کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590214 1334941 2014 56 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Products of generalized Nevanlinna functions with symmetric rational functions
ترجمه فارسی عنوان
محصولات توابع نانولینای تعمیم یافته با توابع منطقی متقارن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

New classes of generalized Nevanlinna functions, which under multiplication with an arbitrary fixed symmetric rational function remain generalized Nevanlinna functions, are introduced. Characterizations for these classes of functions are established by connecting the canonical factorizations of the product function and the original generalized Nevanlinna function in a constructive manner. Also, a detailed functional analytic treatment of these classes of functions is carried out by investigating the connection between the realizations of the product function and the original function. The operator theoretic treatment of these realizations is based on the notions of rigged spaces, boundary triplets, and associated Weyl functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 6, 15 March 2014, Pages 3321–3376
نویسندگان
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