Verfügbarkeit: Multivariate affine frames

Multivariate affine frames:

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Bibliographische Detailangaben
1. Verfasser:	Stöckler, Joachim (VerfasserIn)
Format:	Buch
Sprache:	German
Veröffentlicht:	Aachen Shaker 1998
Ausgabe:	Als Ms. gedr.
Schriftenreihe:	Berichte aus der Mathematik
Schlagworte:	Laurent-Operator Hilbert-Raum Wavelet Frame > Mathematik Hochschulschrift
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Zugl.: Duisburg, Univ., Habil.-Schr., 1996
Beschreibung:	VIII, 130 S. graph. Darst.
ISBN:	3826543238

Internformat

MARC


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Datensatz im Suchindex

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adam_text	IMAGE 1 BERICHTE AUS DER MATHEMATIK JOACHIM STOECKLER MULTIVARIATE AFFINE FRAMES SHAKER VERLAG AACHEN 1998 T IMAGE 2 TABLE OF CONTENTS INTRODUCTION 1 1. NOTATIONS AND PREPARATORY RESULTS 7 1.1. NOTATIONS 7 1.2. GEOMETRICAL PROPERTIES OF SCALING MATRICES 8 1.3. INTEGER MATRICES AND ALGEBRAIC PROPERTIES 11 1.4. OPERATORS ON VECTOR-VALUED FUNCTIONS 12 1.5. GENERALIZED LAURENT OPERATORS 14 2. AFFINE FRAMES 21 2.1. GENERAL DEFINITION AND PROPERTIES OF FRAMES 21 2.2. AFFINE FRAMES AND THE FRAME OPERATOR 25 2.3. ESTIMATES FOR THE FRAME BOUNDS 29 2.4. ADMISSIBILITY CONDITION AND CONVERGENCE TO THE SEMI-DISCRETE WAVELET TRANSFORM 36 3. A GENERALIZED LAURENT OPERATOR AND UPPER FRAME BOUNDS 43 3.1. DEFINING THE LAURENT OPERATOR 43 3.2. SUFRCIENT CONDITIONS FOR AN UPPER FRAME BOUND 47 3.3. COMPARISON WITH OTHER SUFFICIENT CONDITIONS 57 4. MULTIVARIATE BI-ORTHOGONAL WAVELETS 61 4.1. THE CONSTRUCTION FROM MULTIRESOLUTION ANALYSIS 61 4.2. DECOMPOSITION AND RECONSTRUCTION ALGORITHM 69 4.3. EXAMPLES OF BI-ORTHOGONAL WAVELET BASES 74 IMAGE 3 VIII TABLE OF CONTENTS 5. OVERSAMPLING OF BI-ORTHOGONAL WAVELET BASES 77 5.1. DEFINING THE SPECIAL LAURENT OPERATORS 77 5.2. OPERATOR BOUNDS 84 5.3. STRONG CONVERGENCE 88 5.4. PRECONDITIONING OF THE LAURENT OPERATOR 91 5.4.1. DIAGONAL SCALING 92 5.4.2. PARTIAL CHOLESKY DECOMPOSITION 95 5.5. SOLUTION OF THE FRAME REPRESENTATION PROBLEM 102 5.6. NUMERICAL EXAMPLES 108 6. FROM BESSEL SEQUENCES TO FRAMES BY OVERSAMPLING 111 6.1. TRANSFORMATION BY AN INVERTIBLE MULTIPLICATION OPERATOR 112 6.2. RELEASING THE INVERTIBILITY CONDITION 114 REFERENCES 125
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author	Stöckler, Joachim
author_facet	Stöckler, Joachim
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illustrated	Illustrated
indexdate	2024-07-09T18:23:17Z
institution	BVB
isbn	3826543238
language	German
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physical	VIII, 130 S. graph. Darst.
publishDate	1998
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publisher	Shaker
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series2	Berichte aus der Mathematik
spelling	Stöckler, Joachim Verfasser aut Multivariate affine frames Joachim Stöckler Als Ms. gedr. Aachen Shaker 1998 VIII, 130 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Duisburg, Univ., Habil.-Schr., 1996 Laurent-Operator (DE-588)4528313-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Frame Mathematik (DE-588)4528312-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Frame Mathematik (DE-588)4528312-6 s Hilbert-Raum (DE-588)4159850-7 s Wavelet (DE-588)4215427-3 s Laurent-Operator (DE-588)4528313-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008259525&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Stöckler, Joachim Multivariate affine frames Laurent-Operator (DE-588)4528313-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd Wavelet (DE-588)4215427-3 gnd Frame Mathematik (DE-588)4528312-6 gnd
subject_GND	(DE-588)4528313-8 (DE-588)4159850-7 (DE-588)4215427-3 (DE-588)4528312-6 (DE-588)4113937-9
title	Multivariate affine frames
title_auth	Multivariate affine frames
title_exact_search	Multivariate affine frames
title_full	Multivariate affine frames Joachim Stöckler
title_fullStr	Multivariate affine frames Joachim Stöckler
title_full_unstemmed	Multivariate affine frames Joachim Stöckler
title_short	Multivariate affine frames
title_sort	multivariate affine frames
topic	Laurent-Operator (DE-588)4528313-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd Wavelet (DE-588)4215427-3 gnd Frame Mathematik (DE-588)4528312-6 gnd
topic_facet	Laurent-Operator Hilbert-Raum Wavelet Frame Mathematik Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008259525&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT stocklerjoachim multivariateaffineframes

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