Global propagator for the massless Dirac operator and spectral asymptotics
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Publication:2675214
DOI10.1007/s00020-022-02708-1zbMath1501.35338arXiv2004.06351OpenAlexW3016864563WikidataQ114232074 ScholiaQ114232074MaRDI QIDQ2675214
Dmitri Vassiliev, Matteo Capoferri
Publication date: 21 September 2022
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06351
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Initial value problems for first-order hyperbolic systems (35L45) Hyperbolic equations on manifolds (58J45) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- The local counting function of operators of Dirac and Laplace type
- The spectral function of a first order elliptic system
- Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten
- Global wave parametrices on globally hyperbolic spacetimes
- Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary
- The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- The residue of the global eta function at the origin
- The topology of 4-manifolds
- Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
- Residues of the eta function for an operator of Dirac type
- The spectrum of positive elliptic operators and periodic bicharacteristics
- The spectral action principle
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- The Dirac operator on space forms of positive curvature
- Diagonalization of elliptic systems via pseudodifferential projections
- Invariant subspaces of elliptic systems I: pseudodifferential projections
- Invariant subspaces of elliptic systems. II: spectral theory
- Fourier integral operators. II
- Metrics with harmonic spinors
- Spectral analysis of the Dirac operator on a 3-sphere
- Analysis of First Order Systems of Partial Differential Equations
- Spectral Asymmetry and Riemannian Geometry
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- On global representation of lagrangian distributions and solutions of hyperbolic equations
- The second Weyl coefficient for a first order system
- Classification of first order sesquilinear forms
- Analytic definition of spin structure
- Spectral theoretic characterization of the massless Dirac operator
- Spectral asymmetry of the massless Dirac operator on a 3-torus