Publication year: 2008
: 978-3-540-77911-7
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.
: Mathematics and Statistics, Pseudodifferential analysis, Rankin-Cohen brackets, Representation theory, anaplectic representation, calculus, partial differential equations