Cet article s’intéresse au calcul symbolique des opérateurs microdifférentiels avec symboles exponentiels. On donne la loi de composition des symboles exponentiels. Comme application, on trouve une condition suffisante d’ellipticité pour les opérateurs microdifférentiels d’ordre infini.
This paper is concerned with the symbol calculus of microdifferential operators with exponential symbols. The composition law of exponential symbols is given. As an application, we find a sufficient condition of ellipticity for microdifferential operators of infinite order.
@article{AIF_1983__33_4_227_0, author = {Aoki, Takashi}, title = {Calcul exponentiel des op\'erateurs microdiff\'erentiels d'ordre infini. {I}}, journal = {Annales de l'Institut Fourier}, pages = {227--250}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {33}, number = {4}, year = {1983}, doi = {10.5802/aif.947}, mrnumber = {85f:58111}, zbl = {0495.58025}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.947/} }
TY - JOUR AU - Aoki, Takashi TI - Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. I JO - Annales de l'Institut Fourier PY - 1983 SP - 227 EP - 250 VL - 33 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.947/ DO - 10.5802/aif.947 LA - fr ID - AIF_1983__33_4_227_0 ER -
%0 Journal Article %A Aoki, Takashi %T Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. I %J Annales de l'Institut Fourier %D 1983 %P 227-250 %V 33 %N 4 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.947/ %R 10.5802/aif.947 %G fr %F AIF_1983__33_4_227_0
Aoki, Takashi. Calcul exponentiel des opérateurs microdifférentiels d'ordre infini. I. Annales de l'Institut Fourier, Tome 33 (1983) no. 4, pp. 227-250. doi : 10.5802/aif.947. http://www.numdam.org/articles/10.5802/aif.947/
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