The multiplicity of stochastic processes
Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 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},
     pages = {207--215},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {31},
     year = {1997},
     mrnumber = {1478729},
     zbl = {0883.60029},
     language = {en},
     url = {http://archive.numdam.org/item/SPS_1997__31__207_0/}
}
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Chiu, Yukuang. The multiplicity of stochastic processes. Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 207-215. http://archive.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 | Zbl

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

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

[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 | Zbl

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

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

[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 | Zbl

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

[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 | Zbl

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

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

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