Nous étudions une algèbre de fonctions infiniment différentiables définies sur l’espace de phase et satisfaisant des conditions de croissance à l’infini. Le produit dans est la transformée de Fourier symplectique de la convolution gauche. On montre que est une généralisation naturelle de l’algèbre des opérateurs pseudodifférentiels.
@article{AIF_1968__18_2_343_0, author = {Grossmann, A. and Loupias, Guy and Stein, Elias M.}, title = {An algebra of pseudo-differential operators and quantum mechanics in phase space}, journal = {Annales de l'Institut Fourier}, pages = {343--368}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {18}, number = {2}, year = {1968}, doi = {10.5802/aif.305}, mrnumber = {42 #2327}, zbl = {0176.45102}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.305/} }
TY - JOUR AU - Grossmann, A. AU - Loupias, Guy AU - Stein, Elias M. TI - An algebra of pseudo-differential operators and quantum mechanics in phase space JO - Annales de l'Institut Fourier PY - 1968 SP - 343 EP - 368 VL - 18 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.305/ DO - 10.5802/aif.305 LA - en ID - AIF_1968__18_2_343_0 ER -
%0 Journal Article %A Grossmann, A. %A Loupias, Guy %A Stein, Elias M. %T An algebra of pseudo-differential operators and quantum mechanics in phase space %J Annales de l'Institut Fourier %D 1968 %P 343-368 %V 18 %N 2 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.305/ %R 10.5802/aif.305 %G en %F AIF_1968__18_2_343_0
Grossmann, A.; Loupias, Guy; Stein, Elias M. An algebra of pseudo-differential operators and quantum mechanics in phase space. Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 343-368. doi : 10.5802/aif.305. http://www.numdam.org/articles/10.5802/aif.305/
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