The multiplicity of stochastic processes
Séminaire de probabilités de Strasbourg, Volume 31  (1997), p. 207-215
@article{SPS_1997__31__207_0,
     author = {Chiu, Yukuang},
     title = {The multiplicity of stochastic processes},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {31},
     year = {1997},
     pages = {207-215},
     zbl = {0883.60029},
     mrnumber = {1478729},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1997__31__207_0}
}
Chiu, Yukuang. The multiplicity of stochastic processes. Séminaire de probabilités de Strasbourg, Volume 31 (1997) , pp. 207-215. http://www.numdam.org/item/SPS_1997__31__207_0/

[1] N. Aronszajn, Theory of reproducing kernels. Trans. Amer. Math. Soc. Vol. 68, 337-404 (1950). | MR 51437 | Zbl 0037.20701

[2] H. Cramér, Stochastic Processes as Curves in Hilbert Space. Theory Probability Appl., 9(2), 169-179 (1964). | MR 170375 | Zbl 0161.14602

[3] H. Cramér, A Contribution to the Multiplicity Theory of Stochastic Processes. Proc. Fifth Berkeley Symp. Stat. Appl. Probability, II, 215-221 (1965). | MR 225370 | Zbl 0201.49601

[4] H. Cramér, Structural and Statistical Problems for a Class of Stochastic Processes. The First Samuel Stanley Wilks Lecture at Princeton University, March 17 1970, 1-30 (1971). | MR 400370 | Zbl 0256.60002

[5] T. Hida, Brownian Motion. Springer-Verlag (1980). | MR 562914 | Zbl 0432.60002

[6] T. Hida, Canonical Representations of Gaussian Processes and Their Applications. mem. College Sci., Univ. Kyoto, A33 (1), 109-155 (1960). | MR 119246 | Zbl 0100.34302

[7] K. Itô, Spectral Type of The Shift Transformation of Differential Processes With Stationary Increments. Trans. Amer. Math. Soc., Vol. 81, No. 2, 253-263 (1956). | MR 77017 | Zbl 0073.35303

[8] K. Itô, Multiple Wiener integral. J. Math. Soc. Japan 3, 157-169 (1951). | MR 44064 | Zbl 0044.12202

[9] S. Itô, On Hellinger-Hahn's Theorem. (In Japanese) Sugaku, vol. 5, no. 2, 90-91 (1953).

[10] G. Kallianpur and V. Mandrekar, On the Connection between Multiplicity Theory and O. Hanner's Time Domain Analysis of Weakly Stationary Stochastic Processes. Univ. North Carolina Monograph Ser. Probability Stat., No. 3, 385-396 (1970). | MR 266294 | Zbl 0267.60031

[11] N. Wiener, Time Series. M.I.T. (1949).

[12] N. Wiener, Nonlinear Problems in Random Theory. M.I.T. (1958). | MR 100912 | Zbl 0121.12302

[13] N. Wiener, The Fourier Integral and Certain of Its Applications. Dover Publications. INC., New York (1958). | MR 100201 | Zbl 0081.32102