1.

Record Nr.

UNINA9910811901203321

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

1-4704-0866-X

Descrizione fisica

1 online resource (99 p.)

Collana

MEMOIRS of the American Mathematical Society ; ; Volume 9, Issue 2, Number 183

Disciplina

510.8

Soggetti

Multipliers (Mathematical analysis)

Spherical functions

Sobolev spaces

Besov spaces

Lingua di pubblicazione

Inglese

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""