Keywords
- Hermite Polynomial
- Feynman Path Integral
- White Noise Analysis
- Smooth Test Function
- Brownian Function
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References
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R. P. FEYNMAN: Space-time Approach to Non-relativistic Quantum Mechanics. Review of Modern Physics, 20 (1948), 367–387.
T. HIDA: Analysis of Brownian functionals. Carleton Math. Lecture Notes no. 13, 2nd ed. 1978. Carleton Univ. Ottawa; vol. II to appear 1982.
_____, Brownian Motion. Springer-Verlag, New York 1980, Applications of Math. vol. 11.
_____, Causal Calculus of Brownian Functionals. Statistics and Related Topics, ed. M. Csörgö et al. North-Holland Pub. Co., 1981, pp. 353–360.
_____, Generalized Brownian Functionals. To appear in Proc. IFIP, 1982, Bangalore.
I. KUBO and S. TAKENAKA: Calculus on Gaussian White Noise. I, II, Proc. Japan Academy, 56 (1980), 376–380, 411–416.
L. STREIT and T. HIDA: Generalized Brownian functionals and the Feynman Integrals. To appear in Stochastic Processes and their Applications.
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© 1983 Springer-Verlag
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Streit, L., Hida, T. (1983). White noise analysis and its application to Feynman integral. In: Belley, JM., Dubois, J., Morales, P. (eds) Measure Theory and its Applications. Lecture Notes in Mathematics, vol 1033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099857
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DOI: https://doi.org/10.1007/BFb0099857
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