6533b7ddfe1ef96bd1274691

RESEARCH PRODUCT

Spaces of weighted symbols and weighted sobolev spaces on manifolds

Elmar Schrohe

subject

Sobolev spacePure mathematicsClass (set theory)Transfer (group theory)Symbolic calculusPseudodifferential operatorsFredholm operatorStructure (category theory)Mathematics::Differential GeometryInvariant (mathematics)Mathematics

description

This paper gives an approach to pseudodifferential operators on noncompact manifolds using a suitable class of weighted symbols and Sobolev spaces introduced by H.O. Cordes on ℙ. Here, these spaces are shown to be invariant under certain changes of coordinates. It is therefore possible to transfer them to manifolds with a compatible structure.

yearjournalcountryeditionlanguage
1987-01-01
https://doi.org/10.1007/bfb0077751