The theory of ultraspherical multipliers / W. C. Connett and A. L. Schwartz.

Format:

Book

Author/Creator:

Connett, William C. (William Carroll), 1939- author.

Schwartz, Alan L. (Alan Lee), 1941- author.

Series:

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

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

Language:

English

Subjects (All):

Multipliers (Mathematical analysis).

Spherical functions.

Sobolev spaces.

Besov spaces.

Physical Description:

1 online resource (99 p.)

Edition:

1st ed.

Other Title:

Ultraspherical multipliers.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1977.

Language Note:

English

Contents:

""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""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0866-X