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| A Modified Analytic Function Space Feynman Integral of Functionals on Function Space |
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Citation： |
SeungJun CHANG,HyunSoo CHUNG.A Modified Analytic Function Space Feynman Integral of Functionals on Function Space[J].Chinese Annals of Mathematics B,2020,41(1):61~76 |
| Page view： 705
Net amount： 710 |
Authors： |
SeungJun CHANG; HyunSoo CHUNG |
Foundation： |
The work was supported by the research fund of Dankook
University in 2018. |
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| Abstract： |
In this paper, the authors introduce a class of functionals. This
class forms a Banach algebra for the special cases. The main purpose
of this paper is to investigate some properties of the modified
analytic function space Feynman integral of functionals in the
class. Those properties contain various results and formulas which
were not obtained in previous papers. Also, the authors establish
some relationships involving the first variation via the translation
theorem on function space. In particular, the authors establish the
Fubini theorem for the modified analytic function space Feynman
integral which was not obtained in previous researches yet. |
Keywords： |
Generalized Brownian motion process, Modified analytic Feynmanintegral, First variation, Cameron-Storvick type theorem, Fubinitheorem |
Classification： |
60J65, 28C20 |
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