On the symbol homomorphism of a certain Frechet algebra of singular integral operators
- verfasst von
- 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.
- Externe Organisation(en)
-
University of California at Berkeley
Johannes Gutenberg-Universität Mainz
- Typ
- Artikel
- Journal
- Integral Equations and Operator Theory
- Band
- 8
- Seiten
- 641-649
- Anzahl der Seiten
- 9
- ISSN
- 0378-620X
- Publikationsdatum
- 09.1985
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Analysis, Algebra und Zahlentheorie
- Elektronische Version(en)
-
https://doi.org/10.1007/BF01201707 (Zugang:
Geschlossen)
