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In the study of the theory of irreducible unitary representations, is necessary to analyze and demonstrate diverse results on integral orbital of functions belonging to the cohomology Hi (g, K; V V *), and that it is wanted they belong to the L2(G)-cohomology of their reducible unitary representations called discrete series. Then is necessary consider the Frèchet space I(G), and analyze the 2-integrability to the fibers of the space G/K, in spaces or locally compact components of G/K. For it will be useful the invariance of the corresponding measures of Haar under the actions of Ad(G), and the. | ORBITAL INTEGRALS ON REDUCTIVE LIE GROUPS AND THEIR ALGEBRAS by Francisco Bulnes INTECHOPEN.COM Orbital Integrals on Reductive Lie Groups and Their Algebras http dx.doi.org 10.5772 56023 by Francisco Bulnes Published by InTech Janeza Trdine 9 51000 Rijeka Croatia Copyright 2013 InTech All chapters are Open Access distributed under the Creative Commons Attribution 3.0 license which allows users to download copy and build upon published articles even for commercial purposes as long as the author and publisher are properly credited which ensures maximum dissemination and a wider impact of our publications. After this work has been published by InTech authors have the right to republish it in whole or part in any publication of which they are the author and to make other personal use of the work. Any republication referencing or personal use of the work must explicitly identify the original source. Notice Statements and opinions expressed in the chapters are these of the individual contributors and not necessarily those of the editors or publisher. No responsibility is accepted for the accuracy of information contained in the published chapters. The publisher assumes no responsibility for any damage or injury to persons or property arising out of the use of any materials instructions methods or ideas contained in the book. Publishing Process Manager Danijela Duric Typesetting www.pantype.com Cover InTech Design Team First published March 2013 Printed in Croatia A free online edition of this book is available at www.intechopen.com Additional hard copies can be obtained from orders@intechopen.com Orbital Integrals on Reductive Lie Groups and Their Algebras by Francisco Bulnes p. cm. ISBN 978-953-51-1007-1 INTECH open science I open minds free online editions of InTech Books and Journals can be found at WWW. i ntechopen .
