Two remarks about spectral asymptotics of pseudodifferential operators
Colloquium Mathematicum, Tome 80 (1999) no. 1, pp. 131-145
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.
@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},
year = {1999},
volume = {80},
number = {1},
doi = {10.4064/cm-80-1-131-145},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-80-1-131-145/}
}
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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
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