On the eigenvalues of a class of hypo-elliptic operators. IV

Sjöstrand, Johannes. "On the eigenvalues of a class of hypo-elliptic operators. IV." Annales de l'institut Fourier 30.2 (1980): 109-169. <http://eudml.org/doc/74446>.

@article{Sjöstrand1980,
abstract = {Let $P$ be a selfadjoint classical pseudo-differential operator of order $&gt;1$ with non-negative principal symbol on a compact manifold. We assume that $P$ is hypoelliptic with loss of one derivative and semibounded from below. Then exp$(-tP)$, $t\ge 0$, is constructed as a non-classical Fourier integral operator and the main contribution to the asymptotic distribution of eigenvalues of $P$ is computed. This paper is a continuation of a series of joint works with A. Menikoff.},
author = {Sjöstrand, Johannes},
journal = {Annales de l'institut Fourier},
keywords = {non-classical Fourier integral operator; asymptotic distribution of eigenvalues},
language = {eng},
number = {2},
pages = {109-169},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the eigenvalues of a class of hypo-elliptic operators. IV},
url = {http://eudml.org/doc/74446},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Sjöstrand, Johannes
TI - On the eigenvalues of a class of hypo-elliptic operators. IV
JO - Annales de l'institut Fourier
PY - 1980
PB - Association des Annales de l'Institut Fourier
VL - 30
IS - 2
SP - 109
EP - 169
AB - Let $P$ be a selfadjoint classical pseudo-differential operator of order $&gt;1$ with non-negative principal symbol on a compact manifold. We assume that $P$ is hypoelliptic with loss of one derivative and semibounded from below. Then exp$(-tP)$, $t\ge 0$, is constructed as a non-classical Fourier integral operator and the main contribution to the asymptotic distribution of eigenvalues of $P$ is computed. This paper is a continuation of a series of joint works with A. Menikoff.
LA - eng
KW - non-classical Fourier integral operator; asymptotic distribution of eigenvalues
UR - http://eudml.org/doc/74446
ER -