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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| Format: | Elektronisch E-Book |
| Sprache: | English |
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (156) |
| ISBN: | 3110481243 311048188X 9783110481242 9783110481884 |
| Zugangseinschränkungen: | Open Access |
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| 505 | 8 | 0 | |t Frontmatter -- |t Contents -- |t List of Figures -- |t List of Tables -- |t Preface -- |t 1. Introduction -- |t 2. Review of orthogonal polynomials -- |t 3. Homogenous polynomials and spherical harmonics -- |t 4. Review of special functions -- |t 5. Spheroidal-type wavelets -- |t 6. Some applications -- |t Bibliography |
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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 | |
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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 |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV048278896 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:00:48Z |
| indexdate | 2024-07-10T09:34:00Z |
| institution | BVB |
| isbn | 3110481243 311048188X 9783110481242 9783110481884 |
| language | English |
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| spelling | Arfaoui, Sabrine Verfasser aut Wavelet Analysis on the Sphere Berlin/Boston, UNITED STATES De Gruyter 2017 1 Online-Ressource (156) txt rdacontent c rdamedia cr rdacarrier 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 Open Access EbpS 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 Ondelettes MATHEMATICS Calculus MATHEMATICS Mathematical Analysis Wavelets (Mathematics) Wavelet-Analyse (DE-588)4760859-6 gnd rswk-swf Electronic books Wavelet-Analyse (DE-588)4760859-6 s DE-604 Erscheint auch als Druck-Ausgabe Arfaoui, Sabrine Wavelet Analysis on the Sphere : Spheroidal Wavelets Berlin/Boston : De Gruyter, ©2017 9783110481099 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1497099 Verlag kostenfrei Volltext |
| 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_exact_search_txtP | 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 |
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