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On the Existence and Structure of Ψ*-Algebras of Totally Characteristic Operators on Compact Manifolds with Boundary by Robert Lauter is a Mathematics article available to read on EtoBox.
What is On the Existence and Structure of Ψ*-Algebras of Totally Characteristic Operators on Compact Manifolds with Boundary about?
As a contribution to the pseudodifferential analysis on manifolds with singularities we construct for each smooth, compact manifold X with boundary a 9\*-algebra ) of totally characteristic pseudodifferential operators introduced by Melrose [25] in 1981 as a dense subalgebra; further, there is a homomorphism 9 is an algebra of C -symbols reflecting the smooth structure of the manifold X. The Fredholm inverses of Fredholm operators in A (b) (X, b 0 12 ) are again in the algebra A (b) (X, r 0 12 ), and we have elliptic regularity corresponding to the scale \* b H m b (X, b 0 12 ) of b-Sobolev spaces naturally associated to X. Localized to the interior of X we recover the ordinary pseudodifferential calculus. Finally, spectrum, Jacobson topology and the relationship of certain closed ideals in the algebra A (b) (X, b 0 12 ) are described explicitly.
Who reads On the Existence and Structure of Ψ*-Algebras of Totally Characteristic Operators on Compact Manifolds with Boundary?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Robert Lauter
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 1999
- Language
- EN
- Field
- Mathematics (Physical Sciences)