Lectures on Constructive Approximation Fourier, Spline, and Wavelet
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical app
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Volker Michel
Lectures on Constructive Approximation Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland College Park, MD, USA
Editorial Advisory Board Akram Aldroubi Vanderbilt University Nashville, TN, USA
Jelena Kovaˇcevi´c Carnegie Mellon University Pittsburgh, PA, USA
Andrea Bertozzi University of California Los Angeles, CA, USA
Gitta Kutyniok Technische Universit¨at Berlin Berlin, Germany
Douglas Cochran Arizona State University Phoenix, AZ, USA
Mauro Maggioni Duke University Durham, NC, USA
Hans G. Feichtinger University of Vienna Vienna, Austria
Zuowei Shen National University of Singapore Singapore, Singapore
Christopher Heil Georgia Institute of Technology Atlanta, GA, USA
Thomas Strohmer University of California Davis, CA, USA
St´ephane Jaffard University of Paris XII Paris, France
Yang Wang Michigan State University East Lansing, MI, USA
For further volumes: http://www.springer.com/series/4968
Volker Michel
Lectures on Constructive Approximation Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
Volker Michel Geomathematics Group Department of Mathematics University of Siegen Siegen, Germany
ISBN 978-0-8176-8402-0 ISBN 978-0-8176-8403-7 (eBook) DOI 10.1007/978-0-8176-8403-7 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012948340 Mathematics Subject Classification (2010): 33C45, 33C50, 33C55, 33F05, 41-01, 41A05, 41A10, 41A15, 41A30, 41A50, 41A52, 41A63, 42A10, 42A15, 42A82, 42A85, 42C05, 42C10, 42C40, 43A90, 65D05, 65D07, 65D20, 65D30, 65D32, 65R32, 65T40, 65T50, 65T60, 86-08, 86A22 © 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 a
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