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Geometric applications of Fourier series and 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
[1996]
|
| Colección: | Encyclopedia of mathematics and its applications ;
volume 61. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn861692308 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 131029s1996 enk ob 001 0 eng d | ||
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| 020 | |a 9781107088818 |q (electronic bk.) | ||
| 020 | |a 110708881X |q (electronic bk.) | ||
| 020 | |z 0521473187 | ||
| 020 | |z 9780521473187 | ||
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| 035 | |a (OCoLC)861692308 | ||
| 050 | 4 | |a QA640 |b .G76 1996eb | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515/.2433 |2 22 |
| 084 | |a 31.35 |2 bcl | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Groemer, H. | |
| 245 | 1 | 0 | |a Geometric applications of Fourier series and spherical harmonics / |c H. Groemer. |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c [1996] | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (xi, 329 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 61 | |
| 504 | |a Includes bibliographical references (pages 311-318) and indexes. | ||
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Convex sets. | |
| 650 | 0 | |a Fourier series. | |
| 650 | 0 | |a Spherical harmonics. | |
| 650 | 6 | |a Ensembles convexes. | |
| 650 | 6 | |a Séries de Fourier. | |
| 650 | 6 | |a Harmoniques sphériques. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Convex sets |2 fast | |
| 650 | 7 | |a Fourier series |2 fast | |
| 650 | 7 | |a Spherical harmonics |2 fast | |
| 650 | 1 | 7 | |a Fourier-reeksen. |2 gtt |
| 650 | 1 | 7 | |a Convexe verzamelingen. |2 gtt |
| 650 | 7 | |a Ensembles convexes. |2 ram | |
| 650 | 7 | |a Fourier, Séries de. |2 ram | |
| 650 | 7 | |a Harmoniques sphériques. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Groemer, H. |t Geometric applications of Fourier series and spherical harmonics |z 0521473187 |w (DLC) 95025363 |w (OCoLC)33104737 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v volume 61. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569340 |z Texto completo |
| 938 | |a EBSCOhost |b EBSC |n 569340 | ||
| 994 | |a 92 |b IZTAP | ||