Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Search Results
Catalogue Card Display
Catalogue Card Display
RAK
Title: Elements of the Representation Theory of the Jacobi Group ([EBook]) / by Rolf Berndt, Ralf Schmidt. Dewey Class: 516.35 Author: Berndt, Rolf., 1940- Edition statement: Reprint of the 1998 edition Added Personal Name: Schmidt, Ralf. author. Publication: Basel : Springer Basel, 1998. Other name(s): SpringerLink (Online service) Physical Details: XIII, 213 pages : online resource. Series: Modern Birkhäuser Classics ISBN: 9783034802833 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary Note: The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and in the global number field case. Via a bridge to Waldspurger's theory for the metaplectic group, complete classification theorems for irreducible representations are obtained. Further topics include differential operators, Whittaker models, Hecke operators, spherical representations and theta functions. The global theory is aimed at the correspondence between automorphic representations and Jacobi forms. This volume is thus a complement to the seminal book on Jacobi forms by M. Eichler and D. Zagier. Incorporating results of the authors' original research, this exposition is meant for researchers and graduate students interested in algebraic groups and number theory, in particular, modular and automorphic forms.The book is very well written and gives an up to date collection of the results known. It will be quite useful for everyone working in the field. (Zentralblatt MATH). This book is certainly recommended for researchers interested in modular and automorphic forms. (Mathematical Reviews) This book complements the book on Jacobi forms by M. Eichler and D. Zagier and includes many of the author's original results. It can be read, however, independently of other sources, and it will be very useful for researchers interested in algebraic groups and number theory. (Mathematica).: Contents note: The Jacobi Group -- Basic Representation Theory of the Jacobi Group -- Local Representations: The Real Case -- The Space L2(?J\GJ (?)) and its Decomposition -- Local Representations: The p-adic Case -- Spherical Representations -- Global Considerations. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
Quick Search
Search for