Quasi-analyticity in Carleman ultraholomorphic classes
[Quasi-analyticité dans des classes ultraholomorphes de Carleman]
Lastra, Alberto ; Sanz, Javier
Annales de l'Institut Fourier, Tome 60 (2010), p. 1629-1648 / Harvested from Numdam
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Nous donnons une caractérisation pour deux notions différentes de quasi-analyticité dans des classes ultraholomorphes de Carleman en plusieurs variables dans des polysecteurs. En considérant des suites fortement régulières, nous établissons aussi des généralisations du lemme de Watson sous une condition additionnelle reliée à l’index de croissance de la suite.

We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with strongly regular sequences, we establish generalizations of Watson’s Lemma under an additional condition related to the growth index of the sequence.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/aif.2568
Classification:  30D60,  32A38,  32A40
Mots clés: quasi-analyticité, classes de Carleman, développements asymptotiques, lemme de Watson 
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     author = {Lastra, Alberto and Sanz, Javier},
     title = {Quasi-analyticity in Carleman ultraholomorphic classes},
     journal = {Annales de l'Institut Fourier},
     volume = {60},
     year = {2010},
     pages = {1629-1648},
     doi = {10.5802/aif.2568},
     zbl = {1208.30035},
     mrnumber = {2766226},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2010__60_5_1629_0}
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Lastra, Alberto; Sanz, Javier. Quasi-analyticity in Carleman ultraholomorphic classes. Annales de l'Institut Fourier, Tome 60 (2010) pp. 1629-1648. doi : 10.5802/aif.2568. http://gdmltest.u-ga.fr/item/AIF_2010__60_5_1629_0/

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