) on the set of functions on G, which. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector bundles, and Bott's index theorem for such : Nolan R.
Wallach. Seminar on Representation Theory of Solvable Groups and Harmonic Analysis on Solvmanifolds (Chairman, L. Auslander) Harmonic analysis on trees the American Mathematical Society which was devoted to the topic Harmonic Analysis on Homogeneous Spaces. The Institute was held at Williams College.
Harmonic analysis and representation theory for groups acting on homogenous trees. By Alessandro Figá-Talamanca and Claudio Nebbia. Abstract. These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. of the present paper is to study explicitly the 'spherical harmonic analysis' of groups acting on A.
In two recent papers, [2, 3], the groups F were described which act simply transitivel "V.y o Wn e shall be particularly interested in the harmonic analysis of these groups.
Some, but not all, such F can be embedded in PGL(3, F) for some F. Graphs and trees -- The free group as a tree -- Automorphisms of a tree -- The group of automorphisms Aut (I) -- compact maximal subgroups -- Discrete subgroups -- Cayley graphs which are trees -- Amenable subgroups -- Orbits of amenable subgroups -- Groups with transitive action on the boundary -- Notes and remarks -- Chapter 2.
Abstract: This article is an expository paper. We first survey developments over the past three decades in the theory of harmonic analysis on reductive symmetric spaces.
Next we deal with the particular homogeneous space of non-reductive type, the so called Siegel-Jacobi space that is important arithmetically and geometrically. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.
Get this from a library. Harmonic analysis and representation theory for groups acting on homogeneous trees. [Alessandro Figà-Talamanca; Claudio Nebbia] -- These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree.
The unitary irreducible representations are classified in three types: a continuous. Harmonic Analysis and Representation Theory for Groups Acting on Homogeneous Trees.
By A. FIGA'-TALAMANCA and NEBBIA C. Abstract. London mathematical Society Lecture Notes Serie Publisher: Cambridge University Press. Year: OAI identifier: oai: Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London Mathematical Society Lecture Note Series Book ) (English Edition) eBook: Figá-Talamanca, Alessandro, Nebbia, Claudio: : Kindle StoreFormat: Formato Kindle.
A. Figà-Talamanca, C. Nebbia, Harmonic Analysis and representation theory for groups acting on homogeneous trees, London Math. Soc. Lecture Note SeriesCambridge University Press, zbMATH CrossRef Google Scholar.Based on you wanting to understand the representation theoretic version, Deitmar is a good call.
Assuming you mean his Principles of harmonic analysis, that emerged as my favourite when I was learning it. I also liked Folland's book (Introduction to harmonic analysis, or something similar) and Terry Tao's online notes on the Peter--Weyl theorem.Harmonic analysis and representation theory for groups acting on homogeneous trees () Invariant theory and tableaux () Representation theory and automorphic functions ().