Edit Profile (opens in new tab) Mandrekar, Vidyadhar S. Co-Author Distance Author ID: mandrekar.vidyadhar-s Published as: Mandrekar, V.; Mandrekar, Vidyadhar; Mandrekar, Vidyadhar S.; Mandrekar, V. S.; Mandrekar, Vidiadhar; Mandrekar, Vidyadhav; Mendrekar, V. more...less Homepage: https://www.stt.msu.edu/~mandrekar/ External Links: MGP Documents Indexed: 131 Publications since 1965, including 5 Books and 1 Additional arXiv Preprint 2 Contributions as Editor · 1 Further Contribution Co-Authors: 61 Co-Authors with 106 Joint Publications 1,897 Co-Co-Authors all top 5 Co-Authors 22 single-authored 14 Gawarecki, Leszek 9 Kallianpur, Gopinath 9 Rüdiger, Barbara 7 Salehi, Habib 4 Chatterji, Srishti Dhar 4 Chobanyan, Sergei 4 Kuelbs, James D. 4 Levental, Shlomo 3 Kara, Hasan Hüseyin 3 LePage, Raoul D. 3 Liu, Ruifeng 3 Nadkarni, Mahendra G. 3 Park, G. L. 3 Weron, Aleksander 3 Zinn, Joel 2 Albeverio, Sergio A. 2 Bhan, Chandni 2 Cambanis, Stamatis 2 Giné-Masdéu, Evarist 2 Hamedani, Gholamhossein G. 2 Linde, Werner 2 Makagon, Andrzej 2 Mandal, Pranab Kumar 2 Masani, Pesi Rustom 2 Rajeev, Bhaskaran 2 Rosiński, Jan 2 Surgailis, Donatas 2 Zhang, Hao 1 Araujo, Aloisio P. 1 Belyaev, Yuriĭ Konstantinovich 1 Bode, H. W. 1 Bucy, Richard S. 1 Chakraborty, Paramita 1 Chobanyan, Alexander 1 Chobanyan, S. A. 1 Cui, Yuehua 1 Dharmadhikari, Avinash D. 1 Du, Juan 1 Ephremides, Anthony 1 Gharagoz Hamedani, G. 1 Ghatage, Pratibha G. 1 Hanagal, David D. 1 Hanner, Olof 1 He, Tao 1 Ignatyev, Oleksiy A. 1 Kadota, T. T. 1 Kailath, Thomas 1 Kalman, Rudolf Emil 1 Khas’minskiĭ, Rafail Zalmanovich 1 Kulathinal, Sangita 1 Kumar, Arunod 1 Lee, Kwang Yun 1 Lévy, Paul 1 Makagan, A. 1 Mann, Henry Berthold 1 Meerschaert, Mark Marvin 1 Meyer-Brandis, Thilo 1 Mutka, Matt W. 1 Patterson, Ronald Frank 1 Pilipenko, Andrey Yu. 1 Proske, Frank Norbert 1 Redett, David A. 1 Rozdnov, Ju. A. 1 Sarkar, Barun 1 Shannon, G. E. 1 Shepp, Lawrence Alan 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Tappe, Stefan 1 Thelen, Brian J. 1 Thomas, John Bowman 1 Wang, Li 1 Xi, Ning 1 Zhang, Sixiang 1 Zhong, Pingshou all top 5 Serials 8 Proceedings of the American Mathematical Society 6 Studia Mathematica 5 Journal of Multivariate Analysis 5 Statistics & Probability Letters 4 Theory of Stochastic Processes 3 Transactions of the American Mathematical Society 3 Journal of Theoretical Probability 2 Nagoya Mathematical Journal 2 Probability and Mathematical Statistics 2 Probability Theory and Related Fields 2 Random Operators and Stochastic Equations 2 International Journal of Contemporary Mathematical Sciences 2 Communications on Stochastic Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical and Physical Sciences 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 The Annals of Statistics 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Sankhyā. Series A. Methods and Techniques 1 SIAM Journal on Control and Optimization 1 Journal of Operator Theory 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Economic Quality Control 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Stochastics and Stochastics Reports 1 Theory of Probability and Mathematical Statistics 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Ulam Quarterly 1 Statistica Sinica 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Computer Networks 1 Stochastics 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of Mathematics and Mechanics 1 Monographs on Statistics and Applied Probability 1 Proceedings of Symposia in Applied Mathematics 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Journal of Probability and Statistics 1 Probability Theory and Stochastic Modelling 1 Probability and its Applications 1 De Gruyter Graduate all top 5 Fields 105 Probability theory and stochastic processes (60-XX) 23 Functional analysis (46-XX) 18 Statistics (62-XX) 15 Measure and integration (28-XX) 15 Systems theory; control (93-XX) 14 Operator theory (47-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Abstract harmonic analysis (43-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 762 times in 624 Documents Cited by ▼ Year ▼ Stochastic differential equations in infinite dimensions with applications to stochastic partial differential equations. Zbl 1228.60002 Gawarecki, Leszek; Mandrekar, Vidyadhar 129 2011 Fixed-domain asymptotic properties of tapered maximum likelihood estimators. Zbl 1369.62248 Du, Juan; Zhang, Hao; Mandrekar, V. S. 47 2009 The validity of Beurling theorems in polydiscs. Zbl 0658.47033 Mandrekar, V. 44 1988 Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise. Zbl 1168.60014 Albeverio, S.; Mandrekar, V.; Rüdiger, B. 43 2009 Stable mixed moving averages. Zbl 0794.60026 Surgailis, Donatas; Rosinski, Jan; Mandrekar, V.; Cambanis, Stamatis 34 1993 The square-integrability of operator-valued functions with respect to a non-negative operator-valued measure and the Kolmogorov isomorphism theorem. Zbl 0252.46040 Mandrekar, V.; Salehi, H. 32 1970 Stochastic integration in Banach spaces. Theory and applications. Zbl 1314.60007 Mandrekar, Vidyadhar; Rüdiger, Barbara 21 2015 Nondeterministic random fields and Wold and Halmos decompositions for commuting isometries. Zbl 0522.60050 Kallianpur, Gopinath; Mandrekar, V. 19 1983 Domains of attraction of stable measures on a Hilbert space. Zbl 0304.60002 Kuelbs, J.; Mandrekar, V. 17 1974 Existence and uniqueness of path wise solutions for stochastic integral equations driven by Lévy noise on separable Banach spaces. Zbl 1119.60040 Mandrekar, V.; Rüdiger, B. 17 2006 On Beurling type invariant subspaces of \(L^ 2({\mathbb{T}}^ 2)\) and their equivalence. Zbl 0703.46038 Ghatage, P.; Mandrekar, V. 15 1988 The Markov property for generalized Gaussian random fields. Zbl 0275.60054 Kallianpur, Gopinath; Mandrekar, V. 14 1974 Estimation of hidden frequencies for 2D stationary process. Zbl 0979.62076 Zhang, Hao; Mandrekar, Vidyadhar 14 2001 Spectral theory of stationary \({\mathcal H}\)-valued processes. Zbl 0248.60028 Kallianpur, Gopinath; Mandrekar, V. 13 1971 Equivalence and singularity of Gaussian measures and applications. Zbl 0458.60028 Chatterji, S. D.; Mandrekar, V. 12 1978 Multiplicity and representation theory of purely non-deterministic stochastic processes. Zbl 0171.38902 Kallianpur, Gopinath; Mandrekar, V. 12 1965 Stable probability measures on Banach spaces. Zbl 0209.48502 Kumar, A.; Mandrekar, V. 12 1972 The spectral representation of stable processes: Harmonizability and regularity. Zbl 0673.60041 Makagon, A.; Mandrekar, V. 11 1990 Central limit problem for symmetric case: Convergence to non-Gaussian laws. Zbl 0461.60022 Mandrekar, V.; Zinn, J. 10 1980 Stochastic semilinear evolution equations: Lyapunov function, stability, and ultimate boundedness. Zbl 0885.60044 Liu, Ruifeng; Mandrekar, Vidyadhar 10 1997 On singularity and Lebesgue type decomposition for operator-valued measueres. Zbl 0218.46040 Mandrekar, V.; Salehi, H. 10 1971 The monotonicity inequality for linear stochastic partial differential equations. Zbl 1187.60050 Gawarecki, L.; Mandrekar, V.; Rajeev, B. 10 2009 On multivariate wide-sense Markov processes. Zbl 0174.49602 Mandrekar, V. 9 1968 Subordination of infinite-dimensional stationary stochastic processes. Zbl 0196.19101 Mandrekar, V.; Salehi, H. 9 1970 Prokhorov blocks and strong law of large numbers under rearrangements. Zbl 1062.60028 Chobanyan, S.; Levental, S.; Mandrekar, V. 8 2004 Harmonic analysis on certain vector spaces. Zbl 0202.40903 Kuelbs, J.; Mandrekar, V. 8 1970 On the existence of weak variational solutions to stochastic differential equations. Zbl 1331.60118 Gawarecki, L.; Mandrekar, V. 8 2010 On ergodic quasi-invariant measures on the circle group. Zbl 0174.31203 Mandrekar, V.; Nadkarni, M. 7 1969 Linear stochastic differential equations in the dual of a multi-Hilbertian space. Zbl 1224.60160 Gawarecki, L.; Mandrekar, V.; Rajeev, B. 7 2008 Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101 Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun 6 2017 Harmonic analysis on F-spaces with a basis. Zbl 0268.60008 Kuelbs, J.; Mandrekar, V. 5 1972 On likelihood ratios of measures given by Markov chains. Zbl 0277.60028 LePage, R.; Mandrekar, V. 5 1975 Germ-field Markov property for multiparameter processes. Zbl 0332.60049 Mandrekar, V. 5 1976 Quasi-invariance of measures under translation. Zbl 0334.60006 Chatterji, Srishti D.; Mandrekar, Vidyadhar 5 1977 A Bayes formula for Gaussian noise processes and its applications. Zbl 0970.60046 Mandal, Pranab K.; Mandrekar, Vidyadhar 5 2000 Sample moments and symmetric statistics. Zbl 0816.60003 Mandrekar, V.; Meerschaert, M. M. 5 1994 Markov properties for random fields. Zbl 0547.60055 Mandrekar, V. 5 1983 Itō’s formula for Banach-space-valued jump processes driven by Poisson random measures. Zbl 1288.60067 Mandrekar, Vidyadhar; Rüdiger, Barbara; Tappe, Stefan 5 2013 Lévy noises and stochastic integrals on Banach spaces. Zbl 1096.60024 Mandrekar, Vidyadhar; Rüdiger, Barbara 5 2006 A Bayes formula for nonlinear filtering with Gaussian and Cox noise. Zbl 1234.60041 Mandrekar, Vidyadhar; Meyer-Brandis, Thilo; Proske, Frank 5 2011 Barbashin-Krasovskii theorem for stochastic differential equations. Zbl 1203.60071 Ignatyev, Oleksiy; Mandrekar, V. 5 2010 On sums of independent random variables with values in \(L_p(2\leq p<\infty)\). Zbl 0424.60004 Giné, Evarist; Mandrekar, V.; Zinn, Joel 4 1979 On the multiple Markov property of Levy-Hida for Gaussian processes. Zbl 0282.60021 Mandrekar, V. 4 1974 On the Zakai equation of filtering with Gaussian noise. Zbl 0973.93055 Gawarecki, Leszek; Mandrekar, Vidyadhar 4 2000 Stochastic analysis for Gaussian random processes and fields: with applications. Zbl 1333.60008 Mandrekar, Vidyadhar S.; Gawarecki, Leszek 4 2015 Semi-groups of isometries and the representation and multiplicity of weakly stationary stochastic processes. Zbl 0171.38803 Kallianpur, Gopinath; Mandrekar, V. 4 1966 Operator-valued wide-sense Markov processes and stochastic differential system. Zbl 0208.43704 Mandrekar, V.; Salehi, H. 4 1970 Towards Nikishin’s theorem on the almost sure convergence of rearrangements of functional series. Zbl 1271.60011 Levental, S.; Mandrekar, V.; Chobanyan, S. A. 4 2011 p-stable measures and p-absolutely summing operators. Zbl 0445.60006 Linde, W.; Mandrekar, V.; Weron, A. 3 1980 Existence of weak solutions for stochastic differential equations and martingale solutions for stochastic semilinear equations. Zbl 0951.60063 Gawarecki, Leszek; Mandrekar, Vidyadhar; Richard, P. 3 1999 Stochastic differential equations with discontinuous drift in Hilbert space with applications to interacting particle systems. Zbl 0995.60057 Gawarecki, L.; Mandrekar, V. 3 2001 Quasi-invariance of analytic measures on compact groups. Zbl 0193.10601 Mandrekar, V.; Nadkarni, M. 3 1967 Singular invariant measures on the line. Zbl 0205.07102 Mandrekar, V.; Nadkarni, M.; Patil, D. 3 1970 Equivalence-singularity dichotomies from zero-one laws. Zbl 0229.60023 LePage, Raoul D.; Mandrekar, V. 3 1972 Characterization of Banach space through validity of Bochner theorem. Zbl 0498.60010 Mandrekar, V. 3 1978 Some remarks on various definitions of Feynman integral. Zbl 0516.60006 Mandrekar, V. 3 1983 On a factorization theorem of D. Lowdenslager. Zbl 0244.42037 Mandrekar, V.; Salehi, H. 3 1972 Relation between stochastic integrals and the geometry of Banach spaces. Zbl 1187.60043 Mandrekar, V.; Rüdiger, B. 3 2009 Weakly stationary random fields, invariant subspaces and applications. Zbl 1455.60003 Mandrekar, Vidyadhar S.; Redett, David A. 2 2018 Sur la quasi-invariance des mesures sous les translations. Zbl 0333.60011 Chatterji, Srishti Dhav; Mandrekar, Vidyadhav 2 1975 On Kolmogorov SLLN under rearrangements for “orthogonal” random variables in a \(B\)-space. Zbl 0953.60011 Chobanyan, Sergei; Mandrekar, Vidyadhar 2 2000 Almost everywhere convergence and SLLN under rearrangements. Zbl 0917.60028 Chobanyan, Sergei; Mandrekar, Vidyadhar 2 1998 On the existence of optimal random controls. Zbl 0211.46303 Becker, H.; Mandrekar, V. 2 1969 Central limit problem and invariance principles on Banach spaces. Zbl 0508.60012 Mandrekar, V. 2 1983 Invariant measure and stability of the solution of a stochastic differential equation driven by a jump Lévy process. Zbl 1266.60100 Bhan, Chandni; Chakraborty, Paramita; Mandrekar, V. S. 2 2012 On a Brownian motion with a hard membrane. Zbl 1336.60161 Mandrekar, Vidyadhar; Pilipenko, Andrey 2 2016 Asymptotic properties of stochastic partial differential equations in Hilbert spaces driven by non-Gaussian noise. Zbl 1331.60121 Mandrekar, V.; Wang, Li 2 2011 Domain of attraction problem on Banach spaces: A survey. Zbl 0464.60023 Mandrekar, V. 1 1981 On the accompanying laws theorem in Banach spaces. Zbl 0471.60014 de Araujo, Aloisio Pessoa; Giné, Evarist; Mandrekar, V.; Zinn, Joel 1 1981 \(\alpha\)-stable characterization of Banach spaces (\(1<alpha<2\)). Zbl 0472.60009 Mandrekar, V.; Weron, A. 1 1981 An approach to the martingale problem for diffusion stochastic equations in a Hilbert space. Zbl 0939.60050 Mandrekar, Vidyadhar S.; Skorokhod, Anatolij V. 1 1998 Inversion formulae for the probability measures on Banach spaces. Zbl 0279.46023 Gharagoz Hamedani, G.; Mandrekar, V. 1 1973 A direct proof of Yu. A. Rozanov’s factorization theorem from the method of D. Lowdenslager. Zbl 0282.42008 Mandrekar, V. 1 1973 Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005 1 1973 On Bochner and Levy theorems in Orlicz spaces. Zbl 0372.46033 Mandrekar, V. 1 1977 Singularity and absolute continuity of measures. Zbl 0372.60053 Chatterji, S. D.; Mandrekar, V. 1 1977 Wide-sense martingale approach to linear optimal estimation. Zbl 0256.93055 Kara, H.; Mandrekar, V.; Park, G. L. 1 1973 Mathematical work of Norbert Wiener. Zbl 1047.01527 Mandrekar, V. 1 1995 On the stability of solutions of stochastic evolution equations. Zbl 0820.93070 Khasminskii, R.; Mandrekar, V. 1 1994 On a limit theorem and invariance principle for symmetric statistics. Zbl 0719.60036 Mandrekar, V.; Rao, B. V. 1 1989 Markov property of measure-indexed Gaussian random fields. Zbl 0792.60040 Mandrekar, V.; Zhang, Sixiang 1 1993 Ultimate boundedness and invariant measures of stochastic evolution equations. Zbl 0886.60050 Liu, Ruifeng; Mandrekar, Vidyadhar 1 1996 Itô-Ramer, Skorohod and Ogawa integrals with respect to Gaussian processes and their interrelationship. Zbl 0851.60049 Gawarecki, Leszek; Mandrekar, Vidyadhar 1 1994 Equivalence-singularity dichotomies for zero-one laws. Zbl 0207.48501 LePage, R. D.; Mandrekar, V. 1 1972 A characterization of oscillatory processes and their prediction. Zbl 0209.20401 Mandrekar, V. 1 1972 Prediction theory and harmonic analysis. The Pesi Masani Volume. Zbl 0504.00014 1 1983 Commuting semigroups of isometries and Karhunen representation of second order stationary random fields. Zbl 0514.60047 Kallianpur, Gopinath; Mandrekar, V. 1 1983 On multiple Markov \(S\alpha{} S\) processes. Zbl 0751.60052 Mandrekar, V.; Thelen, B. 1 1991 Non-linear filtering with Gaussian martingale noise: Kalman filter with fBm noise. Zbl 1268.60050 Gawarecki, L.; Mandrekar, V. 1 2004 Weak uniqueness of martingale solutions to stochastic partial differential equations in Hilbert spaces. Zbl 1474.60165 Mandrekar, V.; Naik-Nimbalkar, U. V. 1 2020 Recurrence properties of term structure models. Zbl 1229.62138 Bhan, Chandni; Mandrekar, V. 1 2010 Weak uniqueness of martingale solutions to stochastic partial differential equations in Hilbert spaces. Zbl 1474.60165 Mandrekar, V.; Naik-Nimbalkar, U. V. 1 2020 Weakly stationary random fields, invariant subspaces and applications. Zbl 1455.60003 Mandrekar, Vidyadhar S.; Redett, David A. 2 2018 Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101 Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun 6 2017 On a Brownian motion with a hard membrane. Zbl 1336.60161 Mandrekar, Vidyadhar; Pilipenko, Andrey 2 2016 Stochastic integration in Banach spaces. Theory and applications. Zbl 1314.60007 Mandrekar, Vidyadhar; Rüdiger, Barbara 21 2015 Stochastic analysis for Gaussian random processes and fields: with applications. Zbl 1333.60008 Mandrekar, Vidyadhar S.; Gawarecki, Leszek 4 2015 Itō’s formula for Banach-space-valued jump processes driven by Poisson random measures. Zbl 1288.60067 Mandrekar, Vidyadhar; Rüdiger, Barbara; Tappe, Stefan 5 2013 Invariant measure and stability of the solution of a stochastic differential equation driven by a jump Lévy process. Zbl 1266.60100 Bhan, Chandni; Chakraborty, Paramita; Mandrekar, V. S. 2 2012 Stochastic differential equations in infinite dimensions with applications to stochastic partial differential equations. Zbl 1228.60002 Gawarecki, Leszek; Mandrekar, Vidyadhar 129 2011 A Bayes formula for nonlinear filtering with Gaussian and Cox noise. Zbl 1234.60041 Mandrekar, Vidyadhar; Meyer-Brandis, Thilo; Proske, Frank 5 2011 Towards Nikishin’s theorem on the almost sure convergence of rearrangements of functional series. Zbl 1271.60011 Levental, S.; Mandrekar, V.; Chobanyan, S. A. 4 2011 Asymptotic properties of stochastic partial differential equations in Hilbert spaces driven by non-Gaussian noise. Zbl 1331.60121 Mandrekar, V.; Wang, Li 2 2011 On the existence of weak variational solutions to stochastic differential equations. Zbl 1331.60118 Gawarecki, L.; Mandrekar, V. 8 2010 Barbashin-Krasovskii theorem for stochastic differential equations. Zbl 1203.60071 Ignatyev, Oleksiy; Mandrekar, V. 5 2010 Recurrence properties of term structure models. Zbl 1229.62138 Bhan, Chandni; Mandrekar, V. 1 2010 Fixed-domain asymptotic properties of tapered maximum likelihood estimators. Zbl 1369.62248 Du, Juan; Zhang, Hao; Mandrekar, V. S. 47 2009 Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise. Zbl 1168.60014 Albeverio, S.; Mandrekar, V.; Rüdiger, B. 43 2009 The monotonicity inequality for linear stochastic partial differential equations. Zbl 1187.60050 Gawarecki, L.; Mandrekar, V.; Rajeev, B. 10 2009 Relation between stochastic integrals and the geometry of Banach spaces. Zbl 1187.60043 Mandrekar, V.; Rüdiger, B. 3 2009 Linear stochastic differential equations in the dual of a multi-Hilbertian space. Zbl 1224.60160 Gawarecki, L.; Mandrekar, V.; Rajeev, B. 7 2008 Existence and uniqueness of path wise solutions for stochastic integral equations driven by Lévy noise on separable Banach spaces. Zbl 1119.60040 Mandrekar, V.; Rüdiger, B. 17 2006 Lévy noises and stochastic integrals on Banach spaces. Zbl 1096.60024 Mandrekar, Vidyadhar; Rüdiger, Barbara 5 2006 Prokhorov blocks and strong law of large numbers under rearrangements. Zbl 1062.60028 Chobanyan, S.; Levental, S.; Mandrekar, V. 8 2004 Non-linear filtering with Gaussian martingale noise: Kalman filter with fBm noise. Zbl 1268.60050 Gawarecki, L.; Mandrekar, V. 1 2004 Estimation of hidden frequencies for 2D stationary process. Zbl 0979.62076 Zhang, Hao; Mandrekar, Vidyadhar 14 2001 Stochastic differential equations with discontinuous drift in Hilbert space with applications to interacting particle systems. Zbl 0995.60057 Gawarecki, L.; Mandrekar, V. 3 2001 A Bayes formula for Gaussian noise processes and its applications. Zbl 0970.60046 Mandal, Pranab K.; Mandrekar, Vidyadhar 5 2000 On the Zakai equation of filtering with Gaussian noise. Zbl 0973.93055 Gawarecki, Leszek; Mandrekar, Vidyadhar 4 2000 On Kolmogorov SLLN under rearrangements for “orthogonal” random variables in a \(B\)-space. Zbl 0953.60011 Chobanyan, Sergei; Mandrekar, Vidyadhar 2 2000 Existence of weak solutions for stochastic differential equations and martingale solutions for stochastic semilinear equations. Zbl 0951.60063 Gawarecki, Leszek; Mandrekar, Vidyadhar; Richard, P. 3 1999 Almost everywhere convergence and SLLN under rearrangements. Zbl 0917.60028 Chobanyan, Sergei; Mandrekar, Vidyadhar 2 1998 An approach to the martingale problem for diffusion stochastic equations in a Hilbert space. Zbl 0939.60050 Mandrekar, Vidyadhar S.; Skorokhod, Anatolij V. 1 1998 Stochastic semilinear evolution equations: Lyapunov function, stability, and ultimate boundedness. Zbl 0885.60044 Liu, Ruifeng; Mandrekar, Vidyadhar 10 1997 Ultimate boundedness and invariant measures of stochastic evolution equations. Zbl 0886.60050 Liu, Ruifeng; Mandrekar, Vidyadhar 1 1996 Mathematical work of Norbert Wiener. Zbl 1047.01527 Mandrekar, V. 1 1995 Sample moments and symmetric statistics. Zbl 0816.60003 Mandrekar, V.; Meerschaert, M. M. 5 1994 On the stability of solutions of stochastic evolution equations. Zbl 0820.93070 Khasminskii, R.; Mandrekar, V. 1 1994 Itô-Ramer, Skorohod and Ogawa integrals with respect to Gaussian processes and their interrelationship. Zbl 0851.60049 Gawarecki, Leszek; Mandrekar, Vidyadhar 1 1994 Stable mixed moving averages. Zbl 0794.60026 Surgailis, Donatas; Rosinski, Jan; Mandrekar, V.; Cambanis, Stamatis 34 1993 Markov property of measure-indexed Gaussian random fields. Zbl 0792.60040 Mandrekar, V.; Zhang, Sixiang 1 1993 On multiple Markov \(S\alpha{} S\) processes. Zbl 0751.60052 Mandrekar, V.; Thelen, B. 1 1991 The spectral representation of stable processes: Harmonizability and regularity. Zbl 0673.60041 Makagon, A.; Mandrekar, V. 11 1990 On a limit theorem and invariance principle for symmetric statistics. Zbl 0719.60036 Mandrekar, V.; Rao, B. V. 1 1989 The validity of Beurling theorems in polydiscs. Zbl 0658.47033 Mandrekar, V. 44 1988 On Beurling type invariant subspaces of \(L^ 2({\mathbb{T}}^ 2)\) and their equivalence. Zbl 0703.46038 Ghatage, P.; Mandrekar, V. 15 1988 Nondeterministic random fields and Wold and Halmos decompositions for commuting isometries. Zbl 0522.60050 Kallianpur, Gopinath; Mandrekar, V. 19 1983 Markov properties for random fields. Zbl 0547.60055 Mandrekar, V. 5 1983 Some remarks on various definitions of Feynman integral. Zbl 0516.60006 Mandrekar, V. 3 1983 Central limit problem and invariance principles on Banach spaces. Zbl 0508.60012 Mandrekar, V. 2 1983 Prediction theory and harmonic analysis. The Pesi Masani Volume. Zbl 0504.00014 1 1983 Commuting semigroups of isometries and Karhunen representation of second order stationary random fields. Zbl 0514.60047 Kallianpur, Gopinath; Mandrekar, V. 1 1983 Domain of attraction problem on Banach spaces: A survey. Zbl 0464.60023 Mandrekar, V. 1 1981 On the accompanying laws theorem in Banach spaces. Zbl 0471.60014 de Araujo, Aloisio Pessoa; Giné, Evarist; Mandrekar, V.; Zinn, Joel 1 1981 \(\alpha\)-stable characterization of Banach spaces (\(1<alpha<2\)). Zbl 0472.60009 Mandrekar, V.; Weron, A. 1 1981 Central limit problem for symmetric case: Convergence to non-Gaussian laws. Zbl 0461.60022 Mandrekar, V.; Zinn, J. 10 1980 p-stable measures and p-absolutely summing operators. Zbl 0445.60006 Linde, W.; Mandrekar, V.; Weron, A. 3 1980 On sums of independent random variables with values in \(L_p(2\leq p<\infty)\). Zbl 0424.60004 Giné, Evarist; Mandrekar, V.; Zinn, Joel 4 1979 Equivalence and singularity of Gaussian measures and applications. Zbl 0458.60028 Chatterji, S. D.; Mandrekar, V. 12 1978 Characterization of Banach space through validity of Bochner theorem. Zbl 0498.60010 Mandrekar, V. 3 1978 Quasi-invariance of measures under translation. Zbl 0334.60006 Chatterji, Srishti D.; Mandrekar, Vidyadhar 5 1977 On Bochner and Levy theorems in Orlicz spaces. Zbl 0372.46033 Mandrekar, V. 1 1977 Singularity and absolute continuity of measures. Zbl 0372.60053 Chatterji, S. D.; Mandrekar, V. 1 1977 Germ-field Markov property for multiparameter processes. Zbl 0332.60049 Mandrekar, V. 5 1976 On likelihood ratios of measures given by Markov chains. Zbl 0277.60028 LePage, R.; Mandrekar, V. 5 1975 Sur la quasi-invariance des mesures sous les translations. Zbl 0333.60011 Chatterji, Srishti Dhav; Mandrekar, Vidyadhav 2 1975 Domains of attraction of stable measures on a Hilbert space. Zbl 0304.60002 Kuelbs, J.; Mandrekar, V. 17 1974 The Markov property for generalized Gaussian random fields. Zbl 0275.60054 Kallianpur, Gopinath; Mandrekar, V. 14 1974 On the multiple Markov property of Levy-Hida for Gaussian processes. Zbl 0282.60021 Mandrekar, V. 4 1974 Inversion formulae for the probability measures on Banach spaces. Zbl 0279.46023 Gharagoz Hamedani, G.; Mandrekar, V. 1 1973 A direct proof of Yu. A. Rozanov’s factorization theorem from the method of D. Lowdenslager. Zbl 0282.42008 Mandrekar, V. 1 1973 Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005 1 1973 Wide-sense martingale approach to linear optimal estimation. Zbl 0256.93055 Kara, H.; Mandrekar, V.; Park, G. L. 1 1973 Stable probability measures on Banach spaces. Zbl 0209.48502 Kumar, A.; Mandrekar, V. 12 1972 Harmonic analysis on F-spaces with a basis. Zbl 0268.60008 Kuelbs, J.; Mandrekar, V. 5 1972 Equivalence-singularity dichotomies from zero-one laws. Zbl 0229.60023 LePage, Raoul D.; Mandrekar, V. 3 1972 On a factorization theorem of D. Lowdenslager. Zbl 0244.42037 Mandrekar, V.; Salehi, H. 3 1972 Equivalence-singularity dichotomies for zero-one laws. Zbl 0207.48501 LePage, R. D.; Mandrekar, V. 1 1972 A characterization of oscillatory processes and their prediction. Zbl 0209.20401 Mandrekar, V. 1 1972 Spectral theory of stationary \({\mathcal H}\)-valued processes. Zbl 0248.60028 Kallianpur, Gopinath; Mandrekar, V. 13 1971 On singularity and Lebesgue type decomposition for operator-valued measueres. Zbl 0218.46040 Mandrekar, V.; Salehi, H. 10 1971 The square-integrability of operator-valued functions with respect to a non-negative operator-valued measure and the Kolmogorov isomorphism theorem. Zbl 0252.46040 Mandrekar, V.; Salehi, H. 32 1970 Subordination of infinite-dimensional stationary stochastic processes. Zbl 0196.19101 Mandrekar, V.; Salehi, H. 9 1970 Harmonic analysis on certain vector spaces. Zbl 0202.40903 Kuelbs, J.; Mandrekar, V. 8 1970 Operator-valued wide-sense Markov processes and stochastic differential system. Zbl 0208.43704 Mandrekar, V.; Salehi, H. 4 1970 Singular invariant measures on the line. Zbl 0205.07102 Mandrekar, V.; Nadkarni, M.; Patil, D. 3 1970 On ergodic quasi-invariant measures on the circle group. Zbl 0174.31203 Mandrekar, V.; Nadkarni, M. 7 1969 On the existence of optimal random controls. Zbl 0211.46303 Becker, H.; Mandrekar, V. 2 1969 On multivariate wide-sense Markov processes. Zbl 0174.49602 Mandrekar, V. 9 1968 Quasi-invariance of analytic measures on compact groups. Zbl 0193.10601 Mandrekar, V.; Nadkarni, M. 3 1967 Semi-groups of isometries and the representation and multiplicity of weakly stationary stochastic processes. Zbl 0171.38803 Kallianpur, Gopinath; Mandrekar, V. 4 1966 Multiplicity and representation theory of purely non-deterministic stochastic processes. Zbl 0171.38902 Kallianpur, Gopinath; Mandrekar, V. 12 1965 all cited Publications top 5 cited Publications all top 5 Cited by 747 Authors 31 Mandrekar, Vidyadhar S. 13 Tappe, Stefan 11 Albeverio, Sergio A. 11 Izuchi, Keiji 10 Izuchi, Kou Hei 10 Labendia, Mhelmar Avila 10 Roy, Parthanil 9 Rüdiger, Barbara 8 Tang, Hao 7 Bachoc, François 7 Giné-Masdéu, Evarist 7 Rajeev, Bhaskaran 7 Salehi, Habib 6 Klotz, Lutz Peter 6 Mohan, Manil Thankamani 6 Sarkar, Jaydeb 6 Yang, Rongwei 5 Bevilacqua, Moreno 5 Bhar, Suprio 5 Do, Khac Duc 5 Furrer, Reinhard 5 Izuchi, Yuko 5 Kakihara, Yûichirô 5 Levental, Shlomo 5 Rosiński, Jan 5 Rouault, Alain 5 Samorodnitsky, Gennady Pinkhosovich 5 Soltani, Ahmad Reza 5 Xiao, Yimin 4 Bînzar, Tudor 4 Brzeźniak, Zdzisław 4 Fabbri, Giorgio 4 Federico, Salvatore 4 Hausenblas, Erika 4 Kallianpur, Gopinath 4 Kundu, Debasis 4 Lăzureanu, Cristian 4 Lê Vǎn Thành 4 Manna, Utpal 4 Masani, Pesi Rustom 4 Paulauskas, Vygantas Ionovič 4 Porcu, Emilio 4 Proske, Frank Norbert 4 Rajput, Balram S. 4 Rulete, Ricky F. 4 Russo, Francesco 4 Sarkar, Barun 4 Smii, Boubaker 4 Stoev, Stilian A. 4 Veraart, Almut E. D. 3 Avraham-Re’em, Nachi 3 Basse-O’Connor, Andreas 3 Benner, Peter 3 Benth, Fred Espen 3 Bharucha-Reid, Albert Turner 3 Bingham, Nicholas Hugh 3 Burdak, Zbigniew 3 Cambanis, Stamatis 3 Di Persio, Luca 3 Duan, Jinqiao 3 Fu, Hongbo 3 Gamboa, Fabrice 3 Gawarecki, Leszek 3 Gozzi, Fausto 3 Katzfuss, Matthias 3 Kokoszka, Piotr S. 3 Konarovskyi, Vitalii 3 Kuelbs, James D. 3 Li, Zhi 3 Liu, Jicheng 3 Loh, Wei-Liem 3 Makagon, Andrzej 3 Marx, Victor 3 Mazzucchi, Sonia 3 McKibben, Mark Anthony 3 Meerschaert, Mark Marvin 3 Miamee, Abol G. 3 Moklyachuk, Mykhaĭlo Pavlovych 3 Nandi, Swagata 3 Razafimandimby, Paul André 3 Redett, David A. 3 Redmann, Martin 3 Röckner, Michael 3 Rohde, Christian 3 Rosenberg, Milton 3 Ruiz-Medina, María Dolores 3 Scheffler, Hans-Peter 3 Sritharan, Sivaguru S. 3 Starkova, Ol’ga Sergeevna 3 Stelzer, Robert 3 Surgailis, Donatas 3 Tjøstheim, Dag B. 3 Trautwein, Christoph 3 Trivedi, Harsh 3 Veerabathiran, Shankar 3 Wan, Li 3 Weron, Aleksander 3 Xiong, Jie 3 Xu, Lihu 3 Xu, Liping ...and 647 more Authors all top 5 Cited in 202 Serials 51 Journal of Multivariate Analysis 29 Stochastic Processes and their Applications 21 Journal of Mathematical Analysis and Applications 17 Statistics & Probability Letters 16 Proceedings of the American Mathematical Society 15 Journal of Theoretical Probability 13 Lithuanian Mathematical Journal 13 The Annals of Probability 13 Journal of Functional Analysis 12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 11 Probability Theory and Related Fields 10 Stochastic Analysis and Applications 9 Potential Analysis 9 Theory of Probability and Mathematical Statistics 8 Journal of Statistical Planning and Inference 8 Bernoulli 7 The Annals of Statistics 7 Integral Equations and Operator Theory 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Stochastics 6 Journal of Soviet Mathematics 6 Electronic Journal of Probability 5 Indian Journal of Pure & Applied Mathematics 5 Mathematical Notes 5 Communications in Statistics. Theory and Methods 5 Journal of Mathematical Sciences (New York) 5 Stochastics and Dynamics 5 Electronic Journal of Statistics 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computers & Mathematics with Applications 4 Rocky Mountain Journal of Mathematics 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Random Operators and Stochastic Equations 4 NoDEA. 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English Series 2 Statistical Science 2 Asymptotic Analysis 2 MCSS. Mathematics of Control, Signals, and Systems 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Journal of Dynamics and Differential Equations 2 Georgian Mathematical Journal 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Advances in Difference Equations 2 Probability Surveys 2 Science China. Mathematics 2 Journal of Agricultural, Biological, and Environmental Statistics 2 Sankhyā. Series A 2 Random Matrices: Theory and Applications 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Analysis Mathematica 1 The Canadian Journal of Statistics 1 International Journal of Control 1 Inverse Problems 1 Journal of the Franklin Institute ...and 102 more Serials all top 5 Cited in 44 Fields 436 Probability theory and stochastic processes (60-XX) 106 Statistics (62-XX) 95 Operator theory (47-XX) 85 Partial differential equations (35-XX) 78 Functional analysis (46-XX) 51 Systems theory; control (93-XX) 36 Measure and integration (28-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Several complex variables and analytic spaces (32-XX) 24 Ordinary differential equations (34-XX) 21 Numerical analysis (65-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Fluid mechanics (76-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Abstract harmonic analysis (43-XX) 10 Information and communication theory, circuits (94-XX) 9 Quantum theory (81-XX) 8 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year