Subharmonic functions in scattering theory

DOI10.5802/CRMATH.217zbMath1472.35260OpenAlexW3196398249MaRDI QIDQ1979882

Sergey A. Denisov

Publication date: 3 September 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.217

zbMATH Keywords

multidimensional Schrödinger operator with rough potential.spatial asymptotics of Green's kernel

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Green's functions for elliptic equations (35J08)

Cites Work

• Spectral representations for Schrödinger operators with long-range potentials
• The analysis of linear partial differential operators. IV: Fourier integral operators
• The existence of wave operators in scattering theory
• Operator kernel estimates for functions of generalized Schrödinger operators
• Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation
• Multidimensional L2 conjecture: a survey
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