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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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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