- Autor(in)
- Referenz
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10 L. Streit, The Characterization Theorem for Hida Distributions. Generalizations and Applications. to appear in: Stochastic Processes, Physics, and Geometry (S. Albeverio et al., eds.) Singapore: World Scientific (1991)
11 K. Yosida, Functional Analysis. 3rd ed., Berlin, Heidelberg, New York; Springer (1971).
12 S. Albeverio, R. Hoegh-Krohn, Mathematical Theory of Feynman Path Integrals. LNM No. 523. Berlin, Heidelberg, New York: Springer (1976).
1 L. Schulman, Techniques and Applications of Path Integration (Section 8), New York: Wiley (1981)
2 M. de Faria, White Noise Analysis and the Feyman Integral, Univ. da Madeira preprint UMa-Mat 4/91, to appear in Stochastic Processes, Physics, and Geometry (S. Albeverio et al., eds.) Singapore: World Scientific (1991)
3 L. Streit, T. Hida, Generalized Brownian Functionals and the Feynman Integral, Stoch Proc. Appl. 16 (1983) 55
4 D. de Falco, D. C. Khandekar, Stoch. Proc. Appl. 29 (1988) 257
5 D. C. Khandekar, White Noise Analysis as a Tool in Computing Feynman Integrals. In: White Noise Analysis. Mathematics and Applications. (T. Hida et al. eds.) Singapore: World Scientific (1990).
6 M. de Faria, J. Potthoff, L. Streit, The Feynman Integrand as a Hida Distribution, J. Math. Phys. 32 (1991) 2123
7 T. Hida, J. Potthoff, L. Streit, White Noise Analysis and Applications. Mathematics + Physics. Lectures on Recent Results, Vol. 3, (L. Streit, ed.), Singapore: World Scientific (1989).
8 J. Potthoff, L. Streit, A Characterization of Hida Distributions, J. Funct. Anal. 101 (1991) 212
9 Ju. Kondrat'ev, L. Streit: A Remark about a Norm Estimate for White Noise Distributions. University of Madeira preprint (1991) to appear in: Ukrainean Math. J.
- Seitenbereich
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0049 - 0055
- Schlagwort(e)
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<KWD>Stochastic processes
Functional analytical methods
Quantum theory
- Zusammenfsg.
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Recently general conditions have been given which imply the existence of the Feynman integral as a Hida distribution. Here we perform an explicit construction of these distributions for a large class of Schrödinger problems.
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- Forschungsartikel