Geometric applications of Fourier series and spherical harmonics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York
Cambridge University Press
[1996]
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 61 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Description based on print version record |
| Beschreibung: | 1 online resource (xi, 329 pages) |
| ISBN: | 0521473187 110708881X 9780521473187 9781107088818 |
Internformat
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| 100 | 1 | |a Groemer, H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometric applications of Fourier series and spherical harmonics |c H. Groemer |
| 264 | 1 | |a Cambridge ; New York |b Cambridge University Press |c [1996] | |
| 264 | 4 | |c © 1996 | |
| 300 | |a 1 online resource (xi, 329 pages) | ||
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| 505 | 8 | |a 1. Analytic Preparations -- 2. Geometric Preparations -- 3. Fourier Series and Spherical Harmonics -- 4. Geometric Applications of Fourier Series -- 5. Geometric Applications of Spherical Harmonics | |
| 505 | 8 | |a This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians | |
| 650 | 7 | |a Ensembles convexes |2 ram | |
| 650 | 7 | |a Fourier, Séries de |2 ram | |
| 650 | 7 | |a Harmoniques sphériques |2 ram | |
| 650 | 7 | |a Fourier-reeksen |2 gtt | |
| 650 | 7 | |a Convexe verzamelingen |2 gtt | |
| 650 | 4 | |a Ensembles convexes | |
| 650 | 4 | |a Fourier, Séries de | |
| 650 | 4 | |a Harmoniques sphériques | |
| 650 | 7 | |a Convex sets |2 fast | |
| 650 | 7 | |a Fourier series |2 fast | |
| 650 | 7 | |a Spherical harmonics |2 fast | |
| 650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 4 | |a Convex sets | |
| 650 | 4 | |a Fourier series | |
| 650 | 4 | |a Spherical harmonics | |
| 650 | 0 | 7 | |a Konvexer Körper |0 (DE-588)4165214-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804175393670823936 |
|---|---|
| any_adam_object | |
| author | Groemer, H. |
| author_facet | Groemer, H. |
| author_role | aut |
| author_sort | Groemer, H. |
| author_variant | h g hg |
| building | Verbundindex |
| bvnumber | BV043034652 |
| collection | ZDB-4-EBA |
| contents | 1. Analytic Preparations -- 2. Geometric Preparations -- 3. Fourier Series and Spherical Harmonics -- 4. Geometric Applications of Fourier Series -- 5. Geometric Applications of Spherical Harmonics This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians |
| ctrlnum | (OCoLC)861692308 (DE-599)BVBBV043034652 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043034652 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:35Z |
| institution | BVB |
| isbn | 0521473187 110708881X 9780521473187 9781107088818 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028459302 |
| oclc_num | 861692308 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (xi, 329 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Groemer, H. Verfasser aut Geometric applications of Fourier series and spherical harmonics H. Groemer Cambridge ; New York Cambridge University Press [1996] © 1996 1 online resource (xi, 329 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 61 Description based on print version record 1. Analytic Preparations -- 2. Geometric Preparations -- 3. Fourier Series and Spherical Harmonics -- 4. Geometric Applications of Fourier Series -- 5. Geometric Applications of Spherical Harmonics This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians Ensembles convexes ram Fourier, Séries de ram Harmoniques sphériques ram Fourier-reeksen gtt Convexe verzamelingen gtt Ensembles convexes Fourier, Séries de Harmoniques sphériques Convex sets fast Fourier series fast Spherical harmonics fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Convex sets Fourier series Spherical harmonics Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 s Fourier-Reihe (DE-588)4155109-6 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Groemer, H . Geometric applications of Fourier series and spherical harmonics http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569340 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Groemer, H. Geometric applications of Fourier series and spherical harmonics 1. Analytic Preparations -- 2. Geometric Preparations -- 3. Fourier Series and Spherical Harmonics -- 4. Geometric Applications of Fourier Series -- 5. Geometric Applications of Spherical Harmonics This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians Ensembles convexes ram Fourier, Séries de ram Harmoniques sphériques ram Fourier-reeksen gtt Convexe verzamelingen gtt Ensembles convexes Fourier, Séries de Harmoniques sphériques Convex sets fast Fourier series fast Spherical harmonics fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Convex sets Fourier series Spherical harmonics Konvexer Körper (DE-588)4165214-9 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4023453-8 (DE-588)4155109-6 |
| title | Geometric applications of Fourier series and spherical harmonics |
| title_auth | Geometric applications of Fourier series and spherical harmonics |
| title_exact_search | Geometric applications of Fourier series and spherical harmonics |
| title_full | Geometric applications of Fourier series and spherical harmonics H. Groemer |
| title_fullStr | Geometric applications of Fourier series and spherical harmonics H. Groemer |
| title_full_unstemmed | Geometric applications of Fourier series and spherical harmonics H. Groemer |
| title_short | Geometric applications of Fourier series and spherical harmonics |
| title_sort | geometric applications of fourier series and spherical harmonics |
| topic | Ensembles convexes ram Fourier, Séries de ram Harmoniques sphériques ram Fourier-reeksen gtt Convexe verzamelingen gtt Ensembles convexes Fourier, Séries de Harmoniques sphériques Convex sets fast Fourier series fast Spherical harmonics fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Convex sets Fourier series Spherical harmonics Konvexer Körper (DE-588)4165214-9 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Ensembles convexes Fourier, Séries de Harmoniques sphériques Fourier-reeksen Convexe verzamelingen Convex sets Fourier series Spherical harmonics MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Konvexer Körper Harmonische Analyse Fourier-Reihe |
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| work_keys_str_mv | AT groemerh geometricapplicationsoffourierseriesandsphericalharmonics |