Quantization rules and coorbit spaces for families of bounded operators
Univ. Santiago de Chile und Romanian Academy of Sciences
given at esi12 (16.10.12 10:00)
We start from a continuous family of bounded operators in a Hilbert space, indexed by a locally compact space. A certain square integrability condition is required with respect to a given Radon measure. Then one constructs and studies a symbolic calculus, various Gelfand triples with nice algebraic properties as well as coorbit spaces of vectors and symbols. The aim is to unify recent global pseudodifferential theories going beyond the group theoretic point of view.