Prolate spheroidal wave functions of order zero: mathematical tools for bandlimited approximation
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA [u.a.]
Springer
2013
|
| Schriftenreihe: | Applied mathematical sciences
187 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461482581 9781461482598 |
| DOI: | 10.1007/978-1-4614-8259-8 |
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Datensatz im Suchindex
| _version_ | 1804151617898938368 |
|---|---|
| adam_text | PROLATE SPHEROIDAL WAVE FUNCTIONS OF ORDER ZERO
/ OSIPOV, ANDREI
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
MATHEMATICAL AND NUMERICAL PRELIMINARIES
OVERVIEW.-ANALYSIS OF THE DIFFERENTIAL OPERATOR.-ANALYSIS OF THE
INTEGRAL OPERATOR.-RATIONAL APPROXIMATIONS OF PSWFS.-MISCELLANEOUS
PROPERTIES OF PSWFS.-ASYMPTOTIC ANALYSIS OF PSWFS.-QUADRATURE
RULES AND INTERPOLATION VIA PSWFS.-NUMERICAL ALGORITHMS .-
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PROLATE SPHEROIDAL WAVE FUNCTIONS OF ORDER ZERO
/ OSIPOV, ANDREI
: 2013
ABSTRACT / INHALTSTEXT
PROLATE SPHEROIDAL WAVE FUNCTIONS (PSWFS) ARE THE EIGENFUNCTIONS OF THE
BANDLIMITED OPERATOR IN ONE DIMENSION. AS SUCH, THEY PLAY AN IMPORTANT
ROLE IN SIGNAL PROCESSING, FOURIER ANALYSIS, AND APPROXIMATION THEORY.
WHILE HISTORICALLY THE NUMERICAL EVALUATION OF PSWFS PRESENTED SERIOUS
DIFFICULTIES, THE DEVELOPMENTS OF THE LAST FIFTEEN YEARS OR SO MADE THEM
AS COMPUTATIONALLY TRACTABLE AS ANY OTHER CLASS OF SPECIAL FUNCTIONS. AS
A RESULT, PSWFS HAVE BEEN BECOMING A POPULAR COMPUTATIONAL TOOL. THE
PRESENT BOOK SERVES AS A COMPLETE, SELF-CONTAINED RESOURCE FOR BOTH
THEORY AND COMPUTATION. IT WILL BE OF INTEREST TO A WIDE RANGE OF
SCIENTISTS AND ENGINEERS, FROM MATHEMATICIANS INTERESTED IN PSWF AS AN
ANALYTICAL TOOL TO ELECTRICAL ENGINEERS DESIGNING FILTERS AND ANTENNAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Osipov, Andrei Rokhlin, Vladimir 1952- Xiao, Hong |
| author_GND | (DE-588)1044691174 (DE-588)1044135808 (DE-588)1044135840 |
| author_facet | Osipov, Andrei Rokhlin, Vladimir 1952- Xiao, Hong |
| author_role | aut aut aut |
| author_sort | Osipov, Andrei |
| author_variant | a o ao v r vr h x hx |
| building | Verbundindex |
| bvnumber | BV041477289 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)862528276 (DE-599)DNB1042889481 |
| dewey-full | 910 |
| dewey-hundreds | 900 - History & geography |
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| dewey-raw | 910 |
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| discipline | Mathematik Geographie |
| doi_str_mv | 10.1007/978-1-4614-8259-8 |
| format | Electronic eBook |
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| spelling | Osipov, Andrei Verfasser (DE-588)1044691174 aut Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation Boston, MA [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 187 Wellenfunktion (DE-588)4189547-2 gnd rswk-swf Sphäroidfunktion (DE-588)4182234-1 gnd rswk-swf Sphäroidfunktion (DE-588)4182234-1 s Wellenfunktion (DE-588)4189547-2 s 1\p DE-604 Rokhlin, Vladimir 1952- Verfasser (DE-588)1044135808 aut Xiao, Hong Verfasser (DE-588)1044135840 aut Applied mathematical sciences 187 (DE-604)BV040244599 187 https://doi.org/10.1007/978-1-4614-8259-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923323&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=026923323&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Osipov, Andrei Rokhlin, Vladimir 1952- Xiao, Hong Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation Applied mathematical sciences Wellenfunktion (DE-588)4189547-2 gnd Sphäroidfunktion (DE-588)4182234-1 gnd |
| subject_GND | (DE-588)4189547-2 (DE-588)4182234-1 |
| title | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_auth | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_exact_search | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_full | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_fullStr | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_full_unstemmed | Prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_short | Prolate spheroidal wave functions of order zero |
| title_sort | prolate spheroidal wave functions of order zero mathematical tools for bandlimited approximation |
| title_sub | mathematical tools for bandlimited approximation |
| topic | Wellenfunktion (DE-588)4189547-2 gnd Sphäroidfunktion (DE-588)4182234-1 gnd |
| topic_facet | Wellenfunktion Sphäroidfunktion |
| url | https://doi.org/10.1007/978-1-4614-8259-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026923323&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=026923323&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040244599 |
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