کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590035 1334928 2015 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moment measures
ترجمه فارسی عنوان
اقدامات لحظه ای
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

With any convex function ψ on a finite-dimensional linear space X such that ψ goes to +∞ at infinity, we associate a Borel measure μ   on X⁎X⁎. The measure μ   is obtained by pushing forward the measure e−ψ(x)dx under the differential of ψ  . We propose a class of convex functions – the essentially-continuous, convex functions – for which the above correspondence is in fact a bijection onto the class of finite Borel measures whose barycenter is at the origin and whose support spans X⁎X⁎. The construction is related to toric Kähler–Einstein metrics in complex geometry, to Prékopa's inequality, and to the Minkowski problem in convex geometry.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 268, Issue 12, 15 June 2015, Pages 3834–3866
نویسندگان
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