MSU Statistics and Probability Faculty Publications |
V.S. MANDREKAR Selected Publications | All Publications |
1965 Multiplicity and representation of purely non-deterministic stochastic processes. Theoria veryotnostell i ee primenueula USSR. 614-644, 1965. (Jt. G. Kallianpur).
1967 Quasi-invariance of analytic measures on compact groups. Bull. Amer. Math. Soc. 73, 915-920. (Jt. M. Nadkarni).
1969 On the realization of stochastic processes II. Sankhya, Series A, 31, 477-480. (Jt. H. Mann).
1969 On quasi-invariant ergodic measures on the circle group. J. of Functional Analysis 3, 157-163. (Jt. M. G. Nadkarni).
1969 On the existance of optimal stochastic controls. J. of Math. and Mechanics, 1151-1166. (Jt. H. Becker).
1970 Harmonic analysis on certain vector spaces. Trans. Amer. Math. Soc., 213-231. (Jt. J. Kuelbs).
1970 The square-integrability of operator-valued functions with respect to a non-negative operator-valued measure and the Kolmogorov isomorphism theorem. Indiana U. Math. J. 20, 545-563. (Jt. H. Salehi).
1970 Operator-valued wide-sense Markov processes and solution of infinite differential system driven by white noise. Math. Systems Theory 4, 340-356. (Jt. H. Salehi).
1972 Harmonic analysis for F-spaces with a basis. Trans. Amer. Math. Soc. 169, 113-152. (Jt. J. Kuelbs).
1972 Wiener closure theorems for abstract Wiener space. Proc. Amer. Math. Soc. 32, 169-172. (Jt. J. Kuelbs).
1972 A characterization of oscillatory processes and their prediction. Proc. Amer. Math. Soc. 32, 280-284.
1973 Inversion formulas for Banach spaces with a basis. Trans. Amer. Math. 180, 143-169. (Jt. G. Hamedani).
1974 On the multiple Markov property of Levy-Hida for Gaussian processes. Nagoya Math. J., 54, 69-78.
1974 Domains of attraction of stable laws on Hilbert space. Studia Math., 149-162. (Jt. J. Kuelbs).
1974 The Markov property for generalized Gaussian random fields. J. Inst. Fourier, Grenoble, 143-167. (Jt. G. Kallianpur).
1976 Quasi-invariance of measures under translations. Math. Zeit. 154, 19-29. (Jt. S. D. Chatterji).
1978 Levy-Khinchine representation and Banach spaces of type and cotype. (Jt. G. Hamedani). Studia Math. 66. 207-214.
1978 Equivalence and singularity of Gaussian measures and applications. (with S. D. Chatterji). Probabilistic Analysis and Related Topics, Academic Press. Vol. 1, 169-197.
1979 On sums of independent random variables with values in Lp (2 £ p < ¥ ) (with E. Gine & J. Zinn). Probability in Banach spaces II. OBERWOLFACH Lecture Notes #709 p. 111-124.
1980 Central Limit Problem for symmetric case; convergence to non-Gaussian laws. (Jt. J. Zinn). Studia Math LXVII, 279-296.
1981 Domains of attraction of stable laws on Banach spaces: Survey: Probability in Banach spaces III, Lecture Notes #860, 285-290.
1981 On accompanying laws theorem in Banach spaces: (Jt. A. Araujo, E. Gine and J. Zinn). Ann Prob. 9, 202-210.
1981 Markov properties for random fields: Probabilistic Analysis and Related Topics, Academic Press Vol. III (Ed A. T. Barucha-Ried) 161-193.
1982 Radonifying maps related to p-stable measures on Banach spaces (Jt. I W. Linde and A. Weron). Probability and Math. Stat. 2.
1983 Non-deterministic random fields and Wold and Halmos decompositions for commuting isometries Prediction Theory and Harmonic Analysis North-Holland, 165-190. (Jt. G. Kallianpur).
1983 Some remarks on various definitions of Feynman Integral, Prob. on Banach Spaces IV, OBERWOLFACH 1982, Lecture Notes #990, Springer-Verlag 170-177.
1983 Central Limit Problem and invariance principles on Banach Spaces. Seminaire des Probabilities XVII Lectures Notes #986, 425-496.
1988 On Beurling type invariant subspaces of L2 (T2) and their equivalence, (Jt. P. Ghatage). J. Operator Theory 20 83-89.
1990 On the spectral representation of stable processes: Harmonizability and regularity (Jt. A. Makagon). Probability Theory and Related Fields 85 (1990) 1-11.
1990 Joint weak convergence on the whole line in the truncation model. (Jt. B. Thelen) Proc. of R.C. Bose Symposium on Prob., Stat. and Design of Exp. (1990) Wiley Eastern, New Delhi 495-515.
1990 Factorization through Hilbert-space and the dilation of L(X, Y)-valued measures,
(Jt. P. Richard). Studia Math. (107) 1993, 101-113.
1991 Multiplicative ARMA models for Random Fields (Jt. I. Basawa and P. Brockwell) Interface.
1992 Limit theorems for symmetric statistics of exchangeable random variables (Jt. R.F. Patterson) Stat. Prob. letters. 17, (1993) 157-161.
1992 Markov property of measure-indexed Gaussian random fields: Stochastic processes: A festschrift in honor of G. Kallianpur (1993) (Jt. S. Zhang). 253-262.
1992 Stable generalized moving averages (Jt. D. Surgailis, J. Rosinski and S. Cambanis). Prob. Theory and related topics, 97, p. 543-558.
1992 On stability of stochastic evolution equations (Jt. R. Khasminskii) in E.B. Dynkin Festschrift (ed M. Freidlin) Birkhauser 1994, p. 185-198.
1993 Ito-Ramer, Skorohod and Ogawa integrals with respect to Gaussian processes and their interrelationship (Jt. L. Gawarecki). Chaos Expansions, Wiener-Ito Integrals
and their applications Ed Perez-Abreu and Houdre. CRC Press, London p. 349-373.
1994 Sample moments and symmetric statistics (Jt. M. Meerschaert) Pitman-Longman (Japan-USA Seminar on Stablity) (Ed H. Kuo and Kunita).
1994 Lyapounov type theorem for (deterministic) and stochastic evolution equations, Stochastic Analysis and applications to Physics, 219-237, NATO-ASI Series (Ed L. Streit et al) Kluwer, 1994.
1994 Girsanov type theorem for anticipative shifts (Jt. L. Gawarecki), Probability on Banach Spaces 9 (Ed Hoffman-Jorgensen et al) Birkhauser, 1994, p. 301-316.
1994 Remarks on AC-continuity and the spectral representation of stationary Sa S sequences, Ulam Quarterly 2, no. 4, 27-39, 1994 (Jt. A. Makagon).
1995 Mathematical Work of Norbert Wiener, Invited paper to Notices, Amer. Math. Soc., 42, 664-669, 1995.
1995 Ultimate boundedness and invariant measures of stochastic evolution equations (Jt. R. Liu), Stochastic and Stochastic Reports, 56, (1996) 75-101.
1995 Stochastic semilinear evolution equations, Lyapunov function, stability and ultimate boundedness (Jt. R. Liu), Journal Math. Anal. and Applications, 212, (1997) 537-553.
1996 Determination of discrete spectrum of random fields with application to texture classification (Jt. H. Zhang), (revised).
1996 Numerical solutions of stochastic heat equations perturbed by time white noise (Jt. R. Liu) submitted.
1997 Existence of weak solutions of stochastic differential equations and martingale solutions of stochastic semilinear equations (Jt. L. Gawarecki and P. Richard) to appear in Random Operators and SE.
1997 Almost everywhere convergence and SLLN under rearrangements (Jt. S. Chobanyan), Stoch. Proc. and Rel. Topics: In memory of C. Cambanis. (Ed. Kallianpur etal), Burkhauser, 1998.
1997 Overview of Norber Wiener Centernary Congress (Jt. P. Masani). Proc. of NWCC, Symposia in Applie Math, 52, xv-xliv, 1997, Ameri. Math. Soc
1998 Kolmogorov SLLN under rearrangements (Jt. S. Chobanyan) submitted.
1998 Weak solutions to SDE's with application to semi-linear SDE's, to appear in Prague Stochastics 98 (Jt. L. Gawarecki and P. Richard).
1998 On Stabilization of Large (ecological) Systems, Invited paper to Statistics in the 21st Century (ed. C.R. Rao and G. Szkely).
1998 Bayes Formula for Gaussian processes and applications to filtering problem (Jt. P. Mandal) in prepartion.