Alternative pseudodifferential analysis : With an application to modular forms
- Author
- André Unterberger
- Publication Year
- 2008
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
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This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis.
Keywords: Mathematics and Statistics / Pseudodifferential analysis / Rankin-Cohen brackets / Representation theory / Anaplectic representation / Calculus / Partial differential equations
