Riesz means of the distribution function of the eigenvalues of an elliptic operator
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 143-145

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $N(\lambda)$ be the distribution function of eigenvalues of a elliptic operator. We investigate the asymptotics of the Eiesz means of $N(\lambda)$ when $\lambda\to\infty$. Under some assumptions (they are fulfilled, in particular, for Laplace operator) we obtaine the nest term of asymptotics in comparison with known formulas.
@article{ZNSL_1987_163_a11,
     author = {Yu. G. Safarov},
     title = {Riesz means of the distribution function of the eigenvalues of an elliptic operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {143--145},
     publisher = {mathdoc},
     volume = {163},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a11/}
}
TY  - JOUR
AU  - Yu. G. Safarov
TI  - Riesz means of the distribution function of the eigenvalues of an elliptic operator
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1987
SP  - 143
EP  - 145
VL  - 163
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a11/
LA  - ru
ID  - ZNSL_1987_163_a11
ER  - 
%0 Journal Article
%A Yu. G. Safarov
%T Riesz means of the distribution function of the eigenvalues of an elliptic operator
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 143-145
%V 163
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a11/
%G ru
%F ZNSL_1987_163_a11
Yu. G. Safarov. Riesz means of the distribution function of the eigenvalues of an elliptic operator. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 143-145. http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a11/