Spherical Functions of Mathematical Geosciences A Scalar, Vectorial,
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Willi Freeden · Michael Schreiner
Spherical Functions of Mathematical Geosciences A Scalar, Vectorial, and Tensorial Setup
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Prof. Dr. Willi Freeden TU Kaiserslautern Geomathematics Group Erwin – Schr¨odinger – Strasse 67653 Kaiserslautern Germany [email protected]
ISBN: 978-3-540-85111-0
Prof. Dr. Michael Schreiner University of Buchs NTB Laboratory for Industrial Mathematics Werdenbergstrasse 4 9471 Buchs Switzerland [email protected]
e-ISBN: 978-3-540-85112-7
Advances in Geophysical and Environmental Mechanics and Mathematics ISSN: 1866-8348 e-ISSN: 1866-8356 Library of Congress Control Number: 2008933568 c Springer-Verlag Berlin Heidelberg 2009 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Typesetting: Camera-ready by the Authors Cover Design: deblik, Berlin Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com
This book is dedicated to the memory of Prof. Dr. Claus M¨ uller, RWTH Aachen, who died on February 6, 2008.
About the Authors Willi Freeden Willi Freeden was born in 1948 in Kaldenkirchen/Germany, Studies in Mathematics, Geography, and Philosophy at the RWTH Aachen, 1971 ‘Diplom’ in Mathematics, 1972 ‘Staatsexamen’ in Mathematics and Geography, 1975 PhD in Mathematics, 1979 ‘Habilitation’ in Mathematics, 1981/1982 Visiting Research Professor at the Ohio State University, Columbus (Department of Geodetic Science and Surveying), 1984 Professor of Mathematics at the RWTH Aachen (Institute of Pure and Applied Mathematics), 1989 Professor of Technomathematics (Industrial Mathematics), 1994 Head of the Geomathematics Group, 2002–2006 Vice-President for Research and Technology at the University of Kaiserslautern.
Michael Schreiner Michael Schreiner was born in 1966 in Mertesheim/Germany, Studies in Industrial Mathematics, Mechanical Engineering, and Computer Science at the University of Kaiserslautern, 1991 ‘Diplom’ in Industrial Mathematics, 1994 PhD in Mathematics, 2004 ‘Habilitation’ in Mathematics, 1997– 2001 researcher and project leader at the Hilti Corp. Schaan, Liechtenstein, 2002 Professor for Industrial Mathematics at the University of Buchs NTB, Buchs, Switzerland, 2004 Head of the Department of Mathematics of the University of Buchs, 2004 also Lecturer at the Universit