Abstract
Let v be a complex measure on R such that and for any c > O. Define a function w by and let u be the Legendre transform of w. Let be the space of generalized functions arising from a white noise space and the function u. It is shown that the Feynman integrand with Albeverio—HØegh-Krohn potential is a generalized function in the space. We give several examples to illustrate the growth functions.
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Asai, N., Kubo, I., Kuo, HH. (2001). Feynman Integrals Associated with Albeverio-Høegh-Krohn and Laplace Transform Potentials. In: Hida, T., Karandikar, R.L., Kunita, H., Rajput, B.S., Watanabe, S., Xiong, J. (eds) Stochastics in Finite and Infinite Dimensions. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0167-0_2
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DOI: https://doi.org/10.1007/978-1-4612-0167-0_2
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