Une classe d'opérateurs elliptiques du second ordre sur un espace de Hilbert

DOI10.1016/0022-1236(80)90086-5zbMath0463.47029OpenAlexW1987707015MaRDI QIDQ1153536

Bernard Lascar

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90086-5

zbMATH Keywords

creation operatorannihilation operatorelliptic operators on Hilbert space

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Elliptic equations and elliptic systems (35J99)

Related Items (10)

A sufficient condition for the Cauchy problem to be well-posed ⋮ The Hörmander-Mellin inequality in multiple characteristics ⋮ Weyl calculus in Wiener spaces and in QED ⋮ Weyl calculus in QED I. The unitary group ⋮ Compositions of states and observables in Fock spaces ⋮ On bounded pseudodifferential operators in Wiener spaces ⋮ Weyl composition of symbols in large dimension ⋮ On bounded pseudodifferential operators in a high-dimensional setting ⋮ Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance ⋮ The Weyl symbol of Schrödinger semigroups

Cites Work

• Calcul d'intégrales et de dérivées en dimension infinie
• The exterior algebra for Wiemann manifolds
• On nonlinear transformations of Gaussian measures
• Potential theory on Hilbert space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Proprietes locales d'espaces de type sobolev en dimension
• Propriété de trace en dimension infinie d'espaces du type Sobolev
• Une condition neessaire et suffisante d'ellipticite pour une classe d'operateurs differentiels en dimension infinie
• Linear Symmetries of Free Boson Fields
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