On the symbol homomorphism of a certain Frechet algebra of singular integral operators
- authored by
- Heinz Otto Cordes, Elmar Schrohe
- Abstract
We prove the surjectivity of the symbol map of the Frechet algebra obtained by completing an algebra of convolution and multiplication operators in the topology generated by all L2-Sobolev norms. The proof is based on an ℝn of Egorov's theorem valid for non-homogeneous principal symbols, discussed in [5], [6]. We use the hyperbolic equation ∂u/∂t=i|D|ηu, 0<η<1, which has its characteristic flow constant at infinity, so that no differentiability of the symbol is required there.
- External Organisation(s)
-
University of California at Berkeley
Johannes Gutenberg University Mainz
- Type
- Article
- Journal
- Integral Equations and Operator Theory
- Volume
- 8
- Pages
- 641-649
- No. of pages
- 9
- ISSN
- 0378-620X
- Publication date
- 09.1985
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1007/BF01201707 (Access:
Closed)
