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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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},
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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

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