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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis

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Theta Functions (Hardcover) Loot Price: R1,739
Discovery Miles 17 390
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Theta Functions (Hardcover): Jun-Ichi Igusa
Theta Functions (Hardcover): Jun-Ichi Igusa

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Theta Functions (Hardcover)

Jun-Ichi Igusa

Series: Grundlehren der Mathematischen Wissenschaften, 194

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Loot Price R1,739 Discovery Miles 17 390 | Repayment Terms: R162 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Grundlehren der Mathematischen Wissenschaften, 194
Release date: March 1972
First published: 1972
Authors: Jun-Ichi Igusa
Format: Hardcover - Cloth over boards
Pages: 244
ISBN-13: 978-3-540-05699-7
Barcode: 9783540056997
Categories: Promotions
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN: 3-540-05699-8

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