|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480041603321 |
|
|
Autore |
Connett William C (William Carroll), <1939-> |
|
|
Titolo |
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 1977 |
|
©[1977] |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (99 p.) |
|
|
|
|
|
|
Collana |
|
MEMOIRS of the American Mathematical Society ; ; Volume 9, Issue 2, Number 183 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Multipliers (Mathematical analysis) |
Spherical functions |
Sobolev spaces |
Besov spaces |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""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"" |
|
|
|
|
|
|
|