Strict deformation quantization of locally convex algebras and modules
Lechner G, Waldmann S (2016)
Publication Type: Journal article
Publication year: 2016
Journal
Book Volume: 99
Pages Range: 111-144
DOI: 10.1016/j.geomphys.2015.09.013
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 Rn. 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 Rn-actions on Rn is constructed.
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United Kingdom (GB)
Germany (DE)How to cite
APA:
Lechner, G., & Waldmann, S. (2016). Strict deformation quantization of locally convex algebras and modules. Journal of Geometry and Physics, 99, 111-144. https://doi.org/10.1016/j.geomphys.2015.09.013
MLA:
Lechner, Gandalf, and Stefan Waldmann. "Strict deformation quantization of locally convex algebras and modules." Journal of Geometry and Physics 99 (2016): 111-144.
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