Automorphic pseudodifferential analysis and higher level Weyl calculi /
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| Author / Creator: | Unterberger, André. |
|---|---|
| Imprint: | Basel ; Boston : Birkhäuser Verlag, c2003. |
| Description: | 246 p. ; 24 cm. |
| Language: | English |
| Series: | Progress in mathematics ; v. 209 Progress in mathematics (Boston, Mass.) ; v. 209. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4885210 |
Table of Contents:
- 1. Automorphic Distributions and the Weyl Calculus
- The Weyl calculus, the upper half-plane, and automorphic distributions
- Eisenstein distributions, Dirac's comb and Bezout's distributions
- The structure of automorphic distributions
- The main formula: a heuristic approach
- 2. A Higher-level Weyl Calculus of Operators
- A tamer version of the Weyl calculus: the horocyclic calculus
- The higher-level metaplectic representations
- The radial parts of relativistic wave operators
- The higher-level Weyl calculi
- Can one compose two automorphic operators?
- The sharp product of two power-functions: the Weyl case
- Beyond the symplectic group
- 3. The Sharp Composition of Automorphic Distributions
- The Roelcke-Selberg expansion of functions associated with [actual symbol not reproducible]: the continuous part
- The Roelcke-Selberg expansion of functions associated with [actual symbol not reproducible]: the discrete part
- A proof of the main formula
- Towards the completion of the multiplication table
- 4. Further Perspectives
- Another way to compose Weyl symbols
- Odd automorphic distributions and modular forms of non-zero weight
- New perspectives and problems in quantization theory.
