Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895490 | Journal of Geometry and Physics | 2016 | 34 Pages |
Abstract
In this work various symbol spaces with values in a sequentially complete locally convex vector space are introduced and discussed. They are used to define vector-valued oscillatory integrals which allow to extend Rieffel’s strict deformation quantization to the framework of sequentially complete locally convex algebras and modules with separately continuous products and module structures, making use of polynomially bounded actions of RnRn. Several well-known integral formulas for star products are shown to fit into this general setting, and a new class of examples involving compactly supported RnRn-actions on RnRn is constructed.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Gandalf Lechner, Stefan Waldmann,