Reflection Positivity A Representation Theoretic Perspective

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.This book provides the first presentation of the representation t

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Karl-Hermann Neeb · Gestur Ólafsson

Reflection Positivity A Representation Theoretic Perspective

SpringerBriefs in Mathematical Physics Volume 32

Series editors Nathanaël Berestycki, DPMMS, University of Cambridge, Cambridge, Cambridgeshire, UK Mihalis Dafermos, Department of Mathematics, Princeton University, Princeton, NJ, USA Tohru Eguchi, College of Science, Rikkyo University, Toshima-ku, Tokyo, Japan Atsuo Kuniba, Institute of Physics, The University of Tokyo, Meguro-ku, Tokyo, Japan Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, CA, USA Bruno Nachtergaele, Davis, CA, USA

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Karl-Hermann Neeb Gestur Ólafsson •

Reflection Positivity A Representation Theoretic Perspective

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Karl-Hermann Neeb Department Mathematik Universität Erlangen-Nürnberg Erlangen, Germany

Gestur Ólafsson Department of Mathematics Louisiana State University Baton Rouge, LA, USA

ISSN 2197-1757 ISSN 2197-1765 (electronic) SpringerBriefs in Mathematical Physics ISBN 978-3-319-94754-9 ISBN 978-3-319-94755-6 (eBook) https://doi.org/10.1007/978-3-319-94755-6 Library of Congress Control Number: 2018946582 © The Author(s) 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accu