Overview

Main subject of this monograph is the study of automorphic distributions, and of the operators associated with such distributions under the Weyl rule of symbolic calculus. The concept of quantization pervades the whole book: an entirely new approach to composition formulas, in general, is needed, and the main lines of some new program in this direction are indicated.

Full Product Details

Author:   André Unterberger
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2003 ed.
Volume:   209
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   1.200kg
ISBN:  

9783764369095

ISBN 10:   3764369094
Pages:   246
Publication Date:   11 December 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

Table of Contents

1 Introduction.- 1 Automorphic Distributions and the Weyl Calculus.- 2 he Weyl calculus, the upper half-plane, and automorphic distributions.- 3 Eisenstein distributions, Dirac’s comb and Bezout’s distribution.- 4 The structure of automorphic distributions.- 5 The main formula: a heuristic approach.- 2 A Higher-level Weyl Calculus of Operators.- 6 A tamer version of the Weyl calculus: the horocyclic calculus.- 7 The higher-level metaplectic representations.- 8 The radial parts of relativistic wave operators.- 9 The higher-level Weyl calculi.- 10 Can one compose two automorphic operators?.- 11 The sharp product of two power-functions: the Weyl case.- 12 Beyond the symplectic group.- 3 The Sharp Composition of Automorphic Distributions.- 13 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the continuous part.- 14 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the discrete part.- 15 A proof of the main formula.- 16 Towards the completion of the multiplication table.- 4 Further Perspectives.- 17 Another way to compose Weyl symbols.- 18 Odd automorphic distributions and modular forms of non-zero weight.- 19 New perspectives and problems in quantization theory.- Index of Notation.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions