02834nam 2200637 450 99633314910331620200520144314.03-11-048124-310.1515/9783110481884(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(EXLCZ)99358000000000217920170419h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierWavelet analysis on the sphere spheroidal wavelets /Sabrine Arfaoui, Imen Rezgui, Anouar Ben MabroukBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.℗20171 online resource (156 pages) illustrations, tables3-11-048109-X 3-11-048188-X Includes bibliographical references.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 -- BibliographyThis 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 applicationsWavelets (Mathematics)Wavelets (Mathematics)CongressesWavelets.harmonic analysis.special functions.spherical harmonics.zonal functions.Wavelets (Mathematics)Wavelets (Mathematics)515.2433Arfaoui Sabrine988309Rezgui ImenMabrouk Anouar BenKnowledge Unlatchedfndhttp://id.loc.gov/vocabulary/relators/fndMiAaPQMiAaPQMiAaPQBOOK996333149103316Wavelet analysis on the sphere2260000UNISA