학술저널
MULTIPLE L p ANALYTIC GENERALIZED FOURIER–FEYNMAN TRANSFORM ON A FRESNEL TYPE CLASS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 1
-
2006.031 - 21 (21 pages)
- 0
In this paper, we define a class of functional defined on a very general function space C a,b [0, T ] like a Fresnel class of an abstract Wiener space. We then define the multiple L p analytic generalized Fourier–Feynman transform and the generalized convolution product of functionals on function space C a,b [0, T ]. Finally, we establish some relationships between the multiple L p analytic generalized Fourier–Feynman transform and the generalized convolution product for functionals in F(C a,b [0, T ]).
1. Introduction
2. Definitions and preliminaries
3. Transforms and convolutions
4. Multiple L p analytic GFFT and the GCP
(0)
(0)