Wavelet Analysis on the Sphere : Spheroidal Wavelets /

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This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet ba...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arfaoui, Sabrine
Otros Autores: Ben Mabrouk, Anouar, Rezgui, Imen
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Temas:
Wavelets (Mathematics)
Ondelettes.
MATHEMATICS / Mathematical Analysis.
(Produktform)Electronic book text
(Zielgruppe)Fachpublikum/ Wissenschaft
(BISAC Subject Heading)MAT034000
(BISAC Subject Heading)MAT003000: MAT003000 MATHEMATICS / Applied
(BISAC Subject Heading)MAT031000: MAT031000 MATHEMATICS / Transformations
Wavelets; harmonic analysis; spherical harmonics; special functions; zonal functions
(VLB-WN)9620
Wavelets
harmonic analysis
special functions
spherical harmonics
zonal functions
(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke
Acceso en línea:Texto completo
Descripción
Sumario:This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials. ContentsReview of orthogonal polynomialsHomogenous polynomials and spherical harmonicsReview of special functionsSpheroidal-type wavelets Some applicationsSome applications.
Descripción Física:1 online resource (156 pages)
Bibliografía:Includes bibliographical references.
ISBN:9783110481884
311048188X
9783110481242
3110481243
9783110481099
311048109X

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