NSF-CBMS Regional Conference in the Mathematical Sciences: Uncertainty Principles in Harmonic Analysis: Gap and Type Problems, held at Clemson University, Clemson, South Carolina, August 12–16, 2013. Partially supported by the National Science Foundation 2010 Mathematics Subject Classification. Primary 30-XX, 33-XX, 34-XX, 42-XX. For additional information and updates on this book, visit www.ams.org/bookpages/cbms-121 Library of Congress Cataloging-in-Publication Data Poltoratski, Alexei, 1966– Toeplitz approach to problems of the uncertainty principle / Alexei Poltoratski. pages cm. (CBMS regional conference series in mathematics number 121) “Partially supported by the National Science Foundation.” Based on the NSF-CBMS Regional Conference in the Mathematical Sciences on Uncertainty Principles in Harmonic Analysis: Gap and Type Problems, held at Clemson University, Clemson, South Carolina, August 12–16, 2013. Includes bibliographical references. ISBN 978-1-4704-2017-8 (alk. paper) 1. Heisenberg uncertainty principle—Congresses. 2. Functional analysis—Congresses. 3. Toeplitz, Otto, 1881–1940. I. National Science Foundation (U.S.) II. Title. QC174.17.H4P65 2015 530.12—dc23 2014043343 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are handled by Copyright Clearance Center’s RightsLink service. For more information, please visit: http://www.ams.org/rightslink. Send requests for translation rights and licensed reprints to reprint-permission@ams.org. Excluded from these provisions is material for which the author holds copyright. In such cases, requests for permission to reuse or reprint material should be addressed directly to the author(s). Copyright ownership is indicated on the copyright page, or on the lower right-hand corner of the first page of each article within proceedings volumes. c 2015 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 20 19 18 17 16 15
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