Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems

DOI10.1007/BF02384828zbMath1021.35046OpenAlexW2043769190MaRDI QIDQ1810323

Gerd Grubb

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384828

zbMATH Keywords

pseudodifferential boundary conditionsindex formulafirst-order differential operatorsexpansions of heat traces

Mathematics Subject Classification ID

Related Items (27)

Zeta determinants on manifolds with boundary ⋮ Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions ⋮ COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS ⋮ Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners ⋮ Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary ⋮ Log TQFT ⋮ The refined analytic torsion and a well-posed boundary condition for the odd signature operator ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ The gluing formula of the refined analytic torsion for an acyclic Hermitian connection ⋮ Bergman and Calderón projectors for Dirac operators ⋮ The local and global parts of the basic zeta coefficient for operators on manifolds with boundary ⋮ The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian ⋮ The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions ⋮ Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the \(\mathcal{Z}_2\)-invariant in topological insulators ⋮ Relative zeta determinants and the geometry of the determinant line bundle ⋮ A weakly polyhomogeneous calculus for pseudodifferential boundary problems ⋮ On the gluing problem for the spectral invariants of Dirac operators ⋮ Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian ⋮ On boundary value problems for Dirac type operators. I: Regularity and self-adjointness ⋮ On gluing formulas for the spectral invariants of Dirac type operators ⋮ Boundary problems for Dirac-type operators on manifolds with multi-cylindrical end boundaries ⋮ An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary ⋮ The Regularity of the Eta Function for Perturbations of Order -(dim X) of the Atiyah-Patodi-Singer Boundary Problem ⋮ The Calderón projection: New definition and applications ⋮ Logarithmic terms in asymptotic expansions of heat operator traces ⋮ Splitting the curvature of the determinant line bundle ⋮ On the gluing problem for Dirac operators on manifolds with cylindrical ends

Cites Work

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