Dans cette Note, on établit un lien fort entre les domaines tubes à base convexe dans
In this Note, we establish a strong relationship between tube domains in
Accepté le :
Publié le :
Jean-Jacques Loeb 1 ; El Hassan Youssfi 2
@article{CRMATH_2006__343_2_87_0, author = {Jean-Jacques Loeb and El Hassan Youssfi}, 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}, }
Jean-Jacques Loeb; El Hassan Youssfi. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.06.004/
[1] Bochner and Schoenberg theorems on symmetric spaces in the complex case, Bull. Soc. Math. France, Volume 122 (1994) no. 4, pp. 571-590
[2] Introduction to Potential Theory, Robert E. Kreiger Publ. Co., Huntington, NY, 1975
[3] An Introduction to Complex Analysis in Several Variables, North-Holland, Amsterdam, 1973
[4] Notions of Convexity, Birkhäuser, Boston, 1994
[5] Harmonic analysis on conelike bodies and holomorphic functions on tube domains, J. Funct. Anal., Volume 155 (1998), pp. 381-435
- Positive-definiteness and integral representations for special functions, Positivity, Volume 25 (2021) no. 2, p. 731 | DOI:10.1007/s11117-020-00784-4
- The measure transition problem for meromorphic polar functions, Analysis and Mathematical Physics, Volume 10 (2020) no. 4 | DOI:10.1007/s13324-020-00408-w
- Complex Positive Definite Functions on Strips, Complex Analysis and Operator Theory, Volume 11 (2017) no. 3, p. 627 | DOI:10.1007/s11785-015-0527-y
Cité par 3 documents. Sources : Crossref
Commentaires - Politique