02972nam 2200613 450 991081190120332120170918215821.01-4704-0866-X(CKB)3360000000464367(EBL)3113441(SSID)ssj0000976588(PQKBManifestationID)11542581(PQKBTitleCode)TC0000976588(PQKBWorkID)11019845(PQKB)10160012(MiAaPQ)EBC3113441(RPAM)347041(PPN)195410661(EXLCZ)99336000000046436720140801h19771977 uy 0engur|n|---|||||txtccrThe theory of ultraspherical multipliers /W. C. Connett and A. L. SchwartzProvidence, Rhode Island :American Mathematical Society,1977.©[1977]1 online resource (99 p.)MEMOIRS of the American Mathematical Society ;Volume 9, Issue 2, Number 183Description based upon print version of record.0-8218-2183-0 Includes bibliographical references.""Table of Contents""; ""Â0. Introduction""; ""I. The interpolation of ""local"" spaces""; ""Â1. Notations and definitions""; ""Â2. Stability under complex interpolation""; ""Â3. Interpolation of multiplier theorems""; ""II. Families of Banach spaces""; ""Â4. Taibelson spaces and spaces of Bessel potentials""; ""Â5. The properties of localizations of spaces of Lipschitz type""; ""Â6. Spaces of sequences""; ""III. The theory of ultraspherical multipliers""; ""Â7. The ultraspherical convolution""; ""Â8. A Littlewood-Paley Theory for ultraspherical series""""Â9. A full range multiplier Theorem for q = 2""""Â10. The interpolation of ultraspherical multiplier theorems""; ""Â11. Some of these results are best possible""; ""IV. Applications to other expansions""; ""Â12. Multiplier theorems for Hankel transforms and spaces of radial functions""; ""Â13. Multipliers for spherical harmonic expansions""; ""Â14. Multipliers for Jacob! expansions""; ""Figures""; ""Table of notation""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 9, Issue 2, Number 183.Multipliers (Mathematical analysis)Spherical functionsSobolev spacesBesov spacesMultipliers (Mathematical analysis)Spherical functions.Sobolev spaces.Besov spaces.510.8Connett William C(William Carroll),1939-60761Schwartz Alan L(Alan Lee),1941-MiAaPQMiAaPQMiAaPQBOOK9910811901203321The theory of ultraspherical multipliers4004152UNINA