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Record Nr. |
UNISA996333149103316 |
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Autore |
Arfaoui Sabrine |
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Titolo |
Wavelet analysis on the sphere : spheroidal wavelets / / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
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℗2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (156 pages) : illustrations, tables |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 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 |
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