ALGEBRAS OF PSEUDODIFFERENTIAL-OPERATORS IN L-2 GIVEN BY SMOOTH MEASURES ON HILBERT-SPACES

Citation
S. Albeverio et A. Daletskii, ALGEBRAS OF PSEUDODIFFERENTIAL-OPERATORS IN L-2 GIVEN BY SMOOTH MEASURES ON HILBERT-SPACES, Mathematische Nachrichten, 192, 1998, pp. 5-22
Citations number
33
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
0025584X
Volume
192
Year of publication
1998
Pages
5 - 22
Database
ISI
SICI code
0025-584X(1998)192:<5:AOPILG>2.0.ZU;2-Y
Abstract
Pseudodifferential operators with symbols on a Hilbert phase space are defined as symmetric operators in L-2 given by a smooth measure. The main formulae of symbolic calculus are proved in this context.