An analytic bilateral Laplace-Feynman transform on Hilbert space

作者：Chang Seung Jun; Choi Jae Gil^*

来源：International Journal of Mathematics, 2014, 25(13): 1450118.

DOI：10.1142/S0129167X14501183

• Analytic Gauss integral
• analytic Feynman integral
• bilateral Laplace-Gauss transform
• analytic bilateral Laplace-Feynman transform
• analytic Fourier-Feynman transform

In this paper, we examine the analytic bilateral Laplace-Feynman transform (BLFT) for functions on the Hilbert space H. We then proceed to establish a relationship between the analytic BLFT on H and the analytic Fourier-Feynman transform on the abstract Wiener space B.

• 出版日期2014-12