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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| 100 | 1 | |a Arfaoui, Sabrine, |e author. | |
| 245 | 1 | 0 | |a Wavelet analysis on the sphere : |b spheroidal wavelets / |c Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk. |
| 260 | |b De Gruyter |c 2017 | ||
| 264 | 1 | |a Berlin, [Germany] ; |a Boston, [Massachusetts] : |b De Gruyter, |c 2017. | |
| 264 | 4 | |c ℗2017 | |
| 300 | |a 1 online resource (156 pages) : |b illustrations, tables | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a computer |2 rdamedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 540 | |a 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: |u https://creativecommons.org/licenses/by-nc-nd/3.0 |u https://www.degruyter.com/dg/page/open-access-policy | ||
| 520 | |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 | ||
| 546 | |a In English. | ||
| 505 | 0 | 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 |
| 504 | |a Includes bibliographical references. | ||
| 588 | |a Description based on online resource; title from PDF title page (ebrary, viewed April 19, 2017). | ||
| 536 | |a funded by Knowledge Unlatched | ||
| 650 | 0 | |a Wavelets (Mathematics) | |
| 650 | 0 | |a Wavelets (Mathematics) |v Congresses. | |
| 653 | |a Wavelets. | ||
| 653 | |a harmonic analysis. | ||
| 653 | |a special functions. | ||
| 653 | |a spherical harmonics. | ||
| 653 | |a zonal functions. | ||
| 700 | 1 | |a Rezgui, Imen, |e author. | |
| 700 | 1 | |a Mabrouk, Anouar Ben, |e author. | |
| 776 | |z 3-11-048109-X | ||
| 776 | |z 3-11-048188-X | ||
| 710 | 2 | |a Knowledge Unlatched |e funder. |4 fnd |4 http://id.loc.gov/vocabulary/relators/fnd | |
| 906 | |a BOOK | ||
| ADM | |b 2023-02-22 20:23:06 Europe/Vienna |f system |c marc21 |a 2017-04-01 16:55:35 Europe/Vienna |g false | ||
| AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338758190004498&Force_direct=true |Z 5338758190004498 |b Available |8 5338758190004498 | ||
| AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5339659680004498&Force_direct=true |Z 5339659680004498 |b Available |8 5339659680004498 | ||