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Record Nr. |
UNINA9910811901203321 |
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Autore |
Connett William C (William Carroll), <1939-> |
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Titolo |
The theory of ultraspherical multipliers / / W. C. Connett and A. L. Schwartz |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1977 |
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©[1977] |
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ISBN |
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Descrizione fisica |
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1 online resource (99 p.) |
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Collana |
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MEMOIRS of the American Mathematical Society ; ; Volume 9, Issue 2, Number 183 |
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Disciplina |
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Soggetti |
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Multipliers (Mathematical analysis) |
Spherical functions |
Sobolev spaces |
Besov spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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