Uniqueness of generalized Schrödinger operators and applications
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Publication:1187771
DOI10.1016/0022-1236(92)90078-WzbMath0779.35028MaRDI QIDQ1187771
Tu-Sheng Zhang, Michael Roeckner
Publication date: 23 July 1992
Published in: Journal of Functional Analysis (Search for Journal in Brave)
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Cites Work
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- Girsanov transform for symmetric diffusions with infinite dimensional state space
- Calcul d'intégrales et de dérivées en dimension infinie
- Lectures on stochastic differential equations and Malliavin calculus
- On the contraction property of energy forms on infinite-dimensional space
- The essential self-adjointness of generalized Schrödinger operators
- Sobolev spaces of Wiener functionals and Malliavin's calculus
- On the stochastic quantization of field theory
- Formes de Dirichlet générales et densité des variables aléatoires réelles sur l'espace de Wiener. (General Dirichlet forms and density of real random variables on Wiener space)
- On the uniqueness of Markovian self-adjoint extension of diffusion operators on infinite dimensional spaces
- Traces of harmonic functions and a new path space for the free quantum field
- Stochastic quantization of field theory in finite and infinite volume
- Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process
- Regularity properties of Schrödinger and Dirichlet semigroups
- Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions
- Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
- Specifications and Martin boundaries for \(\mathcal P(\phi)_2\)-random fields
- On a characterization of the Sobolev spaces over an abstract Wiener space
- The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time
- The free Markoff field
- Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
- Construction of nonlinear local quantum processes. I
- Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
- Photocopying permitted by license only an alternative compactification for classical dirichlet forms on topological vector spaces
- On Partial Integration in Infinite-Dimensional Space and Applications to Dirichlet Forms
- Dirichlet forms and diffusion processes on rigged Hilbert spaces
- Energy forms, Hamiltonians, and distorted Brownian paths
- Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
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