کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614848 | 1631564 | 2015 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Summability in general Carleman ultraholomorphic classes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A definition of summability is put forward in the framework of general Carleman ultraholomorphic classes in sectors, so generalizing k-summability theory as developed by J.-P. Ramis. Departing from a strongly regular sequence of positive numbers, we construct an associated analytic proximate order and corresponding kernels, which allow us to consider suitable Laplace and Borel-type transforms, both formal and analytic, whose behavior closely resembles that of the classical ones in the Gevrey case. An application to the study of the summability properties of the formal solutions to some moment-partial differential equations is included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 430, Issue 2, 15 October 2015, Pages 1175–1206
Journal: Journal of Mathematical Analysis and Applications - Volume 430, Issue 2, 15 October 2015, Pages 1175–1206
نویسندگان
Alberto Lastra, Stéphane Malek, Javier Sanz,