کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616981 1339364 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hilbert spaces of entire Dirichlet series and composition operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hilbert spaces of entire Dirichlet series and composition operators
چکیده انگلیسی

The aim of this paper is to introduce Hilbert spaces of entire Dirichlet series with real frequencies and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as to have finite logarithmic orders. This allows us to apply the Polya theorem on composition of entire functions to consideration of composition operators on the Hilbert spaces of entire Dirichlet series. In particular, criteria for action, boundedness, compactness and compact difference of such operators are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 416–429
نویسندگان
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