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Professor gisiro maruyama, in memoriam

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Probability Theory and Mathematical Statistics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1299))

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List of papers of Gisiro Maruyama

  1. Determination of the jumps of a function by its Fourier series, Tôhoku Math. J. 46 (1939), 68–74.

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  2. Summability of Fourier series, Tôhoku Math. J. 47 (1940), 255–260.

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  3. Interpolation (I), Mem. Fac. Sci. Kyushu Imp. Univ. Ser.A 2 (1942), 205–215 (with T.Kawata).

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  4. Interpolation (II), Mem. Fac. Sci. Kyushu Imp. Univ. Ser.A 3 (1943), 57–65 (with T.Kawata).

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  5. The harmonic analysis of stationary stochastic processes, Mem. Fac. Sci. Kyushu Univ. Ser.A 4 (1949), 45–106.

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  6. On an asymptotic property of a gap sequence, Kodai Math. Sem. Rep. 2 (1950), 31–32.

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  7. Notes on Wiener integrals, Kodai Math. Sem. Rep. 2 (1950), 41–44.

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  8. Note on the arc sine law in the theory of probability, Nat. Sci. Rep. Ochanomizu Univ. 2 (1951), 25–27.

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  9. Some properties of infinitely divisible laws, Rep. Stat. Appl. Res. JUSE. Vol.1, No.3 (1951), 22–27 (with K. Kunisawa).

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  10. Markov processes and stochastic equations, Nat. Sci. Rep. Ochanomizu Univ. 4 (1953), 40–43.

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  11. On the transition probability functions of the Markov process, Nat. Sci. Rep. Ochanomizu Univ. 5 (1954), 10–20.

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  12. On the Poisson distribution derived from independent random walks, Nat. Sci. Rep. Ochanomizu Univ. 6 (1955), 1–6.

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  13. Fourier analytic treatment of some problems on the sums of ramdom variables, Nat. Sci. Rep. Ochanomizu Univ. 6 (1955), 7–24.

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  14. Continuous Markov processes and stochastic equations, Rend. Circ. Mat. Palermo (2), 4 (1955), 48–90.

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  15. Some properties of one-dimensional diffusion processes, Mem. Fac. Sci. Kyushu Univ. Ser.A 11 (1957), 117–141 (with H.Tanaka).

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  16. On the strong Markov property, Mem. Fac. Sci. Kyushu Univ. Ser.A 13 (1959), 17–29.

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  17. Ergodic property of N-dimensional recurrent Markov processes, Mem. Fac. Sci. Kyushu Univ. Ser.A 13 (1959), 157–172 (with H.Tanaka).

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  18. Methods of functional analysis for the convergence of stochastic processes, Seminar on Probability, Vol.4, 1960 (with H. Totoki, in Japanese).

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  19. Infinitely divisible laws derived from independent random walks, Lecture Note at Columbia University, Mathematical Statistics, 1961.

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  20. Trasnsformations of flows, J. Math. Soc. Japan. 18 (1966), 303–330.

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  21. A singular flow with countable Lebesgue spectrum, J. Math. Soc. Japan. 19 (1967), 359–365.

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  22. Infinitely divisible processes, USSR-Japan Symposium on Probability. Habarovsk, August, 1969, Abstract of Cummunications, 240–246.

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  23. Infinitely divisible processes, Teor. Verojatnost. i Primenen. 15 (1970), 3–23 (Theory of Prob. and its Appl. Vol. 15,1–22).

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  24. Some aspects of Ornstein's theory of isomorphism problems in ergodic theory, Publ. R. I. M. S. Kyoto Univ. 7(1972), 511–539.

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  25. Discussion on Professor Ornstein's paper, Ann. of Prob. 1 (1973), 63–64.

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  26. Applications of Ornstein's theory to stationary processes, Proc. Second. Japan-USSR Symp. on Prob. Theory (Kyoto 1972). Lecture Notes in Math. No.330, 304–309, Springer-Verlag, 1973.

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  27. On regularity of linear stationary stochastic differential operators. International Conference on Probability Theory and Mathematical Statistics. Vilnius, 1973, Abstract of Communications, Vol.2, 57–58.

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  28. Nonlinear functionals of Gaussian stationary processes and their applications, Proc. Third Japan-USSR Symp. on Prob. Theory (Tashkent, 1975). Lecture Notes in Math. No.550, 375–378, Springer-Verlag, 1976.

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  29. Applications of the multiplication of the Ito-Wiener expansions to limit theorems, Proc. Japan Acad. Ser.A 58 (1982), 388–390.

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  30. Wiener functionals and probability limit theorems I: The central limit theorems, Osaka J. Math. 22 (1985), 697–732.

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  31. Wiener functionals and probability theorems II: Term-wise multiplication and its application, Hokkaido Math. J. 15 (1986), 405–451.

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  32. Wiener functionals and probability limit theorems III: Asymptotics of the solution of an ordinary SDE associated with a random field accompanied by stationarity and almost-periodicity, Yokohama Math. J. 34 (1986), 91–142.

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  33. Gaussian limit theorems for Wiener functionals, in this volume.

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Authors
  1. H. Tanaka
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Shinzo Watanabe Jurii Vasilievich Prokhorov

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© 1988 Springer-Verlag

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Tanaka, H. (1988). Professor gisiro maruyama, in memoriam. In: Watanabe, S., Prokhorov, J.V. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078456

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  • DOI: https://doi.org/10.1007/BFb0078456

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18814-8

  • Online ISBN: 978-3-540-48187-4

  • eBook Packages: Springer Book Archive

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