کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607976 1337894 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpolation by hypercyclic functions for differential operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Interpolation by hypercyclic functions for differential operators
چکیده انگلیسی
We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed values at the points of the sequence and, simultaneously, having dense orbit in the space of holomorphic functions on Ω. The orbit is taken with respect to any fixed nonscalar differential operator generated by an entire function of subexponential type, thereby extending a recent result about MacLane-hypercyclicity due to Costakis, Vlachou and Niess.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 157, Issue 2, April 2009, Pages 134-143
نویسندگان
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