Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold

Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold PDF Author: L. Auslander
Publisher: Springer
ISBN: 3540374051
Category : Mathematics
Languages : en
Pages : 104

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Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold

Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold PDF Author: L. Auslander
Publisher: Springer
ISBN: 3540374051
Category : Mathematics
Languages : en
Pages : 104

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Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold

Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold PDF Author: L. Auslander
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 116

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Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold

Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold PDF Author: L. Auslander
Publisher:
ISBN: 9783662192566
Category :
Languages : en
Pages : 106

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Abelian harmonic analysis, theta functions and function algebras on a nilmanifold

Abelian harmonic analysis, theta functions and function algebras on a nilmanifold PDF Author: Louis Auslander
Publisher:
ISBN:
Category : Functions, Theta
Languages : en
Pages : 98

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Lecture Notes on Nil-Theta Functions

Lecture Notes on Nil-Theta Functions PDF Author: Louis Auslander
Publisher: American Mathematical Soc.
ISBN: 0821816845
Category : Mathematics
Languages : en
Pages : 106

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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.

Non-Commutative Harmonic Analysis

Non-Commutative Harmonic Analysis PDF Author: J. Carmona
Publisher: Springer
ISBN: 3540375244
Category : Mathematics
Languages : en
Pages : 241

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Summaries of Projects Completed in Fiscal Year ...

Summaries of Projects Completed in Fiscal Year ... PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 718

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Summaries of Projects Completed

Summaries of Projects Completed PDF Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 728

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Summaries of Projects Completed in Fiscal Year ...

Summaries of Projects Completed in Fiscal Year ... PDF Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 720

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Theta Functions

Theta Functions PDF Author: Jun-ichi Igusa
Publisher: Springer Science & Business Media
ISBN: 3642653154
Category : Mathematics
Languages : en
Pages : 234

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Book Description
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