Evolution equation associated to the powers of the quantum Gross Laplacian

DOI10.1080/17442500902919611zbMath1180.60058OpenAlexW2073900541MaRDI QIDQ3396074

Samah Horrigue, Soumaya Gheryani, Habib Ouerdiane

Publication date: 16 September 2009

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500902919611

zbMATH Keywords

convolution operatorssymbols of operatorsquantum Gross Laplacianquantum Gross heat equations

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) White noise theory (60H40) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Gross Laplacian acting on operators
• White noise calculus and Fock space
• Algebras of operators on holomorphic functions and applications
• A duality theorem between spaces of holomorphic functions of exponential growth
• Potential theory on Hilbert space
• Some cauchy problems in white noise analysis and associated semigroups of operators

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