کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4672742 1346590 2016 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Beurling moving averages and approximate homomorphisms
ترجمه فارسی عنوان
چرخاندن میانگین های متحرک و تقارن هومورفیسم ها
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی

The theory of regular variation, in its Karamata and Bojanić–Karamata/de Haan forms, is long established and makes essential use of homomorphisms. Both forms are subsumed within the recent theory of Beurling regular variation, developed further here, especially certain moving averages occurring there. Extensive use of group structures leads to an algebraicization not previously encountered here, and to the approximate homomorphisms of the title. Dichotomy results are obtained: things are either very nice or very nasty. Quantifier weakening is extended, and the degradation resulting from working with limsup and liminf, rather than assuming limits exist, is studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 27, Issue 3, June 2016, Pages 601–633
نویسندگان
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