کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904909 1633760 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic and geometric aspects of rational Γ-inner functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Algebraic and geometric aspects of rational Γ-inner functions
چکیده انگلیسی
The setG=def{(z+w,zw):|z|<1,|w|<1}⊂C2 has intriguing complex-geometric properties; it has a 3-parameter group of automorphisms, its distinguished boundary is a ruled surface homeomorphic to the Möbius band and it has a special subvariety which is the only complex geodesic of G that is invariant under all automorphisms. We exploit the geometry of G to develop an explicit and detailed structure theory for the rational maps from the unit disc to the closure Γ of G that map the boundary of the disc to the distinguished boundary of Γ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 328, 13 April 2018, Pages 133-159
نویسندگان
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