Abelian Harmonic Analysis Theta Functions And Functional Algebras On A Nilmanifold
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Abelian Harmonic Analysis Theta Functions and Functional Algebras on a Nilmanifold
Author | : L. Auslander,R. Tolimieri |
Publsiher | : Springer |
Total Pages | : 104 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540374053 |
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Abelian Harmonic Analysis Theta Functions and Functional Algebras on a Nilmanifold
Author | : L. Auslander,R. Tolimieri |
Publsiher | : Lecture Notes in Mathematics |
Total Pages | : 116 |
Release | : 1975-01-29 |
Genre | : Mathematics |
ISBN | : STANFORD:36105031579985 |
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Abelian Harmonic Analysis Theta Functions and Functional Algebras on a Nilmanifold
Author | : L. Auslander,R. Tolimieri |
Publsiher | : Unknown |
Total Pages | : 106 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 366219256X |
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Abelian harmonic analysis theta functions and function algebras on a nilmanifold
Author | : Louis Auslander,Richard Tolimieri |
Publsiher | : Unknown |
Total Pages | : 98 |
Release | : 1975 |
Genre | : Functions, Theta |
ISBN | : OCLC:150482538 |
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Lecture Notes on Nil Theta Functions
Author | : Louis Auslander |
Publsiher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : 9780821816844 |
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Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.
Abelian Varieties Theta Functions and the Fourier Transform
Author | : Alexander Polishchuk |
Publsiher | : Cambridge University Press |
Total Pages | : 308 |
Release | : 2003-04-21 |
Genre | : Mathematics |
ISBN | : 9780521808040 |
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Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Theta Functions
Author | : Jun-ichi Igusa |
Publsiher | : Springer Science & Business Media |
Total Pages | : 234 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642653155 |
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The theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by ("Sources" [9]). We shall restrict ourselves to postwar, i. e., after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for them. These are contained in Conforto: Abelsche Funktionen und algebraische Geometrie, Springer (1956); Siegel: Analytic functions of several complex variables, Lect. Notes, I.A.S. (1948/49); Well: Theoremes fondamentaux de la theorie des fonctions theta, Sem. Bourbaki, No. 16 (1949). The complete account of Weil's method appeared in his book of 1958 [20]. The next important achievement was the theory of compacti fication of the quotient variety of Siegel's upper-half space by a modular group. There are many ways to compactify the quotient variety; we are talking about what might be called a standard compactification. Such a compactification was obtained first as a Hausdorff space by I. Satake in "On the compactification of the Siegel space", J. Ind. Math. Soc. 20, 259-281 (1956), and as a normal projective variety by W.L. Baily in 1958 [1]. In 1957/58, H. Cartan took up this theory in his seminar [3]; it was shown that the graded ring of modular forms relative to the given modular group is a normal integral domain which is finitely generated over C
Non Commutative Harmonic Analysis
Author | : J. Carmona,J. Dixmier,M. Vergne |
Publsiher | : Springer |
Total Pages | : 241 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540375241 |
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