Complex powers of elliptic pseudodifferential operators

DOI10.1007/BF01199350zbMath0597.35123MaRDI QIDQ1078782

Elmar Schrohe

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

complex powerselliptic pseudo-differential operatorssingularities of the kernel

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Higher-order elliptic equations (35J30) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (17)

Complex Powers and Non-compact Manifolds ⋮ Complex powers on noncompact manifolds and manifolds with singularities ⋮ A \(\psi ^ *\) algebra of pseudodifferential operators on noncompact manifolds ⋮ Weighted local Weyl laws for elliptic operators ⋮ Complex powers for a class of infinite order hypoelliptic operators ⋮ Local index theory for operators associated with Lie groupoid actions ⋮ Complex powers of hypoelliptic pseudodifferential operators ⋮ Analytic continuation of weighted Bergman kernels ⋮ Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary ⋮ Resolvents and complex powers of semiclassical cone operators ⋮ Complex powers of differential operators on manifolds with conical singularities ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ Toeplitz operators and weighted Bergman kernels ⋮ Global functional calculus for operators on compact Lie groups ⋮ Determinants of classical SG‐pseudodifferential operators ⋮ TEMPERED OPERATORS AND THE HEAT KERNEL AND COMPLEX POWERS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS ⋮ Asymptotic and exact expansions of heat traces

Cites Work

• Unnamed Item
• The residue of the global eta function at the origin
• Spectral asymmetry and zeta functions
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS
• The Resolvent of an Elliptic Boundary Problem

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