6533b871fe1ef96bd12d2379

RESEARCH PRODUCT

Pseudodifferential Analysis on Manifolds with Boundary — a Comparison of b-Calculus and Cone Algebra

Robert LauterJörg Seiler

subject

AlgebraGlobal analysisCone (topology)Mathematics::K-Theory and HomologyRicci-flat manifoldBoundary (topology)Gravitational singularityConical surfaceMathematics::Spectral TheoryType (model theory)MathematicsPoisson algebra

description

We establish a relation between two different approaches to a complete pseudodifferential analysis of totally characteristic or Fuchs type operators on compact manifolds with boundary respectively conical singularities: Melrose’s (overblown) b-calculus and Schulze’s cone algebra. Though quite different in their definition, we show that these two pseudodifferential calculi basically contain the same operators.

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/978-3-0348-8253-8_5