DMCA. Copyrighted Work that you can Claim.
Base have 223 081 books.
Search: 


📙 Representation Theory and Harmonic Analysis on Semisimple Lie Groups by Jr. Paul J. Sally, David A. Vogan — free pdf


This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.

About book:

About file:

  • File size: 2 682 984
  • Format: djvu


Security code:
Download button

Similar books results


Lie Theory: Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems
Lie Theory: Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems free pdf by Erik P. van den Ban (auth.), Jean-Philippe Anker, Bent Orsted (eds.)

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature su...

Representation Theory and Analysis on Homogeneous Spaces: A Conference in Memory of Larry Corwin February 5-7, 1993 Rutgers University
Representation Theory and Analysis on Homogeneous Spaces: A Conference in Memory of Larry Corwin February 5-7, 1993 Rutgers University download pdf by Simon Gindikin, Roe Goodman, Frederick P. Greenleaf (ed.)

Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and $p$-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of...

Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem
Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem pdf free by Werner Müller (auth.)

The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized D...

Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004
Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004 pdf free by Michael Cowling, Edward Frenkel, Masaki Kashiwara, Alain Valette, David A. Vogan Jr, Nolan R. Wallach (auth.), Enrico Casadio Tarabusi, Andrea D'Agnolo, Massimo Picardello (eds.)

Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation...

Harmonic Analysis and Special Functions on Symmetric Spaces
Harmonic Analysis and Special Functions on Symmetric Spaces free pdf by Gerrit Heckman

The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent d...

A Course in Abstract Harmonic Analysis
A Course in Abstract Harmonic Analysis free pdf by Gerald B. Folland

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory crea...

Harmonic analysis on semigroups
Harmonic analysis on semigroups free epub by C. Berg, J. P. R. Christensen, P. Ressel

The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely monotone functions and Hoeffding-type...

Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions pdf free by Christian Berg, Jens Peter Reus Christensen, Paul Ressel (auth.)

The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact...

Calogero-Moser Systems and Representation Theory
Calogero-Moser Systems and Representation Theory free download by Pavel Etingof

Calogero-Moser systems, which were originally discovered by specialists in integrable systems, are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and thei...

Gil Saint-Andre, tome 5
Gil Saint-Andre, tome 5 pdf free by Sylvain Vallee, Jean-Charles Kraehn

grep Pocket Reference
grep Pocket Reference free epub by John Bambenek, Agnieszka Klus

grep Pocket Reference is the first guide devoted to grep, the powerful Unix content-location utility. This handy book is ideal for system administrators, security professionals, developers, and others who want to learn more about grep and take new approac...

Nikon D3000 For Dummies
Nikon D3000 For Dummies pdf free by Julie Adair King

Explore your camera's creative options and learn to get great shots with your dSLR! Congratulations — you've chosen to take greater control over your photos with a dSLR camera! Now get expert advice on making the most of your Nikon D3000. Learn how...

International Handbook of Urban Policy, Volume 2.  Issues in the Developed World
International Handbook of Urban Policy, Volume 2. Issues in the Developed World free epub by H. S. Geyer

This book brings together a range of viewpoints on a range of the burning issues affecting urban sustainability in North America and Europe at the beginning of the 21st century. H.S. Geyer covers a wide range of the urban policy issues that determine the ...

Sport, Culture and the Media (Issues in Cultural and Media Studies)
Sport, Culture and the Media (Issues in Cultural and Media Studies) pdf free by David Charles Rowe

Reviewers’ comments on the first edition “Marks the coming of age of the academic study of media sport.” Media, Culture & Society “The book is extremely well-written – ideal as a student text, yet also at the forefront of innovation.” Interna...

The Class Size Debate: Is Small Better?
The Class Size Debate: Is Small Better? free epub by Peter Blatchford

'This is a very important book which may become a classic. The research study is remarkable in its magnitude, breadth and duration...it is described in a form accessible to practitioners and policy makers' - Professor Jeremy D. Finn, State University of N...

Differential Diagnosis Mnemonics
Differential Diagnosis Mnemonics free pdf by Thomas J. Donnelly MD, Christopher C. Giza MD

This entertaining and highly useful book presents hundreds of easy-to-remember mnemonics as a means of learning and then recalling the differential diagnosis possibilities for a wide range of medical conditions. The text is organized by body system, and e...

Reason, Culture, Religion: The Metaphysics of World Politics
Reason, Culture, Religion: The Metaphysics of World Politics free pdf by Ralph Pettman

In Reason, Culture, Religion, Ralph Pettman calls for wider recognition of, and greater commitment to, the "new" international relations, a discipline much more comprehensive and cosmopolitan than the "old." He first documents the way modernist analysts d...

Loving the Body: Black Religious Studies and the Erotic (Black Religion Womanist Thought Social Justice)
Loving the Body: Black Religious Studies and the Erotic (Black Religion Womanist Thought Social Justice) pdf free by Anthony B. Pinn, Dwight N. Hopkins

In this collection, contributors argue that the Black Church must begin to address the significance of sexuality if it is to actually present liberation as a mode of existence that fully appreciates the body. According to the contributors, the Black Churc...

Apache Kafka: Set up Apache Kafka clusters and develop custom message producers and consumers using practical, hands-on examples
Apache Kafka: Set up Apache Kafka clusters and develop custom message producers and consumers using practical, hands-on examples pdf free by Nishant Garg

Message publishing is a mechanism of connecting heterogeneous applications together with messages that are routed between them, for example by using a message broker like Apache Kafka. Such solutions deal with real-time volumes of information and route it...