کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4666353 1345398 2012 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case
چکیده انگلیسی

The notion of topological degree is studied for mappings from the boundary of a relatively compact strictly pseudo-convex domain in a Stein manifold into a manifold in terms of index theory of Toeplitz operators on the Hardy space. The index formalism of non-commutative geometry is used to derive analytic integral formulas for the index of a Toeplitz operator with Hölder continuous symbol. The index formula gives an analytic formula for the degree of a Hölder continuous mapping from the boundary of a strictly pseudo-convex domain.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 231, Issue 1, 10 September 2012, Pages 357–377
نویسندگان
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