文档介绍:Lecture Notes in Mathematics 1863
Editors:
J.--, Cachan
F. Takens, Groningen
B. Teissier, Paris
Hartmut Fuhr¨
Abstract Harmonic
Analysis of Continuous
Wavelet Transforms
123
Author
Hartmut Fuhr¨
Institute of Biomathematics and Biometry
GSF - National Research Center for
Environment and Health
Ingolstadter¨ Landstrasse 1
85764 Neuherberg
Germany
e-mail: ******@
LibraryofCongressControlNumber:2004117184
Mathematics Subject Classification (2000): 43A30; 42C40; 43A80
ISSN 0075-8434
ISBN 3-540-24259-7 Springer Berlin Heidelberg New York
DOI:
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,
reproductiononmicrofilmorinanyotherway,
orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9, 1965,
in its current version, and permission for use must always be obtained from Springer. Violations are liable
for prosecution under the German Copyright Law.
Springer is a part of Springer Science + Business Media
c Springer-Verlag Berlin Heidelberg 2005
PrintedinGermany
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 TEXoutputbytheauthors
41/3142/du - 543210 - Printed on acid-free paper
Preface
This volume discusses a construction situated at the intersection of two differ-
ent mathematical fields: Abstract harmonic analysis, understood as the theory
of group representations and their position into irreducibles on the one
hand, and wavelet (and related) transforms on the other. In a sense the volume
reexamines one of the roots of wa