Toeplitz operators over the paragrassmann unit disk

DOI10.1007/S40590-016-0106-XzbMath1369.47035OpenAlexW2294733381MaRDI QIDQ334763

Armando Sánchez-Nungaray, Victor Pérez-García, Martín Solis Pérez

Publication date: 1 November 2016

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0106-x

zbMATH Keywords

Toeplitz operatorsgroups and algebras in quantum theoryHilbert spaces with reproducing kernelsoperators in reproducing kernel Hilbert spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) 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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds
• PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA
• Coherent state quantization of paragrassmann algebras
• Random walk and the heat equation on superspace and anyspace
• Paragrassmann algebras as quantum spaces, Part II: Toeplitz Operators
• Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels

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