کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415054 1334905 2016 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nevanlinna representations in several variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Nevanlinna representations in several variables
چکیده انگلیسی

We generalize to several variables the classical theorem of Nevanlinna that characterizes the Cauchy transforms of positive measures on the real line. We show that for the Loewner class, a large class of analytic functions that have non-negative imaginary part on the upper polyhalf-plane, there are representation formulae in terms of densely-defined self-adjoint operators on a Hilbert space. We find four different representation formulae and we show that every function in the Loewner class has one of the four representations, corresponding precisely to four different growth conditions at infinity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 270, Issue 8, 15 April 2016, Pages 3000-3046
نویسندگان
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