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On the divergence of certain integrals of the Wiener process. (English) Zbl 0275.60088

MSC:
60J99 Markov processes
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References:
[1] H. EZAWA, J. R. KLAUDER and L. A. SHEPP, Vestigial effects of singular potentials in diffusion theory and quantum mechanics. J. Math. Phys., to appear.
[2] K. ITO and H. P. McKEAN, Diffusion processes and their sample paths, Springer (1965). · Zbl 0127.09503
[3] J. R. KLAUDER, Field structure through model studies: aspects of nonrenormalizable theories, Acta Phys. Austriaca, Suppl. XI (1973), 341-387.
[4] F. B. KNIGHT, Existence of small oscillations at zeros of Brownian motion, manuscript. · Zbl 0305.60035
[5] D. RAY, Sojourn times of diffusion processes, Ill. J. Math., 7 (1963), 615-630. · Zbl 0118.13403
[6] L. A. SHEPP, Radon-Nikodym derivatives of Gaussian measures, Ann. Math. Stat., 37 (1966), 321-354. · Zbl 0142.13901
[7] D. E. VARBERG, Equivalent Gaussian measures with a particularly simple Radon-Nikodym derivative, Ann. Math. Stat., 38 (1967), 1027-1030. · Zbl 0171.15702
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