کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899252 1631543 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Carlson's theorem for different measures
ترجمه فارسی عنوان
قضیه کارلسون برای اقدامات مختلف
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We use an observation of Bohr connecting Dirichlet series in the right half plane C+ to power series on the polydisk to interpret Carlson's theorem about integrals in the mean as a special case of the ergodic theorem by considering any vertical line in the half plane as an ergodic flow on the polytorus. Of particular interest is the imaginary axis because Carlson's theorem for Lebesgue measure does not hold there. In this note, we construct measures for which Carlson's theorem does hold on the imaginary axis for functions in the Dirichlet series analog of the disk algebra A(C+).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 2, 15 October 2018, Pages 1410-1425
نویسندگان
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