Some relationships for the double modified generalized analytic function space Fourier-Feynman transform and its applications

被引：0
|
作者：
Chang, Seung Jun [1 ]
Choi, Jae Gil [1 ]
Chung, Hyun Soo [1 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 04期
关键词：
Generalized Brownian motion process; double modified analytic function space Fourier-Feynman transform; Fubini theorem; diffusion equation; Feynman-Kac formula; Schrodinger equation; Banach algebra; CONVOLUTIONS;
D O I：
10.1002/mana.201500369
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we first introduce the concept of a double modified analytic function space Fourier-Feynman transform using the double modified analytic function space integral. We then proceed to establish the existence of the modified analytic function space Fourier-Feynman transform for all functionals in the Banach algebra. Finally we use this double modified analytic function space transform to explain various physical phenomenon. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：520 / 533
页数：14
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