کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665683 1633825 2014 44 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integral geometry of unitary area measures
ترجمه فارسی عنوان
هندسه یکپارچه از منطقه واحد اندازه گیری یک ؟؟
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی

The existence of kinematic formulas for area measures with respect to any connected, closed subgroup of the orthogonal group acting transitively on the unit sphere is established. In particular, the kinematic operator for area measures is shown to have the structure of a co-product. In the case of the unitary group the algebra associated to this co-product is described explicitly in terms of generators and relations. As a consequence, a simple algorithm that yields explicit kinematic formulas for unitary area measures is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 263, 1 October 2014, Pages 1–44
نویسندگان
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