Zhang, Jinping; Mitoma, Itaru; Okazaki, Yoshiaki Submartingale property of set-valued stochastic integration associated with Poisson process and related integral equations on Banach spaces. (English) Zbl 1475.60099 J. Nonlinear Convex Anal. 22, No. 4, 775-799 (2021). MSC: 60H05 26E25 54C65 60G44 65C30 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Nonlinear Convex Anal. 22, No. 4, 775--799 (2021; Zbl 1475.60099) Full Text: arXiv Link
Zhang, Jinping; Mitoma, Itaru; Okazaki, Yoshiaki Set-valued stochastic integrals with respect to Poisson processes in a Banach space. (English) Zbl 1268.60079 Int. J. Approx. Reasoning 54, No. 3, 404-417 (2013). MSC: 60H05 60A86 PDFBibTeX XMLCite \textit{J. Zhang} et al., Int. J. Approx. Reasoning 54, No. 3, 404--417 (2013; Zbl 1268.60079) Full Text: DOI
Li, Shoumei (ed.); Wang, Xia (ed.); Okazaki, Yoshiaki (ed.); Kawabe, Jun (ed.); Murofushi, Toshiaki (ed.); Guan, Li (ed.) Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7–9, 2011. (English) Zbl 1236.00039 Advances in Intelligent and Soft Computing 100. Berlin: Springer (ISBN 978-3-642-22832-2/hbk; 978-3-642-22833-9/ebook). xviii, 710 p. (2011). MSC: 00B25 18-06 28-06 34-06 35-06 37-06 46-06 47-06 60-06 62-06 65-06 90-06 91-06 94-06 00A69 PDFBibTeX XMLCite \textit{S. Li} (ed.) et al., Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7--9, 2011. Berlin: Springer (2011; Zbl 1236.00039) Full Text: DOI
Mitoma, Itaru; Okazaki, Yoshiaki; Zhang, Jinping Set-valued stochastic differential equation in M-type 2 Banach space. (English) Zbl 1331.60098 Commun. Stoch. Anal. 4, No. 2, 215-237 (2010). MSC: 60H05 60B11 46N30 PDFBibTeX XMLCite \textit{I. Mitoma} et al., Commun. Stoch. Anal. 4, No. 2, 215--237 (2010; Zbl 1331.60098)
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki On the solutions of set-valued stochastic differential equations in M-type 2 Banach spaces. (English) Zbl 1198.60027 Tohoku Math. J. (2) 61, No. 3, 417-440 (2009). Reviewer: Toader Morozan (Bucureşti) MSC: 60H25 60H35 26E25 PDFBibTeX XMLCite \textit{J. Zhang} et al., Tôhoku Math. J. (2) 61, No. 3, 417--440 (2009; Zbl 1198.60027) Full Text: DOI
Honda, Aoi; Okazaki, Yoshiaki; Sato, Hiroshi Equivalence of non-negative random translates of an IID random sequence. (English) Zbl 1178.60029 Taiwanese J. Math. 13, No. 1, 269-286 (2009). MSC: 60G30 28C20 60B11 46G12 PDFBibTeX XMLCite \textit{A. Honda} et al., Taiwanese J. Math. 13, No. 1, 269--286 (2009; Zbl 1178.60029) Full Text: DOI
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki On set-valued stochastic integrals in an M-type 2 Banach space. (English) Zbl 1155.60021 J. Math. Anal. Appl. 350, No. 1, 216-233 (2009). MSC: 60H05 60H99 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Math. Anal. Appl. 350, No. 1, 216--233 (2009; Zbl 1155.60021) Full Text: DOI
Honda, Aoi; Okazaki, Yoshiaki; Sato, Hiroshi An \(L_{p}\)-function determines \(\ell_{p}\). (English) Zbl 1142.26314 Proc. Japan Acad., Ser. A 84, No. 3, 39-41 (2008). MSC: 26D10 46A45 60G30 PDFBibTeX XMLCite \textit{A. Honda} et al., Proc. Japan Acad., Ser. A 84, No. 3, 39--41 (2008; Zbl 1142.26314) Full Text: DOI Euclid
Honda, Aoi; Okazaki, Yoshiaki; Sato, Hiroshi Absolute continuity of discrete one-sided random translation. (English) Zbl 1073.60046 Kato, Mikio (ed.) et al., Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2–4, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-14-6/pbk). 225-241 (2004). MSC: 60G30 28C20 46G12 PDFBibTeX XMLCite \textit{A. Honda} et al., in: Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2--4, 2003. Yokohama: Yokohama Publishers. 225--241 (2004; Zbl 1073.60046)
Honda, Aoi; Okazaki, Yoshiaki The equivalence of the Rademacher translations of an infinite product measure. (English) Zbl 0884.60035 Bull. Kyushu Inst. Technol., Math. Nat. Sci. 44, 33-44 (1997). Reviewer: R.Norvaiša (Vilnius) MSC: 60G30 PDFBibTeX XMLCite \textit{A. Honda} and \textit{Y. Okazaki}, Bull. Kyushu Inst. Technol., Math. Nat. Sci. 44, 33--44 (1997; Zbl 0884.60035)
Chae, Hong Chul; Handa, Kenji; Mitoma, Itaru; Okazaki, Yoshiaki Invariant nuclear space of a second quantization operator. (English) Zbl 0842.46002 Hiroshima Math. J. 25, No. 3, 541-559 (1995). MSC: 46A11 60H10 60F05 PDFBibTeX XMLCite \textit{H. C. Chae} et al., Hiroshima Math. J. 25, No. 3, 541--559 (1995; Zbl 0842.46002)
Okazaki, Yoshiaki; Takahashi, Yasuji The converse of Minlos’ theorem. (English) Zbl 0834.60009 Publ. Res. Inst. Math. Sci. 30, No. 5, 851-863 (1994). Reviewer: V.Tarieladze (Tbilisi) MSC: 60B11 28C20 28C99 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, Publ. Res. Inst. Math. Sci. 30, No. 5, 851--863 (1994; Zbl 0834.60009) Full Text: DOI
Okazaki, Yoshiaki; Sato, Hiroshi Distinguishing a sequence of random variables from a random translate of itself. (English) Zbl 0805.60038 Ann. Probab. 22, No. 2, 1092-1096 (1994). MSC: 60G30 28C20 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{H. Sato}, Ann. Probab. 22, No. 2, 1092--1096 (1994; Zbl 0805.60038) Full Text: DOI
Okazaki, Yoshiaki The converse of Minlos’ theorem. (Japanese) Zbl 1126.60304 Yamasaki, Yasuo (ed.), Measure theory on infinite-dimensional spaces, representations of infinite-dimensional groups, and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, May 17–19, 1994. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. RIMS Kôkyûroku 887, 141-150 (1994). MSC: 60B11 PDFBibTeX XMLCite \textit{Y. Okazaki}, in: Measure theory on infinite-dimensional spaces, representations of infinite-dimensional groups, and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, May 17--19, 1994. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. 141--150 (1994; Zbl 1126.60304)
Okazaki, Yoshiaki On equivalence of product measure by symmetric random \(l_ 4\)- translation. (English) Zbl 0777.60016 J. Funct. Anal. 115, No. 1, 100-103 (1993). Reviewer: J.G.Székely (Bowling Green) MSC: 60E05 PDFBibTeX XMLCite \textit{Y. Okazaki}, J. Funct. Anal. 115, No. 1, 100--103 (1993; Zbl 0777.60016) Full Text: DOI
Okazaki, Yoshiaki; Takahashi, Yasuji 0-1 laws for kernels of a linear uniform measure. (English) Zbl 0641.28009 Hokkaido Math. J. 16, 223-234 (1987). Reviewer: Y.Okazaki MSC: 28C20 60F20 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, Hokkaido Math. J. 16, 223--234 (1987; Zbl 0641.28009) Full Text: DOI
Okazaki, Yoshiaki; Takahashi, Yasuji The ergodicity of the convolution \(\mu\) *\(\nu\) on a vector space. (English) Zbl 0631.28005 Publ. Res. Inst. Math. Sci. 23, No. 4, 727-730 (1987). MSC: 28C20 46G12 28C10 60B11 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, Publ. Res. Inst. Math. Sci. 23, No. 4, 727--730 (1987; Zbl 0631.28005) Full Text: DOI
Okazaki, Yoshiaki; Takahashi, Yasuji Nuclear subspace of \(L^ 0\) and the kernel of a linear measure. (English) Zbl 0626.60008 J. Multivariate Anal. 22, 65-73 (1987). Reviewer: S.D.Chatterji MSC: 60B11 28C20 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, J. Multivariate Anal. 22, 65--73 (1987; Zbl 0626.60008) Full Text: DOI
Okazaki, Y.; Takahashi, Y. Separating kernel of cylindrical measure. (English) Zbl 0623.60008 Stat. Probab. Lett. 5, 397-399 (1987). Reviewer: D.Plachky MSC: 60B10 28C05 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, Stat. Probab. Lett. 5, 397--399 (1987; Zbl 0623.60008) Full Text: DOI
Takahashi, Yasuji; Okazaki, Yoshiaki 0-1 laws of a probability measure on a locally convex space. (English) Zbl 0605.60040 Publ. Res. Inst. Math. Sci. 22, 97-102 (1986). Reviewer: D.Plachky MSC: 60F20 60B05 PDFBibTeX XMLCite \textit{Y. Takahashi} and \textit{Y. Okazaki}, Publ. Res. Inst. Math. Sci. 22, 97--102 (1986; Zbl 0605.60040) Full Text: DOI
Okazaki, Yoshiaki; Takahashi, Yasuji Accessible cylindrical measure and Bochner’s theorem. (English) Zbl 0589.46035 J. Funct. Anal. 67, 115-125 (1986). MSC: 46G12 28C20 60B11 PDFBibTeX XMLCite \textit{Y. Okazaki} and \textit{Y. Takahashi}, J. Funct. Anal. 67, 115--125 (1986; Zbl 0589.46035) Full Text: DOI
Okazaki, Yoshiaki Equivalent-singular dichotomy for quasi-invariant ergodic measures. (English) Zbl 0582.60004 Ann. Inst. Henri Poincaré, Probab. Stat. 21, 393-400 (1985). Reviewer: A.Janssen MSC: 60B05 60E07 PDFBibTeX XMLCite \textit{Y. Okazaki}, Ann. Inst. Henri Poincaré, Probab. Stat. 21, 393--400 (1985; Zbl 0582.60004) Full Text: Numdam EuDML
Okazaki, Yoshiaki Bochner’s theorem in measurable dual of type 2 Banach space. (English) Zbl 0575.60001 Ann. Probab. 13, 1022-1023 (1985). MSC: 60B05 46B20 PDFBibTeX XMLCite \textit{Y. Okazaki}, Ann. Probab. 13, 1022--1023 (1985; Zbl 0575.60001) Full Text: DOI
Okazaki, Yoshiaki Continuous approximation of random function. (English) Zbl 0515.60007 J. Math. Anal. Appl. 93, 397-399 (1983). MSC: 60B05 60A10 PDFBibTeX XMLCite \textit{Y. Okazaki}, J. Math. Anal. Appl. 93, 397--399 (1983; Zbl 0515.60007) Full Text: DOI
Okazaki, Yoshiaki Orthogonal expansions of vectors in a Hilbert space for non-Gaussian measures. (English) Zbl 0501.60010 Proc. Am. Math. Soc. 86, 638-640 (1982). MSC: 60B11 PDFBibTeX XMLCite \textit{Y. Okazaki}, Proc. Am. Math. Soc. 86, 638--640 (1982; Zbl 0501.60010) Full Text: DOI
Okazaki, Yoshiaki Bochner problem on a topological vector space with a quasi-invariant measure. (English) Zbl 0467.46034 Proc. Japan Acad., Ser. A 57, 25-28 (1981). MSC: 46G12 28C20 60B11 47B10 PDFBibTeX XMLCite \textit{Y. Okazaki}, Proc. Japan Acad., Ser. A 57, 25--28 (1981; Zbl 0467.46034) Full Text: DOI
Okazaki, Yoshiaki Bochner’s theorem on measurable linear functionals of a Gaussian measure. (English) Zbl 0458.28014 Ann. Probab. 9, 663-664 (1981). MSC: 28C20 60B05 47B10 46B20 PDFBibTeX XMLCite \textit{Y. Okazaki}, Ann. Probab. 9, 663--664 (1981; Zbl 0458.28014) Full Text: DOI
Okazaki, Yoshiaki Wiener integral by stable random measure. (English) Zbl 0407.60062 Mem. Fac. Sci., Kyushu Univ., Ser. A 33, 1-70 (1979). MSC: 60H05 60B05 PDFBibTeX XMLCite \textit{Y. Okazaki}, Mem. Fac. Sci., Kyushu Univ., Ser. A 33, 1--70 (1979; Zbl 0407.60062) Full Text: DOI
Okada, Susumu; Okazaki, Yoshiaki On measure-compactness and Borel measure-compactness. (English) Zbl 0434.28012 Osaka J. Math. 15, 183-191 (1978). MSC: 28C15 60B05 PDFBibTeX XMLCite \textit{S. Okada} and \textit{Y. Okazaki}, Osaka J. Math. 15, 183--191 (1978; Zbl 0434.28012)
Sato, Hiroshi; Okazaki, Yoshiaki Separabilities of a Gaussian Radon measure. (English) Zbl 0362.60015 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 11, 287-298 (1975). MSC: 60B05 60G15 PDFBibTeX XMLCite \textit{H. Sato} and \textit{Y. Okazaki}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 11, 287--298 (1975; Zbl 0362.60015) Full Text: Numdam EuDML