A weakly polyhomogeneous calculus for pseudodifferential boundary problems

DOI10.1006/jfan.2000.3649zbMath0998.58017OpenAlexW2085083653MaRDI QIDQ5944721

Gerd Grubb

Publication date: 16 November 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3649

zbMATH Keywords

pseudodifferential boundary problemstrace expansionsweakly polyhomogeneous symbols

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (5)

COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS ⋮ On the expansion of the resolvent for elliptic boundary contact problems ⋮ \(\eta \) forms and determinant lines ⋮ Traces and quasi-traces on the Boutet de Monvel algebra. ⋮ Parametric pseudodifferential operators with point-singularity in the covariable

Cites Work

• Unnamed Item
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• Singular Green operators and their spectral asymptotics
• Functional calculus of pseudo-differential boundary problems
• A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces
• Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
• Functional calculus of pseudodifferential boundary problems.
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• Zeta and eta functions for Atiyah-Patodi-Singer operators
• Boundary problems for pseudo-differential operators
• Pseudo-differential boundary problems in L_p, spaces
• The transmission property.
• Heat Operator Trace Expansions and Index for General Atiyah–Patodi–Singer Boundary Problems

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