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In the present paper, we evaluate the analytic conditional Fourier-Feynman transforms and convolution products of unbounded function which is the product of the cylinder function and the function in a Banach algebra which is defined on an analogue o Wiener space and useful in the Feynman integration theories and quantum mechanics. We then investigate the inverse transforms of the function with their relationships and finally prove that th analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions, can be expressed in terms of the product of the conditional Fourier-Feynman transforms of each function.
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참고문헌 (17)
참고문헌 신청
Cameron R.H. / 1980 / Some Banach algebras of analytic Feynman integrable functionals / Lecture Notes in Mathematics 798
Chang S.J. / 2000 / The effect of drift on conditional Fourier-Feynman transforms and conditional convolution products / Int. J. Appl. Math. 2(4):505~527
조동현 / 2013 / Conditional Fourier-Feynman transforms and convolutions of unbounded functions on a generalized Wiener space / 대한수학회지 50(5):1105~1127
조동현 / 2013 / A TIME-INDEPENDENT CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT ON AN ANALOGUE OF WIENER SPACE / 호남수학학술지 35(2):179~200
Cho D.H. / A time-dependent conditional Fourier-Feynman transform and convolution product on an analogue of Wiener space
Chang S.J. / 2000 / The effect of drift on conditional Fourier-Feynman transforms and conditional convolution products / Int. J. Appl. Math. 2(4):505~527
조동현 / 2013 / Conditional Fourier-Feynman transforms and convolutions of unbounded functions on a generalized Wiener space / 대한수학회지 50(5):1105~1127
조동현 / 2013 / A TIME-INDEPENDENT CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT ON AN ANALOGUE OF WIENER SPACE / 호남수학학술지 35(2):179~200
Cho D.H. / A time-dependent conditional Fourier-Feynman transform and convolution product on an analogue of Wiener space
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