Operator-Related Function Theory and Time-Frequency Analysis The Abe

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory

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Karlheinz Gröchenig Yurii Lyubarskii Kristian Seip Editors

Operator-Related Function Theory and Time-Frequency Analysis The Abel Symposium 2012

ABEL SYMPOSIA Edited by the Norwegian Mathematical Society

More information about this series at http://www.springer.com/series/7462

Participants of the Abel Symposium 2012, Oslo, Norway. Photo taken by Eirik F. Baardsen at the Norwegian Academy of Science and Letters

Karlheinz GrRochenig • Yurii Lyubarskii • Kristian Seip Editors

Operator-Related Function Theory and Time-Frequency Analysis The Abel Symposium 2012

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Editors Karlheinz GrRochenig Faculty of Mathematics University of Vienna Vienna Austria

Yurii Lyubarskii Kristian Seip Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim Norway

ISSN 2193-2808 Abel Symposia ISBN 978-3-319-08556-2 ISBN 978-3-319-08557-9 (eBook) DOI 10.1007/978-3-319-08557-9 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014956015 Mathematics Subject Classification (2010): 35-XX, 42-XX, 47-XX, 94-XX © Springer International Publishing Switzerland 2015 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Foreword

The Niels Henrik Abel Memorial Fund was established by the Norwegian government on January 1,