Geodesic
On a symbol class of elliptic pseudodifferential operators
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 27 (2002), p. 57 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider a class of symbols with prescribed smoothness and growth conditions and give examples of such symbols. The introduced class contains certain polynomial symbols and symbols with more than polynomial growth in phase space. The corresponding pseudodifferential operators defined as the Weyl transforms of the symbols are elliptic. As an application, we give a result on isomorphisms between modulation spaces. In particular, we show that the Bessel potentials establish such isomorphisms.
DOI : 10.2298/BMAT0227057P
Classification : 47G30
Keywords: pseudodifferential operators, ellipticity, modulation spaces 
@article{10_2298_BMAT0227057P,
     author = {S. Pilipovi\'c and N. Teofanov},
     title = {On a symbol class of elliptic pseudodifferential operators},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {57 },
     publisher = {mathdoc},
     volume = {27},
     year = {2002},
     doi = {10.2298/BMAT0227057P},
     zbl = {1219.47068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0227057P/}
}
TY  - JOUR
AU  - S. Pilipović
AU  - N. Teofanov
TI  - On a symbol class of elliptic pseudodifferential operators
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2002
SP  - 57 
VL  - 27
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/BMAT0227057P/
DO  - 10.2298/BMAT0227057P
LA  - en
ID  - 10_2298_BMAT0227057P
ER  - 
%0 Journal Article
%A S. Pilipović
%A N. Teofanov
%T On a symbol class of elliptic pseudodifferential operators
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2002
%P 57 
%V 27
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/BMAT0227057P/
%R 10.2298/BMAT0227057P
%G en
%F 10_2298_BMAT0227057P
S. Pilipović; N. Teofanov. On a symbol class of elliptic pseudodifferential operators. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 27 (2002), p. 57 . doi : 10.2298/BMAT0227057P. http://geodesic.mathdoc.fr/articles/10.2298/BMAT0227057P/

Cité par Sources :