The jump at zero of the spectral shift function

DOI10.1016/j.jfa.2003.07.013zbMath1081.58019OpenAlexW2052773756MaRDI QIDQ1883223

Gilles Carron

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.07.013

zbMATH Keywords

spectral shift functionDirichlet-to-Neumann operatorzero energy resonance

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32) Scattering theory of linear operators (47A40)

Related Items (10)

Spectral determinants on Mandelstam diagrams ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ Asymptotic expansion in time of the Schrödinger group on conical manifolds ⋮ Heat kernel estimate in a conical singular space ⋮ A new Levinson's theorem for potentials with critical decay ⋮ Two-body threshold spectral analysis, the critical case ⋮ Moduli spaces of meromorphic functions and determinant of the Laplacian ⋮ Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times ⋮ The Riesz transform for homogeneous Schrödinger operators on metric cones ⋮ Geometric and obstacle scattering at low energy

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