Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 143-145
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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/
@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},
year = {1987},
volume = {163},
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
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
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a11/
%G ru
%F ZNSL_1987_163_a11
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.
