Softcover ISBN:  9780821816844 
Product Code:  CBMS/34 
List Price:  $29.00 
Individual Price:  $23.20 
eBook ISBN:  9781470423940 
Product Code:  CBMS/34.E 
List Price:  $27.00 
Individual Price:  $21.60 
Softcover ISBN:  9780821816844 
eBook: ISBN:  9781470423940 
Product Code:  CBMS/34.B 
List Price:  $56.00 $42.50 
Softcover ISBN:  9780821816844 
Product Code:  CBMS/34 
List Price:  $29.00 
Individual Price:  $23.20 
eBook ISBN:  9781470423940 
Product Code:  CBMS/34.E 
List Price:  $27.00 
Individual Price:  $21.60 
Softcover ISBN:  9780821816844 
eBook ISBN:  9781470423940 
Product Code:  CBMS/34.B 
List Price:  $56.00 $42.50 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 34; 1977; 96 ppMSC: Primary 14; Secondary 22; 33; 42
This monograph consists of three chapters covering the following topics: Foundations, (1) Bilinear forms and presentations of certain 2step 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 WeilBrezin map, (6) Distinguished subspaces and left action: Jacobi theta functions and the finite Fourier transform, (1) Niltheta functions and Jacobitheta functions, (2) The algebra of the finite Fourier transform; Abelian varieties, niltheta and theta functions, (1) A general construction and algebraic foundations, (2) Niltheta functions associated with a positive definite Hmorphism of an Abelian variety, (3) The relation between niltheta and classical theta functions.
In presenting the material, the author has attempted to lay a careful foundation and has stressed lowdimensional examples and special computations when proving general results by general techniques.
This an expository piece of work, although some of the results are new.
Readership 
Table of Contents

Chapters

I. Foundations

II. Jacobi Theta Functions and the Finite Fourier Transform

III. Abelian Varieties, NilTheta and Theta Functions


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This monograph consists of three chapters covering the following topics: Foundations, (1) Bilinear forms and presentations of certain 2step 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 WeilBrezin map, (6) Distinguished subspaces and left action: Jacobi theta functions and the finite Fourier transform, (1) Niltheta functions and Jacobitheta functions, (2) The algebra of the finite Fourier transform; Abelian varieties, niltheta and theta functions, (1) A general construction and algebraic foundations, (2) Niltheta functions associated with a positive definite Hmorphism of an Abelian variety, (3) The relation between niltheta and classical theta functions.
In presenting the material, the author has attempted to lay a careful foundation and has stressed lowdimensional examples and special computations when proving general results by general techniques.
This an expository piece of work, although some of the results are new.

Chapters

I. Foundations

II. Jacobi Theta Functions and the Finite Fourier Transform

III. Abelian Varieties, NilTheta and Theta Functions