Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels

DOI10.1007/978-3-0348-0645-9_5zbMath1315.46027arXiv1204.1033OpenAlexW2107606501MaRDI QIDQ5498846

Stephen Bruce Sontz

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1033

zbMATH Keywords

reproducing kernelSegal-Bargmann spacequantum spaceparagrassmann algebra

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (3)

Toeplitz operators over the paragrassmann unit disk ⋮ Coherent states for the Manin plane via Toeplitz quantization ⋮ A Reproducing Kernel and Toeplitz Operators in the Quantum Plane

Cites Work

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• Coherent state quantization of paragrassmann algebras
• On a Hilbert space of analytic functions and an associated integral transform part I
• Paragrassmann algebras as quantum spaces, Part II: Toeplitz Operators
• Theory of Reproducing Kernels

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