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We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra ${\mathcal S}(L_{a,b}^2[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.
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참고문헌 (21)
참고문헌 신청
B.J. Kim / 2014 / Change of scale formulas for Wiener integrals related with Fourier-Feynman transform and convolution / J. Function Spaces 2014 : 1 ~ 7
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
G.W. Johnson / 1979 / Scale-invariant measurability in Wiener space / Paciic J. Math 83 : 157 ~ 176
I. Yoo / 1994 / A change of scale formula for Wiener integrals on abstract Wiener spaces / Internat. J. Math. Math. Sci 17 : 239 ~ 248
I. Yoo / 1994 / A change of scale formula for Wiener integrals on abstract Wiener spaces II / J. Korean Math. Soc 31 : 115 ~ 129
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
G.W. Johnson / 1979 / Scale-invariant measurability in Wiener space / Paciic J. Math 83 : 157 ~ 176
I. Yoo / 1994 / A change of scale formula for Wiener integrals on abstract Wiener spaces / Internat. J. Math. Math. Sci 17 : 239 ~ 248
I. Yoo / 1994 / A change of scale formula for Wiener integrals on abstract Wiener spaces II / J. Korean Math. Soc 31 : 115 ~ 129
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