Wavelet Analysis on the Sphere

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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520 3 |a 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 
650 4 |a Ondelettes 
650 7 |a MATHEMATICS  |2 Calculus 
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Datensatz im Suchindex

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author Arfaoui, Sabrine
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contents Frontmatter --
Contents --
List of Figures --
List of Tables --
Preface --
1. Introduction --
2. Review of orthogonal polynomials --
3. Homogenous polynomials and spherical harmonics --
4. Review of special functions --
5. Spheroidal-type wavelets --
6. Some applications --
Bibliography
ctrlnum (OCoLC)980846743
(DE-599)BVBBV048278896
discipline Mathematik
format Electronic
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record_format marc
spellingShingle Arfaoui, Sabrine
Wavelet Analysis on the Sphere
Frontmatter --
Contents --
List of Figures --
List of Tables --
Preface --
1. Introduction --
2. Review of orthogonal polynomials --
3. Homogenous polynomials and spherical harmonics --
4. Review of special functions --
5. Spheroidal-type wavelets --
6. Some applications --
Bibliography
Ondelettes
MATHEMATICS Calculus
MATHEMATICS Mathematical Analysis
Wavelets (Mathematics)
Wavelet-Analyse (DE-588)4760859-6 gnd
subject_GND (DE-588)4760859-6
title Wavelet Analysis on the Sphere
title_alt Frontmatter --
Contents --
List of Figures --
List of Tables --
Preface --
1. Introduction --
2. Review of orthogonal polynomials --
3. Homogenous polynomials and spherical harmonics --
4. Review of special functions --
5. Spheroidal-type wavelets --
6. Some applications --
Bibliography
title_auth Wavelet Analysis on the Sphere
title_exact_search Wavelet Analysis on the Sphere
title_full Wavelet Analysis on the Sphere
title_fullStr Wavelet Analysis on the Sphere
title_full_unstemmed Wavelet Analysis on the Sphere
title_short Wavelet Analysis on the Sphere
title_sort wavelet analysis on the sphere
topic Ondelettes
MATHEMATICS Calculus
MATHEMATICS Mathematical Analysis
Wavelets (Mathematics)
Wavelet-Analyse (DE-588)4760859-6 gnd
topic_facet Ondelettes
MATHEMATICS
Wavelets (Mathematics)
Wavelet-Analyse
url https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1497099
work_keys_str_mv AT arfaouisabrine waveletanalysisonthesphere