Isbn: 9783034802826 - elements of the representation theory of the jacobi group (16 risultati)

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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).…

Taschenbuch. Condizione: Neu. Elements of the Representation Theory of the Jacobi Group | Rolf Berndt (u. a.) | Taschenbuch | Modern Birkhäuser Classics | xiii | Englisch | 2012 | Birkhäuser | EAN 9783034802826 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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) 228 pp. Englisch.…

Condizione: New. Print on Demand pp. 228 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Very well written monograph combining algebraic groups and number theory Recommended reading for researchers of modular and automorphic forms Up to date and structured collection of known resultsRolf Berndt is a Professor of Math.…

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The Jacobi Group.- Basic Representation Theory of the Jacobi Group.- Local Representations: The Real Case.- The Space L2( JGJ ( )) and its Decomposition.- Local Representations: The p-adic Case.- Spherical Representations.- Global Considerations.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 228 pp. Englisch.…