Two remarks about spectral asymptotics of pseudodifferential operators
Tom 80 / 1999
Colloquium Mathematicum 80 (1999), 131-145
DOI: 10.4064/cm-80-1-131-145
Streszczenie
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.
