Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed i
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Johannes Sjöstrand
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Pseudo-Differential Operators Theory and Applications Vol. 14 Managing Editor M. W. Wong (York University, Canada)
Associate Editors Luigi G. Rodino (Università di Torino, Italy) Bert-Wolfgang Schulze (Universität Potsdam, Germany) Johannes Sjöstrand (Université de Bourgogne, Dijon, France) Sundaram Thangavelu (Indian Institute of Science at Bangalore, India) Maciej Zworski (University of California at Berkeley, USA)
Pseudo-Differential Operators: Theory and Applications is a series of moderately priced graduate-level textbooks and monographs appealing to students and experts alike. Pseudo-differential operators are understood in a very broad sense and include such topics as harmonic analysis, PDE, geometry, mathematical physics, microlocal analysis, time-frequency analysis, imaging and computations. Modern trends and novel applications in mathematics, natural sciences, medicine, scientific computing, and engineering are highlighted. More information about this series at http://www.springer.com/series/7390
Johannes Sjöstrand
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Johannes Sjöstrand Université de Bourgogne Franche-Comté Dijon, France
ISSN 2297-0355 ISSN 2297-0363 (electronic) Pseudo-Differential Operators ISBN 978-3-030-10818-2 ISBN 978-3-030-10819-9 (eBook) https://doi.org/10.1007/978-3-030-10819-9 Mathematics Subject Classification (2010): 30C15, 35P20, 81Q12 © Springer Nature Switzerland AG 2019 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 accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Abstract
The main purpose of this monogr
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