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Multi-quasi-elliptic operators and anti-Wick symbols

Multi-quasi-elliptic operators and anti-Wick symbols The Theory of multi-quasi-elliptic operators and associated Sobolev spaces is presented here making use of operators with anti-Wick symbols. This leads to remarkable simplifications in the definitions and the proves of the theorems. On the other side, it gives a positive answer to the problem of order reduction for this type of Sobolev spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

Multi-quasi-elliptic operators and anti-Wick symbols

Boggiatto, Paolo
ANNALI DELL UNIVERSITA DI FERRARA , Volume 41 (Suppl 1): 11 – Jan 1, 1996
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Publisher
Springer Journals
Copyright
Copyright © Università degli Studi di Ferrara 1995
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/bf02825260
Publisher site
See Article on Publisher Site

Abstract

The Theory of multi-quasi-elliptic operators and associated Sobolev spaces is presented here making use of operators with anti-Wick symbols. This leads to remarkable simplifications in the definitions and the proves of the theorems. On the other side, it gives a positive answer to the problem of order reduction for this type of Sobolev spaces.

Journal

ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals

Published: Jan 1, 1996

Keywords: Sobolev Space; Pseudodifferential Operator; Order Reduction; Fourier Integral Operator; Newton Polyhedron

References

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