A NEW ANALYTIC FOURIER-FEYNMAN TRANSFORM W.R.T. SUBORDINATE BROWNIAN MOTION

被引：0

作者：

El Koufi, Mohamed ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2021年 / 28卷 / 02期

关键词：

subordinate Brownian motion; analytic Fourier-Feynman transform;

D O I：

10.7468/jksmeb.2021.28.2.119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first introduce a new L-p analytic Fourier-Feynman transform with respect to subordinate Brownian motion (AFFTSB), which extends the Fourier-Feynman transform in the Wiener space. We next examine several relationships involving the L-p-AFFTSB, the convolution product, and the gradient operator for several types of functionals.

引用

页码：119 / 142

页数：24

共 21 条

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