Pseudodifferential Operators and Weighted Normed Symbol Spaces

Sjöstrand, J.. "Pseudodifferential Operators and Weighted Normed Symbol Spaces." Serdica Mathematical Journal 34.1 (2008): 1-38. <http://eudml.org/doc/281432>.

@article{Sjöstrand2008,
abstract = {2000 Mathematics Subject Classification: 35S05.This work is the continuation of two earlier ones by the author and stimulated by many more recent contributions. We develop a very general calculus of pseudodifferential operators with microlocally defined normed symbol spaces. The goal was to attain the natural degree of generality in the case when the underlying metric on the cotangent space is constant. We also give sufficient conditions for our operators to belong to Schatten–von Neumann classes.},
author = {Sjöstrand, J.},
journal = {Serdica Mathematical Journal},
keywords = {Pseudodifferential Operator; Symbol; Modulation Space; pseudodifferential operators; Weyl quantization},
language = {eng},
number = {1},
pages = {1-38},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Pseudodifferential Operators and Weighted Normed Symbol Spaces},
url = {http://eudml.org/doc/281432},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Sjöstrand, J.
TI - Pseudodifferential Operators and Weighted Normed Symbol Spaces
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 1
SP - 1
EP - 38
AB - 2000 Mathematics Subject Classification: 35S05.This work is the continuation of two earlier ones by the author and stimulated by many more recent contributions. We develop a very general calculus of pseudodifferential operators with microlocally defined normed symbol spaces. The goal was to attain the natural degree of generality in the case when the underlying metric on the cotangent space is constant. We also give sufficient conditions for our operators to belong to Schatten–von Neumann classes.
LA - eng
KW - Pseudodifferential Operator; Symbol; Modulation Space; pseudodifferential operators; Weyl quantization
UR - http://eudml.org/doc/281432
ER -