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Synopsis
This monograph consists of three chapters covering the following topics: Foundations, (1) Bilinear forms and presentations of certain 2-step nilpotent Lie groups, (2) Discrete subgroups of the Heisenberg group, (3) The automorphism group of the Heisenberg group, (4) Fundamental unitary representations of the Heisenberg group, (5) The Fourier transform and the Weil-Brezin map, (6) Distinguished subspaces and left action: Jacobi theta functions and the finite Fourier transform, (1) Nil-theta functions and Jacobi-theta functions, (2) The algebra of the finite Fourier transform; Abelian varieties, nil-theta and theta functions, (1) A general construction and algebraic foundations, (2) Nil-theta functions associated with a positive definite H-morphism of an Abelian variety, (3) The relation between nil-theta and classical theta functions. In presenting the material, the author has attempted to lay a careful foundation and has stressed low-dimensional examples and special computations when proving general results by general techniques. This an expository piece of work, although some of the results are new.
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Lecture Notes on Nil-theta Functions
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Lecture Notes on Niltheta Functions
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Amer Mathematical Society, 1984
ISBN 10: 0821816845
ISBN 13: 9780821816844
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Lecture Notes on Nil-theta Functions
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American Mathematical Society, 1977
ISBN 10: 0821816845
ISBN 13: 9780821816844
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Lecture Notes on Nil-Theta Functions (CBMS Regional Conference Series in Mathematics)
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American Mathematical Society, 1977
ISBN 10: 0821816845
ISBN 13: 9780821816844
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Condition: New. 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. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 96 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. . . 1977. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821816844
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Lecture notes on nil-theta functions. Regional conference series in mathematics 34; Regional Conference Series in Mathematics 34.
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Providence, American Mathematical Society, 1977
ISBN 10: 0821816845
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Softcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 22 AUS 9780821816844 Sprache: Englisch Gewicht in Gramm: 250. Seller Inventory # 2506277
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Lecture Notes on Nil-Theta Functions (CBMS Regional Conference Series in Mathematics)
Published by
American Mathematical Society, 1977
ISBN 10: 0821816845
ISBN 13: 9780821816844
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Condition: New. 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. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 96 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. . . 1977. Paperback. . . . . Seller Inventory # V9780821816844
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Lecture Notes on Nil-theta Functions
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American Mathematical Society, US, 1977
ISBN 10: 0821816845
ISBN 13: 9780821816844
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Paperback. Condition: New. This monograph 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, The Fourier transform and the Weil-Brezin map, Distinguished subspaces and left action: Jacobi theta functions and the finite Fourier transform, Nil-theta functions and Jacobi-theta functions, and the algebra of the finite Fourier transform; Abelian varieties, nil-theta and theta functions.It includes: a general construction and algebraic foundations, Nil-theta functions associated with a positive definite H-morphism of an Abelian variety, and the relation between nil-theta and classical theta functions. In presenting the material, the author has attempted to lay a careful foundation and has stressed low-dimensional examples and special computations when proving general results by general techniques. This an expository piece of work, although some of the results are new. Seller Inventory # LU-9780821816844
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