LEADER 02834nam 2200637 450 001 996333149103316 005 20200520144314.0 010 $a3-11-048124-3 024 7 $a10.1515/9783110481884 035 $a(CKB)3580000000002179 035 $a(DE-B1597)467090 035 $a(OCoLC)984643018 035 $a(DE-B1597)9783110481884 035 $a(Au-PeEL)EBL4830577 035 $a(CaPaEBR)ebr11369162 035 $a(CaONFJC)MIL1003104 035 $a(OCoLC)982023385 035 $a(ScCtBLL)5655789b-0eda-421f-b84c-917a0885e9eb 035 $a(MiAaPQ)EBC4830577 035 $a(EXLCZ)993580000000002179 100 $a20170419h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aWavelet analysis on the sphere $espheroidal wavelets /$fSabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$d?2017 215 $a1 online resource (156 pages) $cillustrations, tables 311 $a3-11-048109-X 311 $a3-11-048188-X 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tContents -- $tList of Figures -- $tList of Tables -- $tPreface -- $t1. Introduction -- $t2. Review of orthogonal polynomials -- $t3. Homogenous polynomials and spherical harmonics -- $t4. Review of special functions -- $t5. Spheroidal-type wavelets -- $t6. Some applications -- $tBibliography 330 $aThis 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 606 $aWavelets (Mathematics) 606 $aWavelets (Mathematics)$vCongresses 610 $aWavelets. 610 $aharmonic analysis. 610 $aspecial functions. 610 $aspherical harmonics. 610 $azonal functions. 615 0$aWavelets (Mathematics) 615 0$aWavelets (Mathematics) 676 $a515.2433 700 $aArfaoui$b Sabrine$0988309 702 $aRezgui$b Imen 702 $aMabrouk$b Anouar Ben 712 02$aKnowledge Unlatched$4fnd$4http://id.loc.gov/vocabulary/relators/fnd 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996333149103316 996 $aWavelet analysis on the sphere$92260000 997 $aUNISA