# CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ON A BANACH ALGEBRA

• Chang, Seung-Jun (Department of Mathematics, Dankook University) ;
• Choi, Jae-Gil (Department of Mathematics, Dankook University)
• Published : 2004.02.01
• 94 25

#### Abstract

In [10], Chang and Skoug used a generalized Brownian motion process to define a generalized analytic Feynman integral and a generalized analytic Fourier-Feynman transform. In this paper we define the conditional generalized Fourier-Feynman transform and conditional generalized convolution product on function space. We then establish some relationships between the conditional generalized Fourier-Feynman transform and conditional generalized convolution product for functionals on function space that belonging to a Banach algebra.

#### Keywords

generalized Brownian motion process;generalized analytic Feynman integral;conditional generalized analytic Fourier-Feynman transform;conditional generalized convolution product

#### References

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3. A new aspect of the analytic Fourier-Feynman transform and its applications vol.26, pp.1, 2015, https://doi.org/10.1080/10652469.2014.975128
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