Harmonic and applied analysis: from groups to signals
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Basel]
Birkhäuser
[2015]
|
| Schriftenreihe: | Applied and numerical harmonic analysis
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XV, 258 Seiten, 13 illus., 11 illus. in color) |
| ISBN: | 9783319188638 |
| ISSN: | 2296-5009 |
| DOI: | 10.1007/978-3-319-18863-8 |
Internformat
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| 245 | 1 | 0 | |a Harmonic and applied analysis |b from groups to signals |c Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, editors |
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| 490 | 0 | |a Applied and numerical harmonic analysis |x 2296-5009 | |
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| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Topological groups | |
| 650 | 4 | |a Lie groups | |
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| 650 | 4 | |a Fourier analysis | |
| 650 | 4 | |a Abstract Harmonic Analysis | |
| 650 | 4 | |a Fourier Analysis | |
| 650 | 4 | |a Group Theory and Generalizations | |
| 650 | 4 | |a Topological Groups, Lie Groups | |
| 650 | 4 | |a Signal, Image and Speech Processing | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| _version_ | 1804175709265985536 |
|---|---|
| adam_text | HARMONIC AND APPLIED ANALYSIS
/
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FROM GROUP REPRESENTATIONS TO SIGNAL ANALYSIS
THE USE OF REPRESENTATIONS IN APPLIED HARMONIC ANALYSIS
SHEARLET COORBIT THEORY
EFFICIENT ANALYSIS AND DETECTION OF EDGES THROUGH DIRECTIONAL MULTISCALE
REPRESENTATIONS
OPTIMALLY SPARSE DATA REPRESENTATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
HARMONIC AND APPLIED ANALYSIS
/
: 2015
ABSTRACT / INHALTSTEXT
THIS CONTRIBUTED VOLUME EXPLORES THE CONNECTION BETWEEN THE THEORETICAL
ASPECTS OF HARMONIC ANALYSIS AND THE CONSTRUCTION OF ADVANCED MULTISCALE
REPRESENTATIONS THAT HAVE EMERGED IN SIGNAL AND IMAGE PROCESSING. IT
HIGHLIGHTS SOME OF THE MOST PROMISING MATHEMATICAL DEVELOPMENTS IN
HARMONIC ANALYSIS IN THE LAST DECADE BROUGHT ABOUT BY THE INTERPLAY
AMONG DIFFERENT AREAS OF ABSTRACT AND APPLIED MATHEMATICS. THIS
INTERTWINING OF IDEAS IS CONSIDERED STARTING FROM THE THEORY OF UNITARY
GROUP REPRESENTATIONS AND LEADING TO THE CONSTRUCTION OF VERY EFFICIENT
SCHEMES FOR THE ANALYSIS OF MULTIDIMENSIONAL DATA. AFTER AN INTRODUCTORY
CHAPTER SURVEYING THE SCIENTIFIC SIGNIFICANCE OF CLASSICAL AND MORE
ADVANCED MULTISCALE METHODS, CHAPTERS COVER SUCH TOPICS AS AN OVERVIEW
OF LIE THEORY FOCUSED ON COMMON APPLICATIONS IN SIGNAL ANALYSIS,
INCLUDING THE WAVELET REPRESENTATION OF THE AFFINE GROUP, THE
SCHROEDINGER REPRESENTATION OF THE HEISENBERG GROUP, AND THE METAPLECTIC
REPRESENTATION OF THE SYMPLECTIC GROUP AN INTRODUCTION TO COORBIT THEORY
AND HOW IT CAN BE COMBINED WITH THE SHEARLET TRANSFORM TO ESTABLISH
SHEARLET COORBIT SPACES MICROLOCAL PROPERTIES OF THE SHEARLET TRANSFORM
AND ITS ABILITY TO PROVIDE A PRECISE GEOMETRIC CHARACTERIZATION OF EDGES
AND INTERFACE BOUNDARIES IN IMAGES AND OTHER MULTIDIMENSIONAL DATA
MATHEMATICAL TECHNIQUES TO CONSTRUCT OPTIMAL DATA REPRESENTATIONS FOR A
NUMBER OF SIGNAL TYPES, WITH A FOCUS ON THE OPTIMAL APPROXIMATION OF
FUNCTIONS GOVERNED BY ANISOTROPIC SINGULARITIES. A UNIFIED NOTATION IS
USED ACROSS ALL OF THE CHAPTERS TO ENSURE CONSISTENCY OF THE
MATHEMATICAL MATERIAL PRESENTED. HARMONIC AND APPLIED ANALYSIS: FROM
GROUPS TO SIGNALS IS AIMED AT GRADUATE STUDENTS AND RESEARCHERS IN THE
AREAS OF HARMONIC ANALYSIS AND APPLIED MATHEMATICS, AS WELL AS AT OTHER
APPLIED SCIENTISTS INTERESTED IN REPRESENTATIONS OF MULTIDIMENSIONAL
DATA. IT CAN ALSO BE USED AS A TEXTBOOK FOR GRADUATE COURSES IN APPLIED
HARMONIC ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-full | 515.785 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | DE-604.BV043209793 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:36Z |
| institution | BVB |
| isbn | 9783319188638 |
| issn | 2296-5009 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632954 |
| oclc_num | 944058633 |
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| spelling | Harmonic and applied analysis from groups to signals Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, editors [Basel] Birkhäuser [2015] © 2015 1 Online Ressource (XV, 258 Seiten, 13 illus., 11 illus. in color) txt rdacontent c rdamedia cr rdacarrier Applied and numerical harmonic analysis 2296-5009 Mathematics Group theory Topological groups Lie groups Harmonic analysis Fourier analysis Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Signal, Image and Speech Processing Mathematik Dahlke, Stephan 1959- (DE-588)1054793662 edt Erscheint auch als Druckausgabe 978-3-319-18862-1 https://doi.org/10.1007/978-3-319-18863-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632954&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Harmonic and applied analysis from groups to signals Mathematics Group theory Topological groups Lie groups Harmonic analysis Fourier analysis Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Signal, Image and Speech Processing Mathematik |
| title | Harmonic and applied analysis from groups to signals |
| title_auth | Harmonic and applied analysis from groups to signals |
| title_exact_search | Harmonic and applied analysis from groups to signals |
| title_full | Harmonic and applied analysis from groups to signals Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, editors |
| title_fullStr | Harmonic and applied analysis from groups to signals Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, editors |
| title_full_unstemmed | Harmonic and applied analysis from groups to signals Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, editors |
| title_short | Harmonic and applied analysis |
| title_sort | harmonic and applied analysis from groups to signals |
| title_sub | from groups to signals |
| topic | Mathematics Group theory Topological groups Lie groups Harmonic analysis Fourier analysis Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Signal, Image and Speech Processing Mathematik |
| topic_facet | Mathematics Group theory Topological groups Lie groups Harmonic analysis Fourier analysis Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Signal, Image and Speech Processing Mathematik |
| url | https://doi.org/10.1007/978-3-319-18863-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632954&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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