Group Frames
The prototypical example of a tight frame, the Mercedes-Benz frame can be obtained as the orbit of a single vector under the action of the group generated by rotation by \(\frac{2\pi}{3}\) , or the dihedral group of symmetries of the triangle. Many frames
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John J. Benedetto University of Maryland College Park, MD, USA Editorial Advisory Board
Akram Aldroubi
Jelena Kovaˇcevi´c
Vanderbilt University Nashville, TN, USA
Carnegie Mellon University Pittsburgh, PA, USA
Andrea Bertozzi
Gitta Kutyniok
University of California Los Angeles, CA, USA
Technische Universität Berlin Berlin, Germany
Douglas Cochran
Mauro Maggioni
Arizona State University Phoenix, AZ, USA
Duke University Durham, NC, USA
Hans G. Feichtinger
Zuowei Shen
University of Vienna Vienna, Austria
National University of Singapore Singapore, Singapore
Christopher Heil
Thomas Strohmer
Georgia Institute of Technology Atlanta, GA, USA
University of California Davis, CA, USA
Stéphane Jaffard
Yang Wang
University of Paris XII Paris, France
Michigan State University East Lansing, MI, USA
For further volumes: www.springer.com/series/4968
Peter G. Casazza r Gitta Kutyniok Editors
Finite Frames Theory and Applications
Editors Peter G. Casazza Department of Mathematics University of Missouri Columbia, MO, USA
Gitta Kutyniok Institut für Mathematik Technische Universität Berlin Berlin, Germany
ISBN 978-0-8176-8372-6 ISBN 978-0-8176-8373-3 (eBook) DOI 10.1007/978-0-8176-8373-3 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012948835 Mathematics Subject Classification (2010): 41A63, 42C15, 47A05, 94A12, 94A20 © Springer Science+Business Media New York 2013 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.
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