Gross Laplacian acting on operators

DOI10.1007/s10440-008-9273-8zbMath1178.60050OpenAlexW2044221094MaRDI QIDQ1038718

Samah Horrigue, Habib Ouerdiane

Publication date: 20 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9273-8

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Distributions on infinite-dimensional spaces (46F25)

Related Items (7)

QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM ⋮ Rotation invariance of quantum Laplacians ⋮ STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS ⋮ Quantum Laplacian and applications ⋮ Evolution equation associated to the powers of the quantum Gross Laplacian ⋮ Solutions of infinite dimensional partial differential equations ⋮ QWN-first-order Wick differential operators and an associated transport equation

Cites Work

• 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
• ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION
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