کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9495945 | 1335202 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differential calculus for Dirichlet forms: The measure-valued gradient preserved by image
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Differential calculus for Dirichlet forms: The measure-valued gradient preserved by image Differential calculus for Dirichlet forms: The measure-valued gradient preserved by image](/preview/png/9495945.png)
چکیده انگلیسی
In order to develop a differential calculus for error propagation of Bouleau [Error Calculus for Finance and Physics, the Language of Dirichlet forms, De Gruyter, Berlin, 2003], we study local Dirichlet forms on probability spaces with carré du champ Î-i.e. error structures-and we are looking for an object related to Î which is linear and with a good behaviour by images. For this we introduce a new notion called the measure-valued gradient which is a randomized square root of Î. The exposition begins with inspecting some natural notions candidate to solve the problem before proposing the measure-valued gradient and proving its satisfactory properties.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 225, Issue 1, 1 August 2005, Pages 63-73
Journal: Journal of Functional Analysis - Volume 225, Issue 1, 1 August 2005, Pages 63-73
نویسندگان
Nicolas Bouleau,