LEADER 02972nam 2200613 450 001 9910811901203321 005 20170918215821.0 010 $a1-4704-0866-X 035 $a(CKB)3360000000464367 035 $a(EBL)3113441 035 $a(SSID)ssj0000976588 035 $a(PQKBManifestationID)11542581 035 $a(PQKBTitleCode)TC0000976588 035 $a(PQKBWorkID)11019845 035 $a(PQKB)10160012 035 $a(MiAaPQ)EBC3113441 035 $a(RPAM)347041 035 $a(PPN)195410661 035 $a(EXLCZ)993360000000464367 100 $a20140801h19771977 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe theory of ultraspherical multipliers /$fW. C. Connett and A. L. Schwartz 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1977. 210 4$dİ[1977] 215 $a1 online resource (99 p.) 225 1 $aMEMOIRS of the American Mathematical Society ;$vVolume 9, Issue 2, Number 183 300 $aDescription based upon print version of record. 311 $a0-8218-2183-0 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""A?0. Introduction""; ""I. The interpolation of ""local"" spaces""; ""A?1. Notations and definitions""; ""A?2. Stability under complex interpolation""; ""A?3. Interpolation of multiplier theorems""; ""II. Families of Banach spaces""; ""A?4. Taibelson spaces and spaces of Bessel potentials""; ""A?5. The properties of localizations of spaces of Lipschitz type""; ""A?6. Spaces of sequences""; ""III. The theory of ultraspherical multipliers""; ""A?7. The ultraspherical convolution""; ""A?8. A Littlewood-Paley Theory for ultraspherical series"" 327 $a""A?9. A full range multiplier Theorem for q = 2""""A?10. The interpolation of ultraspherical multiplier theorems""; ""A?11. Some of these results are best possible""; ""IV. Applications to other expansions""; ""A?12. Multiplier theorems for Hankel transforms and spaces of radial functions""; ""A?13. Multipliers for spherical harmonic expansions""; ""A?14. Multipliers for Jacob! expansions""; ""Figures""; ""Table of notation""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 9, Issue 2, Number 183. 606 $aMultipliers (Mathematical analysis) 606 $aSpherical functions 606 $aSobolev spaces 606 $aBesov spaces 615 0$aMultipliers (Mathematical analysis) 615 0$aSpherical functions. 615 0$aSobolev spaces. 615 0$aBesov spaces. 676 $a510.8 700 $aConnett$b William C$g(William Carroll),$f1939-$060761 702 $aSchwartz$b Alan L$g(Alan Lee),$f1941- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811901203321 996 $aThe theory of ultraspherical multipliers$94004152 997 $aUNINA