Wavelet analysis on the sphere : : spheroidal wavelets / / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk.
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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| Place / Publishing House: | Berlin, [Germany] ;, Boston, [Massachusetts] : : De Gruyter,, 2017. ℗2017 |
| Year of Publication: | 2017 |
| Language: | English |
| Physical Description: | 1 online resource (156 pages) :; illustrations, tables |
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(CKB)3580000000002179 (DE-B1597)467090 (OCoLC)984643018 (DE-B1597)9783110481884 (Au-PeEL)EBL4830577 (CaPaEBR)ebr11369162 (CaONFJC)MIL1003104 (OCoLC)982023385 (ScCtBLL)5655789b-0eda-421f-b84c-917a0885e9eb (MiAaPQ)EBC4830577 (oapen)https://directory.doabooks.org/handle/20.500.12854/62537 (EXLCZ)993580000000002179 |
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Arfaoui, Sabrine, author. Wavelet analysis on the sphere : spheroidal wavelets / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. De Gruyter 2017 Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2017. ℗2017 1 online resource (156 pages) : illustrations, tables text rdacontent computer rdamedia online resource rdacarrier This eBook is made available Open Access. Unless otherwise specified in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy 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 In English. 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 Includes bibliographical references. Description based on online resource; title from PDF title page (ebrary, viewed April 19, 2017). funded by Knowledge Unlatched Wavelets (Mathematics) Wavelets (Mathematics) Congresses. Wavelets. harmonic analysis. special functions. spherical harmonics. zonal functions. Rezgui, Imen, author. Mabrouk, Anouar Ben, author. 3-11-048109-X 3-11-048188-X Knowledge Unlatched funder. fnd http://id.loc.gov/vocabulary/relators/fnd |
| language |
English |
| format |
eBook |
| author |
Arfaoui, Sabrine, Rezgui, Imen, Mabrouk, Anouar Ben, |
| spellingShingle |
Arfaoui, Sabrine, Rezgui, Imen, Mabrouk, Anouar Ben, Wavelet analysis on the sphere : spheroidal wavelets / 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 |
| author_facet |
Arfaoui, Sabrine, Rezgui, Imen, Mabrouk, Anouar Ben, Rezgui, Imen, Mabrouk, Anouar Ben, Knowledge Unlatched Knowledge Unlatched Knowledge Unlatched |
| author_variant |
s a sa i r ir a b m ab abm |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Rezgui, Imen, Mabrouk, Anouar Ben, Knowledge Unlatched Knowledge Unlatched |
| author2_role |
TeilnehmendeR TeilnehmendeR Funder |
| author_corporate |
Knowledge Unlatched |
| author_corporate_role |
Funder |
| author_sort |
Arfaoui, Sabrine, |
| title |
Wavelet analysis on the sphere : spheroidal wavelets / |
| title_sub |
spheroidal wavelets / |
| title_full |
Wavelet analysis on the sphere : spheroidal wavelets / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. |
| title_fullStr |
Wavelet analysis on the sphere : spheroidal wavelets / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. |
| title_full_unstemmed |
Wavelet analysis on the sphere : spheroidal wavelets / Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. |
| title_auth |
Wavelet analysis on the sphere : spheroidal wavelets / |
| 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_new |
Wavelet analysis on the sphere : |
| title_sort |
wavelet analysis on the sphere : spheroidal wavelets / |
| publisher |
De Gruyter De Gruyter, |
| publishDate |
2017 |
| physical |
1 online resource (156 pages) : illustrations, tables |
| 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 |
| isbn |
3-11-048124-3 3-11-048109-X 3-11-048188-X |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA403 |
| callnumber-sort |
QA 3403.3 A743 42017 |
| genre_facet |
Congresses. |
| illustrated |
Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.2433 |
| dewey-sort |
3515.2433 |
| dewey-raw |
515.2433 |
| dewey-search |
515.2433 |
| oclc_num |
984643018 982023385 |
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