LIST OF MATHEMATICAL PAPERS

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LIST OF MATHEMATICAL PAPERS 1961 1999 [1] K. Sato (1961) Integration of the generalized Kolmogorov-Feller backward equations. J. Fac. Sci. Univ. Tokyo, Sect. I, Vol. 9, 13 27. [2] K. Sato, H. Tanaka (1962) Local times on the boundary for multi-dimensional reflecting diffusion. Proc. Japan Acad., Vol. 38, 699-702. [3] M. Nagasawa, K. Sato (1962) Remarks to The adjoint processes of diffusions with reflecting barrier. Kôdai Math. Sem. Rep., Vol. 14, 119 122. [4] K. Sato (1963) Time change and killing for multi-dimensional reflecting diffusion. Proc. Japan Acad., Vol. 39, 69 73. [5] M. Nagasawa, K. Sato (1963) Some theorems on time change and killing of Markov processes. Kôdai Math. Sem. Rep., Vol. 15, 195 219. [6] N. Ikeda, M. Nagasawa, K. Sato (1964) A time reversion of Markov processes with killing. Kôdai Math. Sem. Rep., Vol. 16, 88 97. [7] K. Sato, T. Ueno (1965) Multi-dimensional diffusion and the Markov process on the boundary. J. Math. Kyoto Univ., Vol. 4, 529 605. [8] K. Sato (1965) A decomposition of Markov processes. J. Math. Soc. Japan, Vol. 17, 219 243. [9] K. Sato (1968) On the generators of nonnegative contraction semigroups in Banach lattices. J. Math. Soc. Japan, Vol. 20, 423 436. [10] K. Gustafson, K. Sato (1969) Some perturbation theorems for nonnegative contraction semigroups. J. Math. Soc. Japan, Vol. 21, 200 204. [11] K. Sato (1970) Lévy measures for a class of Markov processes in one dimension. Trans. Amer. Math. Soc., Vol. 148, 211 231. [12] K. Sato (1970) Positive pseudo-resolvents in Banach lattices. J. Fac. Sci. Univ. Tokyo, Sec. I, Vol. 17, 305 313. [13] K. Sato (1970) On dispersive operators in Banach lattices. Pacific J. Math., Vol. 33, 429 443. [14] K. Sato (1972) A note on nonlinear dispersive operators. J. Fac. Sci. Univ. Tokyo, Sec. IA, Vol. 18, 465 473. [15] K. Sato (1972) Potential operators for Markov processes. Proc. Sixth Berkeley Symp. Math. Statist. Probab. (ed. L. M. Le Cam et al., Univ. California Press, Berkeley), Vol. 3, 193 211. 1

[16] K. Sato (1972) A note on infinitesimal generators and potential operators of contraction semigroups. Proc. Japan Acad., Vol. 48, 450 453. [17] K. Sato (1972) Cores of potential operators for processes with stationary independent increments. Nagoya Math. J., Vol. 48, 129 145. [18] K. Sato (1973) A note on infinitely divisible distribiutions and their Lévy measures. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A, Vol. 12, 101 109. [19] K. Sato (1976) Asymptotic properties of eigenvalues of a class of Markov chains induced by direct product branching processes. J. Math. Soc. Japan, Vol. 28, 192 211. [20] K. Sato (1976) Diffusion processes and a class of Markov chains related to population genetics. Osaka J. Math., Vol. 13, 631 659. [21] K. Sato (1976) A class of Markov chains related to selection in population genetics. J. Math. Soc. Japan, Vol. 28, 621 637. [22] K. Sato (1976) Convergence to diffusion processes for a class of Markov chains related to population genetics. Proc. Third Japan-USSR Symp. on Prob. Th. (ed. G. Maruyama and J. V. Prokhorov, Lect. Notes in Math., No. 550, Springer, Berlin), 550 561. [23] K. Sato (1977) A note on convergence of probability measures on C and D. Ann. Sci. Kanazawa Univ., Vol. 14, 1 5. [24] K. Sato, M. Yamazato (1978) On distribution functions of class L. Zeit. Wahrsch. Verw. Gebiete, Bd. 43, 273 308. [25] K. Sato (1978) Convergence of a class of Markov chains to multi-dimensional degenerate diffusion processes. Proc. Internat. Symp. on Stoch. Diff. Eq., Kyoto, 1976 (ed. K. Itô, Kinokuniya, Tokyo), 367 383. [26] K. Sato (1978) Convergence to a diffusion of a multi-allelic model in population genetics. Adv. Appl. Probab., Vol. 10, 538 562. [27] K. Sato (1978) Urbanik s class L m of probability measures. Ann. Sci. Kanazawa Univ., Vol. 15, 1 10. [28] K. Sato (1978) Diffusion operators in population genetics and convergence of Markov chains. Measure Theory, Applications to Stoch. Analysis (ed. G. Kallianpur and D. Kölzow, Lect. Notes in Math., No. 695, Springer, Berlin), 127 137. [29] K. Sato (1979) On densities of multivariate distributions of class L. Ann. Sci. Kanazawa Univ., Vol. 16, 1 9. 2

[30] K. Sato (1980) Class L of multivariate distributions and its subclasses. J. Multivar. Anal., Vol. 10, 207 232. [31] K. Sato, M. Yamazato (1981) On higher derivatives of distribution functions of class L. J. Math. Kyoto Univ., Vol. 21, 575 591. [32] K. Sato (1982) Absolute continuity of multivariate distributions of class L. J. Multivar. Anal., Vol. 12, 89 94. [33] K. Sato, M. Yamazato (1983) Stationary processes of Ornstein-Uhlenbeck type. Probability Theory and Mathematical Statistics, Fourth USSR Japan Symp., Proc. 1982 (ed. K. Itô and J. V. Prokhorov, Lect. Notes in Math. No. 1021, Springer, Berlin), 541 551. [34] K. Sato (1983) Limit diffusions of some stepping-stone models. J. Appl. Prob., Vol. 20, 460 471. [35] K. Sato, M. Yamazato (1984) Operator-self-decomposable distributions as limit distributions of processes of Ornstein Uhlenbeck type. Stoch. Proc. Appl., Vol. 17, 73 100. [36] K. Sato, M. Yamazato (1985) Completely operator-self-decomposable distributions and operator-stable distributions. Nagoya Math. J., Vol. 97, 71 94. [37] K. Sato (1986) Bounds of modes and unimodal processes with independent increments. Nagoya Math. J., Vol. 104, 29 42. [38] K. Sato (1986) Behavior of modes of a class of processes with independent increments. J. Math. Soc. Japan, Vol. 38, 679 695. [39] K. Sato (1987) Unimodality and bounds of modes for distributions of generalized sojourn times. Stochastic Methods in Biology (ed. M. Kimura, G. Kallianpur and T. Hida, Lect. Notes in Biomath., No. 70, Springer, Berlin) 210 221. [40] K. Sato (1987) Modes and moments of unimodal distributions. Ann. Inst. Stat. Math., Vol. 39, 407 415. [41] K. Sato (1987) Strictly operator-stable distributions. J. Multivar. Anal., Vol. 22, 278 295. [42] K. Sato (1988) Some classes generated by exponential distributions. Probability Theory and Math. Statistics, Fifth Japan-USSR Symp. (ed. S. Watanabe and Yu. V. Prokhorov, Lect. Notes in Math., No.1299, Springer, Berlin), 454 463. [43] K. Sato (1988) On zeros of a system of polynomials and application to sojourn time distributions of birth-and-death processes. Trans. Amer. Math. Soc., Vol. 309, 375 390. 3

[44] K. Sato (1990) Subordination depending on a parameter. Probabability Theory and Mathematical Statistics, Proc. Fifth Vilnius Conf. (ed. B. Grigelionis et al., VSP/Mokslas, Utrecht/Vilnius) Vol. 2, 372 382. [45] K. Sato (1990) Distributions of class L and self-similar processes with independent increments. White Noise Analysis. Mathematics and Applications (ed. T. Hida et al., World Scientific, Singapore), 360 373. [46] K. Sato (1991) Self-similar processes with independent increments. Probab. Theory Related Fields, Vol. 89, 285 300. [47] M. Fukushima, K. Sato, S. Taniguchi (1991) On the closable parts of pre- Dirichlet forms and the fine supports of underlying measures. Osaka J. Math., Vol. 28, 517 535. [48] K. Sato (1992) On unimodality and mode behavior of Lévy processes. Probability Theory and Mathematical Statistics, Proc. Sixth USSR-Japan Symp. (ed. A. N. Shiryaev et al., World Scientific, Singapore), 292 305. [49] K. Sato, M. Yamazato (1993) Remarks on recurrence criteria for processes of Ornstein Uhlenbeck type. Functional Analysis and Related Topics, 1991 (ed. H. Komatsu, Lect. Notes in Math. No. 1540, Springer, Berlin), 329 340. [50] K. Sato (1993) Convolution of unimodal distributions can produce any number of modes. Ann. Probab., Vol. 21, 1543 1549. [51] K. Sato (1994) Multimodal convolutions of unimodal infinitely divisible distributions. Teoriya Veroyatnostei i ee Primeneniya, Tom 39, 403 415 (Theory Probab. Appl., Vol. 39, 336 347). [52] K. Sato (1994) Time evolution of distributions of Lévy processes from continuous singular to absolutely continuous. Research Bulletin, College of General Education, Nagoya Univ., Ser. B, No. 38, 1 11. [53] K. Sato, T. Watanabe, M. Yamazato (1994) Recurrence conditions for multidimensional processes of Ornstein Uhlenbeck type. J. Math. Soc. Japan, Vol. 46, 245 265. [54] K. Sato (1995) Time evolution in distributions of Lévy processes. Southeast Asian Bull. Math. Vol. 19, No. 2, 17 26. [55] G. S. Choi, K. Sato (1995) Recurrence and transience of operator semi-stable processes. Proc. Japan Acad. Vol. 71, Ser. A, 98 100. 4

[56] K. Sato (1996) Criteria of weak and strong transience for Lévy processes. Probability Theory and Mathematical Statistics, Proc. Seventh Japan Russia Symp. (ed. S. Watanabe et al., World Scientific, Singapore), 438 449. [57] K. Sato, T. Watanabe, K. Yamamuro, M. Yamazato (1996) Multidimensional process of Ornstein Uhlenbeck type with nondiagonalizable matrix in linear drift terms. Nagoya Math. J. Vol. 141, 45 78. [58] G. S. Choi, K. Sato (1996) Stable, semi-stable, operator stable, and operator semi-stable process. Proc. of Applied Math. Workshop, Vol. 6 (Probability and Queueing Theory, Center for Applied Math., KAIST, Taejon, Korea, ed. B. D. Choi), 357 369. [59] K. Sato (1997) Time evolution of Lévy processes. Trends in Probability and Related Analysis, Proc. SAP 96 (ed. N. Kono and N.-R. Shieh, World Scientific, Singapore), 35 82. [60] K. Sato, K. Yamamuro (1998) On selfsimilar and semi-selfsimilar processes with independent increments. J. Korean Math. Soc. Vol. 35, 207 224. [61] K. Sato (1998) Multivariate distributions with selfdecomposable projections. J. Korean Math. Soc. Vol. 35, 783 791. [62] K. Sato, F. W. Steutel (1998) Note on the continuation of infinitely divisible distributions and canonical measures. Statistics, Vol 31, 347 357. [63] M. Maejima, K. Sato (1999) Semi-selfsimilar processes. J. Theor. Probab. Vol. 12, 347 373. [64] M. Maejima, K. Sato, T. Watanabe (1999) Exponents of semi-selfsimilar processes. Yokohama Math. J., Vol 47, 93 102. [65] M. Maejima, K. Sato, T. Watanabe (1999) Operator semi-selfdecomposability, (C, Q)-decomposability and related nested classes. Tokyo J. Math., Vol. 22, 473 509. [66] K. Sato (1999) Semi-stable processes and their extensions. Trends in Probability and Related Analysis, Proc. SAP 98 (ed. N. Kono and N.-R. Shieh, World Scientific, Singapore), 129 145. 5

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