6533b852fe1ef96bd12aaa33

RESEARCH PRODUCT

Functional Calculus and Fredholm Criteria for Boundary Value Problems on Noncompact Manifolds

Elmar Schrohe

subject

Discrete mathematicsPure mathematicsClass (set theory)Fredholm integral equationMathematics::Spectral TheoryType (model theory)Fredholm theoryManifoldFunctional calculusSobolev spacesymbols.namesakeMathematics::K-Theory and HomologysymbolsMathematics::Differential GeometryBoundary value problemMathematics::Symplectic GeometryMathematics

description

A Boutet de Monvel type calculus is developed for boundary value problems on (possibly) noncompact manifolds. It is based on a class of weighted symbols and Sobolev spaces. If the underlying manifold is compact, one recovers the standard calculus. The following is proven:

yearjournalcountryeditionlanguage
1992-01-01
https://doi.org/10.1007/978-3-0348-8623-9_20