Kyushu University Academic Staff Educational and Research Activities Database
List of Papers
Setsuo Taniguchi Last modified date:2020.05.11

Professor / Division for Theoretical Natural Science / Faculty of Arts and Science


Papers
1. Setsuo Taniguchi, An application of the partial Malliavin calculus to Baouendi-Grushin operators, Kyushu Journal of Mathematics, 10.2206/kyushujm.73.417, 73, 2, 417-431, 2019.08.
2. Satoru Uchida, Keiko Shimojo, Tomoaki Watanabe, Shingo Saito,Setsuo Taniguchi, Vocabulary comparison in works of American prose: An intrdisciplinary analysis using Word2vec, Studies in English Language and Literature, 68, 71-84, 2018.03.
3. Yuzuru Inahama, Setsuo Taniguchi, Short time full asymptotic expansion of hypoelliptic heat kernel at the cut locus, Forum of Mathematics, Sigma, 10.1017/fms.2017.14, 5, 2017.07.
4. Setsuo Taniguchi, A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications, Jour. Math. Soc. Japan, 10.2969/jmsj/06910111, 69, 1, 111-125, 2017.01.
5. Setsuo Taniguchi, A new class of amplitude functions for the stationary phase method on an abstract Wiener space, Kyushu Jour. Math., 10.2206/kyushujm.69.219, 69, 219-228, 2015.03.
6. Hiroki Kondo, Shingo Saito, and Setsuo Taniguchi, Asymptotic tail dependence of the normal copula, Jour. Math-for-Industry, 4, 73-78, 2012.04.
7. Nobuyuki Ikeda and Setsuo Taniguchi, Euler polynomials, Bernoulli polynomials, and Lévy’s stochastic area formula, Bull. Sci. math., 10.1016/j.bulsci.2011.07.009, 135, 684–694, 2011.09.
8. Takehiro Hirotsu, Hiroki Kondo, Shingo Saito, Takuya Sato, Tatsushi Tanaka, and Setsuo Taniguchi, Anderson-Darling test and the Malliavin calculus, Journal of Math-for-Industry, 3, 73-78, 2011.04.
9. Nobuyuki Ikeda, Setsuo Taniguchi, The Itô-Nisio theorem, quadratic Wiener functionals, and 1-solitons, Stochastic Processes and their Applications , 10.1016/j.spa.2010.01.009, 120, 605-621, 2010.02.
10. Setsuo Taniguchi, A Wiener integral approach to non-commutative harmonic oscillators, Kyushu Jour. Math. , 63-2, 347-352., 2009.09.
11. Takehiro Hirotsu and Setsuo Taniguchi, The random walk model revisited , Journal of Math-for-Industry, 2009A, 1-6, 2009.04.
12. Setsuo Taniguchi, Quadratic Wiener functionals of square norms on measure spaces, Communications on Stochastic Analysis, Vol.2, No.1, 11-26, 2008.04.
13. Setsuo Taniguchi, The heat semigroup and kernel associated with certain non-commutative haramonic oscillators, Kyushu Jour. Math., 62-1 (2008), 63-68.
, 2008.03.
14. Setsuo Taniguchi, Stochastic calculus and the KdV equation , "Stochastic Analysis and Partial Differential equations", Contemp. Math., 429 (2007), 245-256., 2007.05.
15. Setsuo Taniguchi, On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function, Kyushu Jour. Mathematics, 61-1, 191-208, 2007.03.
16. Setsuo Taniguchi, On the Quadratic Wiener Functional Associated with the Malliavin Derivative of the Square Norm of Brownian Sample Path on Interval, Electron. Comm. Probab, 11, 1-10, 2006.01.
17. Setsuo Taniguchi, Brownian sheet and reflectionless potentials, Stoch. Pro. Appl, 116-2, 293-309, 2006.01.
18. N. Ikeda、S.Taniguchi, Quadratic Wiener functionals, Kalman-Bucy filters, and the KdV equation, Advanced Study in Pure Math., 41, p167--187, 2004.01.
19. Setsuo Taniguchi, Stochastic oscillatory integrals: Asymptotics and exact expressions for quadratic phase function, Stochstic analysis and mathematical physics (SAMP/ANESTOC 2002)", ed. R. Rebolledo, J. Resende, and J.-C. Zambrini, 10.1142/9789812702364_0008, 165-181, 165-181, 2004.01.
20. Setsuo Taniguchi, On Wiener functionals of order 2 associated with soliton solutions of the KdV equation, Stochstic analysis and mathematical physics (SAMP/ANESTOC 2002)", ed. R. Rebolledo, J. Resende, and J.-C. Zambrini, 165-181, 2004.01.
21. Setsuo Taniguchi, Exponential decay of stochastic oscillatory integrals on classical Wiener spaces, Journal of Mathematical Society of Japan, 10.2969/jmsj/1196890842, 55, 1, 59-79, Vol. 55, no.1, 59--79, 2003.01.
22. Setsuo Taniguchi, Hiroyuki Matsumoto, Wiener functionals of second order and their Levy measures, Electronic Journal of Probability, Vol. 7, No. 14, 1--30, 2002.01.
23. Setsuo Taniguchi, A.-B. Cruzeiro, and P. Malliavin, Ground state estimations in gauge theory, Bulletin des Sciences Mathematiques, 10.1016/S0007-4497(01)01102-2, 125, 6-7, 623-640, Vol. 125, no. 6-7, 623--640, 2001.01.
24. Setsuo Taniguchi, Analytic functions on abstract Wiener spaces, Journal of Functional Analysis, 10.1006/jfan.2000.3676, 179, 1, 235-250, Vol. 179, no. 1, 235--250, 2001.01.
25. Setsuo Taniguchi, Levy's stochastic area and the principle of stationary phase, Journal of Functional Analysis, 10.1006/jfan.1999.3540, 172, 1, 165-176, Vol. 172, no. 1, 165--176, 2000.01.
26. Setsuo Taniguchi, Stochastic oscillatory integrals with quadratic phase function and Jacobi equations, Probability Theory and Related Fields, 10.1007/s004400050227, 114, 3, 291-308, Vol. 114, no. 3, 291--308, 1999.01.
27. Daniel W. Stroock and Setsuo Taniguchi, Diffusions as integral curves on manifolds and Lie groups, "Probability theory and mathematical statistics (St. Petersburg, 1993)", 219-226, 1996.01.
28. Setsuo Taniguchi, On the analyticity of stochastic flows, Osaka Journal of Mathematics, 36, 1, 139-148, Vol. 36, no. 1, 139--148, 1999.01.
29. Setsuo Taniguchi, Hiroshi Sugita, A remark on stochastic oscillatory integrals with respect to a pinned Wiener measure, Kyushu Journal of Mathematics, Vol. 53, no. 1, 151--162, 1999.01.
30. Setsuo Taniguchi, Hiroshi Sugita, Oscillatory integrals with quadratic phase function on a real abstract Wiener space, Journal of Functional Analysis, 10.1006/jfan.1997.3223, 155, 1, 229-262, Vol. 155, no. 1, 229--262., 1998.01.
31. Setsuo Taniguchi, On the exponential decay of oscillatory integrals on an abstract Wiener space, Journal of Functional Analysis, 10.1006/jfan.1997.3185, 154, 2, 424-443, Vol. 154 no. 2, 424--443, 1998.01.
32. Paul Malliavin and Setsuo Taniguchi, Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space, J. Funct. Anal., 10.1006/jfan.1996.2989, 143, 2, 470-528, 143-2, 470-528, 1997.01.
33. Ichiro Shigekawa and Setsuo Taniguchi, A Kahler metric on a based loop group and a covariant differentiation, in "Ito's stochastic calculus and probability theory", 327--346, 1996.01.
34. Setsuo Taniguchi, Almost complex structures on path groups, in "Stochastic analysis and applications (Powys, 1995)", 419--428, 1996.01.
35. Setsuo Taniguchi, On Ricci curvatures of hypersurfaces in abstract Wiener spaces, J. Funct. Anal., 10.1006/jfan.1996.0028, 136, 1, 226-244, 136-1, 226-244, 1996.01.
36. Yukio Ogura and Setsuo Taniguchi, A probabilistic scheme for collapse of metrics, J. Math. Kyoto Univ., 36, 1, 73-92, 36-1, 73-92, 1996.01.
37. Setsuo Taniguchi, On almost complex structures on abstract Wiener spaces, Osaka J. Math., 33, 1, 189-206, 33-1, 189-206, 1996.01.
38. Setsuo Taniguchi, Holomorphic functions on balls in an almost complex abstract Wiener space, J. Math. Soc. Japan, 10.2969/jmsj/04740655, 47, 4, 655-670, 47-4, 655-670, 1995.01.
39. Daniel W. Stroock and Setsuo Taniguchi, Diffusions as integral curves, or Stratonovich without Ito, in "The Dynkin Festschrift", 333--369, 1994.01.
40. Shigeo Kusuoka and Setsuo Taniguchi, Pseudoconvex domains in almost complex abstract Wiener spaces, J. Funct. Anal., 10.1006/jfan.1993.1123, 117, 1, 62-117, 117-1, 62-117, 1993.01.
41. Ichiro Shigekawa and Setsuo Taniguchi, Dirichlet forms on separable metric spaces, in "Probability theory and mathematical statistics (Kiev, 1991)", 324-353, 1992.01.
42. Masatoshi Fukushima, Ken-ichi Sato, and Setsuo Taniguchi, On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures, Osaka J. Math., 28, 3, 517-535, 28-3, 517-535, 1991.01.
43. Setsuo Taniguchi, The explosion property of holomorphic diffusion processes on a bounded pseudoconvex domain in Cn and its applications, J. Math. Kyoto Univ., 31, 2, 573-582, 31-2, 573-582, 1991.01.
44. Setsuo Taniguchi, On the Šilov boundary of a pseudoconvex domain in Cn with C2+α boundary, J. Funct. Anal., 10.1016/0022-1236(91)90053-8, 99, 1, 100-109, 99-1, 100-109, 1991.01.
45. Setsuo Taniguchi, Stochastic flows of diffeomorphisms on an open set in Rn, Stoch. Stoch. Rep., 28-4, 301-315, 1989.01.
46. Setsuo Taniguchi, Explosion problem for holomorphic diffusion processes and its applications, Osaka J. Math., 26, 4, 931-951, 26-4, 931-951, 1989.01.
47. Setsuo Taniguchi, Kähler diffusion processes associated with the Bergman metric and domains of holomorphy, , Proc. Japan Acad. Ser. A, Math. Sci., 64-6, 184-186, 1988.01.
48. Setsuo Taniguchi, Conformal martingale diffusions and Shilov boundary, in "Potential theory and its related fields", ,RIMS Kyoto Univ. Kokyuro, 610, 145-156, 1987.01.
49. Hiroshi Kaneko and Setsuo Taniguchi, A stochastic approach to the Silov boundary, J. Funct. Anal., 10.1016/0022-1236(87)90032-2, 74, 2, 415-429, 74-2, 415-429, 1987.01.
50. Daniel W. Stroock and Setsuo Taniguchi, Regular points for the first boundary value problem associated with degenerate elliptic operators, in "Probability theory and harmonic analysis (Cleveland, Ohio, 1983)", 183--194, 1986.01.
51. Nobuyuki Ikeda, Ichiro Shigekawa, and Setsuo Taniguchi, The Malliavin calculus and long time asymptotics of certain Wiener integrals, , in "Miniconference on linear analysis and function spaces (Canberra, 1984)", Proc. Centre Math. Anal. Austral. Nat. Univ., 9, 46-113, 1985.01.
52. Setsuo Taniguchi, Applications of Malliavin's calculus to time-dependent systems of heat equations, Osaka J. Math., 22, 2, 307-320, 22-2, 307-320, 1985.01.
53. Setsuo Taniguchi, Malliavin's stochastic calculus of variations for manifold-valued Wiener functionals and its applications, Z. Wahrsch. Verw. Gebiete, 10.1007/BF00532483, 65, 2, 269-290, 65-2, 269-290, 1983.01.