Spectral asymptotics for first order systems

DOI10.4171/JST/137zbMath1423.35281arXiv1512.06281OpenAlexW2197248863MaRDI QIDQ516566

Zhirayr Avetisyan, Yan-Long Fang, Dmitri Vassiliev

Publication date: 14 March 2017

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06281

zbMATH Keywords

Dirac operatorspectral theoryWeyl asymptoticsspectral asymmetry

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) First-order elliptic systems (35J46) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)

Related Items (5)

Invariant subspaces of elliptic systems. II: spectral theory ⋮ Spectral analysis of the Dirac operator on a 3-sphere ⋮ Analytic definition of spin structure ⋮ The second Weyl coefficient for a first order system ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime

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