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Analysis on h-Harmonics and Dunkl Transforms
As a unique case in this Advanced Courses book series, the authors have jointly written this introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant we...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Advanced Courses in Mathematics - CRM Barcelona,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0887-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220116103007.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150121s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783034808873 |9 978-3-0348-0887-3 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0887-3 |2 doi | |
| 050 | 4 | |a QA221-224 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 511.4 |2 23 |
| 100 | 1 | |a Dai, Feng. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Analysis on h-Harmonics and Dunkl Transforms |h [electronic resource] / |c by Feng Dai, Yuan Xu ; edited by Sergey Tikhonov. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2015. | |
| 300 | |a VIII, 118 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 505 | 0 | |a Preface -- Spherical harmonics and Fourier transform -- Dunkl operators associated with reflection groups -- h-Harmonics and analysis on the sphere -- Littlewood-Paley theory and the multiplier theorem -- Sharp Jackson and sharp Marchaud inequalities -- Dunkl transform -- Multiplier theorems for the Dunkl transform -- Bibliography. | |
| 520 | |a As a unique case in this Advanced Courses book series, the authors have jointly written this introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The theory, originally introduced by C. Dunkl, has been expanded on by many authors over the last 20 years. These notes provide an overview of what has been developed so far. The first chapter gives a brief recount of the basics of ordinary spherical harmonics and the Fourier transform. The Dunkl operators, the intertwining operators between partial derivatives and the Dunkl operators are introduced and discussed in the second chapter. The next three chapters are devoted to analysis on the sphere, and the final two chapters to the Dunkl transform. The authors' focus is on the analysis side of both h-harmonics and Dunkl transforms. The need for background knowledge on reflection groups is kept to a bare minimum. | ||
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Abstract Harmonic Analysis. |
| 650 | 2 | 4 | |a Integral Transforms and Operational Calculus. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Xu, Yuan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Tikhonov, Sergey. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034808880 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034808866 |
| 830 | 0 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0887-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||