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

引用

页码：520 / 533

页数：14

共 24 条

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[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (01): : 192 - 216

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