訂正日: 2006/08/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) J.L. Doob, Stochastic Processes, New York, 1953. 2) N. Wiener, The homogeneous chaos, Amer. J. Math., 60 (1938), 897-936. 3) J.C. Oxtoby and S.M. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann, of Math., 42 (1941), 874-920. 4) P.R. Halmos, Lectures on Ergodic Theory, Publ. Math. Soc. Japan, No. 3, 1957. 5) R.H. Cameron and W.T. Martin, The orthogonal development of non-linear functionals in series of Fourier-Hermite functions. Ann. of Math., 48 (1947), 385-392. 6) K. Ito, Multiple Wiener integral, J. Math. Soc. Japan, 3 (1951), 157-169. 7) E. Hopf, Ergodentheorie, Egr. d. Math., 5, No. 2, 1937.
Right : [1] J. L. Doob, Stochastic Processes, New York, 1953. [2] N. Wiener, The homogeneous chaos, Amer. J. Math., 60 (1938), 897-936. [3] J. C. Oxtoby and S. M. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann, of Math., 42 (1941), 874-920. [4] P. R. Halmos, Lectures on Ergodic Theory, Publ. Math. Soc. Japan, No. 3, 1957. [5] R. H. Cameron and W. T. Martin, The orthogonal development of non-linear functionals in series of Fourier-Hermite functions. Ann. of Math., 48 (1947), 385-392. [6] K. Itô, Multiple Wiener integral, J. Math. Soc. Japan, 3 (1951), 157-169. [7] E. Hopf, Ergodentheorie, Egr. d. Math., 5, No. 2, 1937.