Complex powers of hypoelliptic pseudo-differential operators with applications

zbMath0264.35019MaRDI QIDQ2561708

Chisato Tsutsumi, Hitoshi Kumano-Go

Publication date: 1973

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10)

Related Items (17)

Complex powers on noncompact manifolds and manifolds with singularities ⋮ Complex powers for a class of infinite order hypoelliptic operators ⋮ Complex powers of hypoelliptic pseudodifferential operators ⋮ Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary ⋮ On the index of hypoelliptic pseudo-differential operators on $R^n $ ⋮ On symbols of fundamental solutions of parabolic systems ⋮ The fundamental solution for a degenerate parabolic pseudo-dierential operator ⋮ The fundamental solution for a parabolic pseudo-differential operator and parametrices for degenerate operators ⋮ Invariance of the $L_p$ spectrum for hypoelliptic operators ⋮ $H_\infty $-calculus for hypoelliptic pseudodifferential operators ⋮ The generalized form of Poincaré's inequality and its application to hypoellipticity ⋮ Schatten classes on compact manifolds: kernel conditions ⋮ Global functional calculus for operators on compact Lie groups ⋮ Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type ⋮ A functional calculus of pseudodifferential operators on unimodular Lie groups ⋮ Zeta-function of a transversely elliptic operator ⋮ Spectral properties and the spectrum distribution function of a transversally elliptic operator

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