In this Note, we establish a strong relationship between tube domains in with convex base and positive definite holomorphic functions. We also give a Laplace transform characterization of convexity.
Dans cette Note, on établit un lien fort entre les domaines tubes à base convexe dans et les fonctions holomorphes définies positives. On donne une caractérisation de la convexité au moyen de la transformée de Laplace.
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@article{CRMATH_2006__343_2_87_0, author = {Loeb, Jean-Jacques and Youssfi, El Hassan}, title = {Fonctions holomorphes d\'efinies positives sur les domaines tubes}, journal = {Comptes Rendus. Math\'ematique}, pages = {87--90}, publisher = {Elsevier}, volume = {343}, number = {2}, year = {2006}, doi = {10.1016/j.crma.2006.06.004}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.06.004/} }
TY - JOUR AU - Loeb, Jean-Jacques AU - Youssfi, El Hassan TI - Fonctions holomorphes définies positives sur les domaines tubes JO - Comptes Rendus. Mathématique PY - 2006 SP - 87 EP - 90 VL - 343 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.06.004/ DO - 10.1016/j.crma.2006.06.004 LA - fr ID - CRMATH_2006__343_2_87_0 ER -
%0 Journal Article %A Loeb, Jean-Jacques %A Youssfi, El Hassan %T Fonctions holomorphes définies positives sur les domaines tubes %J Comptes Rendus. Mathématique %D 2006 %P 87-90 %V 343 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.06.004/ %R 10.1016/j.crma.2006.06.004 %G fr %F CRMATH_2006__343_2_87_0
Loeb, Jean-Jacques; Youssfi, El Hassan. Fonctions holomorphes définies positives sur les domaines tubes. Comptes Rendus. Mathématique, Volume 343 (2006) no. 2, pp. 87-90. doi : 10.1016/j.crma.2006.06.004. http://archive.numdam.org/articles/10.1016/j.crma.2006.06.004/
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