کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617178 | 1339371 | 2012 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A new construction of linear continuous right inverses for the asymptotic Borel map is provided in the framework of general Carleman ultraholomorphic classes in narrow sectors. Such operators were already obtained by V. Thilliez by means of Whitney extension results for non quasianalytic ultradifferentiable classes, due to J. Chaumat and A.M. Chollet, but our approach is completely different, resting on the introduction of a suitable truncated Laplace-type transform. This technique is better suited for a generalization of these results to the several variables setting. Moreover, it closely resembles the classical procedure in the case of Gevrey classes, so indicating the way for the introduction of a concept of summability which generalizes k-summability theory as developed by J.P. Ramis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 2, 15 December 2012, Pages 724-740
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 2, 15 December 2012, Pages 724-740
نویسندگان
Alberto Lastra, Stéphane Malek, Javier Sanz,