Geodesic
Two remarks about spectral asymptotics of pseudodifferential operators
Colloquium Mathematicum, Tome 80 (1999) no. 1, pp. 131-145

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this paper we show an asymptotic formula for the number of eigenvalues of a pseudodifferential operator. As a corollary we obtain a generalization of the result by Shubin and Tulovskiĭ about the Weyl asymptotic formula. We also consider a version of the Weyl formula for the quasi-classical asymptotics.
DOI : 10.4064/cm-80-1-131-145

Wojciech Czaja 1 ; Ziemowit Rzeszotnik 1

1 
@article{10_4064_cm_80_1_131_145,
     author = {Wojciech Czaja and Ziemowit Rzeszotnik},
     title = {Two remarks about spectral asymptotics of pseudodifferential operators},
     journal = {Colloquium Mathematicum},
     pages = {131--145},
     publisher = {mathdoc},
     volume = {80},
     number = {1},
     year = {1999},
     doi = {10.4064/cm-80-1-131-145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-80-1-131-145/}
}
TY  - JOUR
AU  - Wojciech Czaja
AU  - Ziemowit Rzeszotnik
TI  - Two remarks about spectral asymptotics of pseudodifferential operators
JO  - Colloquium Mathematicum
PY  - 1999
SP  - 131
EP  - 145
VL  - 80
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-80-1-131-145/
DO  - 10.4064/cm-80-1-131-145
LA  - en
ID  - 10_4064_cm_80_1_131_145
ER  - 
%0 Journal Article
%A Wojciech Czaja
%A Ziemowit Rzeszotnik
%T Two remarks about spectral asymptotics of pseudodifferential operators
%J Colloquium Mathematicum
%D 1999
%P 131-145
%V 80
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-80-1-131-145/
%R 10.4064/cm-80-1-131-145
%G en
%F 10_4064_cm_80_1_131_145
Wojciech Czaja; Ziemowit Rzeszotnik. Two remarks about spectral asymptotics of pseudodifferential operators. Colloquium Mathematicum, Tome 80 (1999) no. 1, pp. 131-145. doi: 10.4064/cm-80-1-131-145

Cité par Sources :