Abstract Harmonic Analysis of Continuous Wavelet Transforms (Record no. 29322)

000 -LEADER
fixed length control field 02534nam a22004815i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540315520
-- 978-3-540-31552-0
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.785
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Führ, Hartmut.
245 10 - TITLE STATEMENT
Title Abstract Harmonic Analysis of Continuous Wavelet Transforms
Statement of responsibility, etc by Hartmut Führ.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 2005.
300 ## - PHYSICAL DESCRIPTION
Number of Pages X, 193 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- Wavelet Transforms and Group Representations -- The Plancherel Transform for Locally Compact Groups -- Plancherel Inversion and Wavelet Transforms -- Admissible Vectors for Group Extension -- Sampling Theorems for the Heisenberg Group -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Harmonic analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Fourier analysis.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Abstract Harmonic Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Fourier Analysis.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/b104912
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2005.
336 ## -
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-- txt
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337 ## -
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK28 http://dx.doi.org/10.1007/b104912 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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