Complex powers of hypoelliptic pseudodifferential operators

DOI10.1016/j.jfa.2007.01.008zbMath1122.35161OpenAlexW2056840508MaRDI QIDQ883498

Fabio Nicola, Ernesto Buzano

Publication date: 4 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.01.008

zbMATH Keywords

Weyl-Hörmander calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)

Related Items (14)

Analytic semigroups generated by globally hypoelliptic operators ⋮ Complex powers for a class of infinite order hypoelliptic operators ⋮ Fourier multipliers, symbols, and nuclearity on compact manifolds ⋮ EQUIVALENCE OF ELLIPTICITY AND THE FREDHOLM PROPERTY IN THE WEYL-HÖRMANDER CALCULUS ⋮ Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary ⋮ On a class of anharmonic oscillators ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ $H_\infty $-calculus for hypoelliptic pseudodifferential operators ⋮ Schatten classes on compact manifolds: kernel conditions ⋮ Global functional calculus for operators on compact Lie groups ⋮ Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations ⋮ On a class of anharmonic oscillators. II: General case ⋮ Pseudo-differential operators and logarithmic Schatten classes ⋮ Weyl formula for hypoelliptic operators of Schrödinger type

Cites Work

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• Complex powers of elliptic pseudodifferential operators
• Complex powers on noncompact manifolds and manifolds with singularities
• On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\)
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Characterization of pseudodifferential operator and application
• Correction to characterization of pseudodifferential operators
• Singular values of compact pseudodifferential operators
• Bounded imaginary powers of differential operators on manifolds with conical singularities
• Complex powers of differential operators on manifolds with conical singularities
• Wave front set at infinity and hyperbolic linear operators with multiple characteristics
• On the closedness of the sum of two closed operators
• On the heat equation and the index theorem
• Complex powers of hypoelliptic pseudo-differential operators with applications
• FREDHOLM THEORY FOR DEGENERATE PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBERED BOUNDARIES
• ON ASYMPTOTIC DISTRIBUTION OF EIGENVALUES OF PSEUDODIFFERENTIAL OPERATORS IN $ \mathbf R^n$
• The weyl calculus of pseudo-differential operators
• Proprietes spectrales d'operators pseduo-differentiels
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• The Resolvent of an Elliptic Boundary Problem
• Analytic Extension of the Trace Associated with Elliptic Boundary Problems
• The structure of the resolvent of elliptic pseudodifferential operators

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