Treffer: Multi-quasi-elliptic operators and anti-Wick symbols
Title:
Multi-quasi-elliptic operators and anti-Wick symbols
Authors:
Source:
ANNALI DELL UNIVERSITA DI FERRARA. 41:139-149
Publisher Information:
Springer Science and Business Media LLC, 1996.
Publication Year:
1996
Subject Terms:
multi-quasi-elliptic pseudo-differential operators, quantizations, Numerical computation of solutions to systems of equations, Pseudodifferential operators as generalizations of partial differential operators, anti-Wick symbols, order reduction, Pseudodifferential operators, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift
Article<br />Conference object
File Description:
application/xml
Language:
English
ISSN:
1827-1510
0430-3202
0430-3202
DOI:
10.1007/bf02825260
Access URL:
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....974b4e5bc9e50746c28f868cd5e34b1a
Database:
OpenAIRE
Weitere Informationen
The anti-Wick symbols and corresponding quantizations are very useful tools in the theory of the pseudo-differential operators, see for example [\textit{N. Lerner}, Pitman Research Notes in Math. Ser. 349, 123-154 (1996; Zbl 0865.35153)]. In the present paper, the author applies the anti-Wick machinery to multi-quasi-elliptic pseudo-differential operators, as previously considered in \textit{P. Boggiatto}, \textit{E. Buzano} and \textit{L. Rodino} [Global hypoellipticity and spectral theory, Akademie Verlag, Berlin (1996; Zbl 0878.35001)]. This leads to remarkable simplifications in the calculus and gives a positive answer to the problem of order reduction for corresponding Sobolev spaces.