Complex powers on noncompact manifolds and manifolds with singularities

DOI10.1007/BF01457152zbMath0627.35090MaRDI QIDQ1092338

Elmar Schrohe

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164428

zbMATH Keywords

singularitiesanalytic extensionelliptic pseudodifferential operatorpositive orderasymptotic expansion of the symbolfamily of complex powersSG-compatible manifolds

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (19)

Complex Powers and Non-compact Manifolds ⋮ The Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups ⋮ 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 ⋮ Resolvents and complex powers of semiclassical cone operators ⋮ Holomorphic extension of solutions of semilinear elliptic equations ⋮ Wodzicki residue for operators on manifolds with cylindrical ends ⋮ Complex powers of differential operators on manifolds with conical singularities ⋮ Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted \(L^ p\)-Sobolev spaces ⋮ Weyl law on asymptotically Euclidean manifolds ⋮ Propagation of singularities and growth for Schrödinger operators ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ Global functional calculus for operators on compact Lie groups ⋮ A note on the Einstein-Hilbert action and Dirac operators on \({\mathbb{R}^n}\) ⋮ Normal solvability of elliptic boundary value problems on asymptotically flat manifolds ⋮ Determinants of classical SG‐pseudodifferential operators ⋮ Unbounded pseudodifferential calculus on Lie groupoids ⋮ Fréchet Algebra Techniques for Boundary Value Problems on Noncompact Manifolds: Fredholm Criteria and Functional Calculus via Spectral Invariance

Cites Work

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• Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula
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• The Resolvent of an Elliptic Boundary Problem

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