Fourier duality as a quantization principle

DOI10.1007/BF02435738zbMath0870.58029arXivfunct-an/9608005MaRDI QIDQ679476

L. A. Saeger, Ruben Aldrovandi

Publication date: 28 May 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9608005

zbMATH Keywords

quantizationphase spacehalf-planeFourier dualityKac algebrasWeyl-Wigner formalism

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Geometric quantization (53D50)

Related Items (1)

Projective Fourier duality and Weyl quantization

Cites Work

• Unitary representations of group extensions. I
• Compact matrix pseudogroups
• Duality of algebras with an involution and generalized shift operators
• Characterization of objects dual to locally compact groups
• Deformation theory and quantization. I: Deformations of symplectic structures
• Projective Fourier duality and Weyl quantization
• Borel Structure in Groups and Their Duals
• On the structure of quantum phase space
• Harmonic Analysis in Phase Space. (AM-122)
• NONUNIMODULAR RING GROUPS AND HOPF-VON NEUMANN ALGEBRAS
• DEFORMATIONS OF ALGEBRAS OF OBSERVABLES AND THE CLASSICAL LIMIT OF QUANTUM MECHANICS
• Duality and von Neumann algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fourier duality as a quantization principle