Positivity results for Weyl's pseudo-differential calculus on the Wiener space
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Publication:6110678
DOI10.1007/s11868-023-00526-6arXiv2205.04091OpenAlexW4375862457MaRDI QIDQ6110678
Publication date: 6 July 2023
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.04091
positivityWiener spacesGårding's inequalitypseudo-differential calculussymbol classesstochastic extensions
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Pseudodifferential operators and other generalizations of partial differential operators (35S99)
Cites Work
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- On bounded pseudodifferential operators in Wiener spaces
- Gaussian measures in Banach spaces
- On nonlinear transformations of Gaussian measures
- Gårding inequality in large dimension
- Stochastic extensions of symbols in Wiener spaces and heat operator
- On integrals over a convex set of the Wigner distribution
- Lower bounds for pseudodifferential operators with a radial symbol
- Potential theory on Hilbert space
- Weyl calculus in QED I. The unitary group
- The heat operator in infinite dimensions
- Harmonic Analysis in Phase Space. (AM-122)
- Gaussian Hilbert Spaces
- Beals Characterization of Pseudodifferential Operators in Wiener Spaces
- Compositions of states and observables in Fock spaces
- Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance
- Measurable Functions on Hilbert Space