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This work consists two parts. In the first part, we completely study the heat equation method of Menikoff-Sjöstrand and apply it to the Kohn Laplacian defined on a compact orientable connected CR manifold. We then get the full asymptotic expansion of the Szegő projection for
Ce travail comporte deux parties. Dans la première, nous appliquons la méthode de Menikoff-Sjöstrand au laplacien de Kohn, défini sur une varieté CR compacte orientée connexe et nous obtenons un développement asymptotique complet du projecteur de Szegő pour les
@book{MSMF_2010_2_123__1_0,
author = {Hsiao, Chin-Yu},
title = {Projections in several complex variables},
series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
publisher = {Soci\'et\'e math\'ematique de France},
number = {123},
year = {2010},
doi = {10.24033/msmf.435},
mrnumber = {2780123},
zbl = {1229.32002},
language = {en},
url = {https://geodesic-test.mathdoc.fr/item/MSMF_2010_2_123__1_0/}
}
TY - BOOK AU - Hsiao, Chin-Yu TI - Projections in several complex variables T3 - Mémoires de la Société Mathématique de France PY - 2010 IS - 123 PB - Société mathématique de France UR - https://geodesic-test.mathdoc.fr/item/MSMF_2010_2_123__1_0/ DO - 10.24033/msmf.435 LA - en ID - MSMF_2010_2_123__1_0 ER -
Hsiao, Chin-Yu. Projections in several complex variables. Mémoires de la Société Mathématique de France, Série 2, no. 123 (2010), 144 p. doi : 10.24033/msmf.435. https://geodesic-test.mathdoc.fr/item/MSMF_2010_2_123__1_0/
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