Analysis on the Heisenberg manifold-Reference-Cited by-同舟云学术

Analysis on the Heisenberg manifold

Published:1977 Issue:0 Volume:228 Page:329-343
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Tolimieri Richard

Abstract

A study of the function theory on the Heisenberg manifold in terms of theta functions. Subject to an explicit error, a C ∞ {C^\infty } -function is written as an infinite sum, with theta functions of different degrees and characteristics playing the same role as exponentials do in the abelian theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1977-228-00/S0002-9947-1977-0447473-8/S0002-9947-1977-0447473-8.pdf

Reference5 articles.

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2. Lecture Notes in Mathematics, Vol. 436;Auslander, Louis,1975

3. Function theory on metabelian solvmanifolds;Brezin, J.;J. Functional Analysis,1972

4. Harmonic analysis on nilmanifolds;Brezin, Jonathan;Trans. Amer. Math. Soc.,1970

5. Sur certains groupes d’opérateurs unitaires;Weil, André;Acta Math.,1964

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