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Parthasarathy, Kalyanapuram Rangachari

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Author ID: parthasarathy.kalyanapuram-rangachari Recent zbMATH articles by "Parthasarathy, Kalyanapuram Rangachari"
Published as: Parthasarathy, K. R.; Parthasarathy, Kalyanapuram Rangachari; Parthasarathy, Kalyanapuram R.; Parthasarathy, K.
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Documents Indexed: 168 Publications since 1960, including 17 Books
Biographic References: 1 Publication
all top 5

Serials

12 Sankhyā. Series A. Methods and Techniques
8 Communications in Mathematical Physics
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Teoriya Veroyatnosteĭ i eë Primeneniya
5 Journal of Functional Analysis
5 Texts and Readings in Mathematics
4 Journal of Mathematical Physics
3 Letters in Mathematical Physics
3 Bulletin of the London Mathematical Society
3 Illinois Journal of Mathematics
3 The Mathematics Student
2 Indian Journal of Pure & Applied Mathematics
2 Reviews in Mathematical Physics
2 Journal of Applied Probability
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of the London Mathematical Society
2 Lecture Notes in Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Acta Mathematica
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Combinatorica
1 Probability and Mathematical Statistics
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Journal of the Australian Mathematical Society. Series A
1 Linear Algebra and its Applications
1 Stochastic Processes and their Applications
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VI. A
1 Expositiones Mathematicae
1 Tatra Mountains Mathematical Publications
1 Journal of Applied Analysis
1 Annals of Mathematics. Second Series
1 Bulletin of the American Mathematical Society
1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
1 Monographs in Mathematics
1 Communications on Stochastic Analysis
1 Asian-European Journal of Mathematics
1 Quantum Information & Computation
1 Annals of Mathematical Statistics
1 Sankhyā. Series A
1 Mathematics Newsletter
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 2,527 times in 2,132 Documents Cited by Year
Probability measures on metric spaces. Zbl 0153.19101
Parthasarathy, K. R.
983
1967
Quantum Ito’s formula and stochastic evolutions. Zbl 0546.60058
Hudson, R. L.; Parthasarathy, K. R.
340
1984
An introduction to quantum stochastic calculus. Zbl 0751.60046
Parthasarathy, K. R.
223
1992
Representation of complex semi-simple Lie groups and Lie algebras. Zbl 0177.18004
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
86
1967
Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Zbl 0237.43005
Parthasarathy, K. R.; Schmidt, K.
75
1972
Probability measures on metric spaces. Reprint of the 1967 original. Zbl 1188.60001
Parthasarathy, K. R.
67
2005
Introduction to probability and measure. Zbl 0395.28001
Parthasarathy, K. R.
50
1977
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
42
2000
Probability distributions on locally compact Abelian groups. Zbl 0129.10902
Parthasarathy, K. R.; Rao, R. Ranga; Varadhan, S. R. S.
41
1963
Unification of Fermion and Boson stochastic calculus. Zbl 0604.60063
Hudson, R. L.; Parthasarathy, K. R.
34
1986
On the category of ergodic measures. Zbl 0103.28101
Parthasarathy, K. R.
29
1961
On the maximal dimension of a completely entangled subspace for finite level quantum systems. Zbl 1080.46014
Parthasarathy, K. R.
26
2004
An introduction to quantum stochastic calculus. Reprint of the 1992 ed. Zbl 1338.81010
Parthasarathy, K. R.
25
2013
Stochastic integral representation of bounded quantum martingales in Fock space. Zbl 0594.60059
Parthasarathy, K. R.; Sinha, K. B.
24
1986
Cohomology of power sets with applications in quantum probability. Zbl 0678.60041
Lindsay, J. M.; Parthasarathy, K. R.
22
1989
Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0541.60066
Hudson, R. L.; Parthasarathy, K. R.
21
1984
On the category of indecomposable distributions on topological groups. Zbl 0104.36205
Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S.
19
1962
Multipliers on locally compact groups. Zbl 0188.20202
Parthasarathy, K. R.
19
1969
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
15
1999
Projective unitary antiunitary representations of locally compact groups. Zbl 0186.28403
Parthasarathy, K. R.
15
1969
Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory. Zbl 0832.46060
Rajarama Bhat, B. V.; Parthasarathy, K. R.
14
1995
Factorisable representations of current groups and the Araki-Woods imbedding theorem. Zbl 0233.22003
Parthasarathy, K. R.; Schmidt, K.
14
1972
On the integral representation of the rate of transmission of a stationary channel. Zbl 0100.33903
Parthasarathy, K. R.
13
1961
Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. Zbl 0485.46038
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.
13
1982
What is a Gaussian state? Zbl 1331.81169
Parthasarathy, K. R.
13
2010
Extremal quantum states in coupled systems. Zbl 1074.81045
Parthasarathy, K. R.
13
2005
An entropic uncertainty principle for quantum measurements. Zbl 1192.81038
Krishna, M.; Parthasarathy, K. R.
12
2002
Square integrable martingales orthogonal to every stochastic integral. Zbl 0376.60052
Parthasarathy, K. R.
11
1978
Introduction to probability and measure. 2nd revised ed. Zbl 1075.28001
Parthasarathy, K. R.
10
2005
A new method for constructing factorisable representations for current groups and current algebras. Zbl 0332.43009
Parthasarathy, K. R.; Schmidt, K.
10
1976
On estimating the state of a finite level quantum system. Zbl 1077.47060
Parthasarathy, K. R.
9
2004
Symplectic dilations, Gaussian states and Gaussian channels. Zbl 1351.60040
Parthasarathy, K. R.
9
2015
On the generators of quantum stochastic flows. Zbl 0914.60033
Lindsay, J. Martin; Parthasarathy, K. R.
9
1998
Kolmogorov’s existence theorem for Markov processes in \(C^*\) algebras. Zbl 0796.60092
Bhat, B. V. Rajarama; Parthasarathy, K. R.
8
1994
A martingale characterization of canonical commutation and anticommutation relations. Zbl 0642.60032
Accardi, Luigi; Parthasarathy, K. R.
8
1988
The passage from random walk to diffusion in quantum probability. II. Zbl 0771.60056
Lindsay, J. M.; Parthasarathy, K. R.
8
1988
The symmetry group of Gaussian states in \({L}^{2}({\mathbb{R}}^{n})\). Zbl 1275.81059
Parthasarathy, Kalyanapuram R.
7
2013
On the derivation of the Schrödinger equation in a Riemannian manifold. Zbl 0176.26301
Parthasarathy, K. R.
7
1968
Infinitely divisible representations and positive definite functions on a compact group. Zbl 0189.55101
Parthasarathy, K. R.
7
1970
Geodetic blocks of diameter three. Zbl 0554.05043
Parthasarathy, K. R.; Srinivasan, N.
6
1984
From particle counting to Gaussian tomography. Zbl 1364.81076
Parthasarathy, K. R.; Sengupta, Ritabrata
6
2015
Stochastic integral representation of some quantum martingales in Fock space. Zbl 0616.46073
Hudson, R. L.; Lindsay, J. M.; Parthasarathy, K. R.
5
1986
Extension of stationary stochastic processes. Zbl 0138.11001
Parthasarathy, K. R.; Varadhan, S. R. S.
5
1964
Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020
Bhatia, Rajendra; Parthasarathy, K. R.
5
1978
Glimpses of India’s statistical heritage. Zbl 0823.00009
Ghosh, J. K. (ed.); Mitra, S. K. (ed.); Parthasarathy, K. R. (ed.)
5
1993
Stable positive definite functions. Zbl 0314.43004
Parthasarathy, K. R.; Schmidt, K.
5
1975
Eigenvalues of matrix-valued analytic maps. Zbl 0389.47009
Parthasarathy, K. R.
5
1978
Some limit theorems in regression theory. Zbl 0097.34903
Parthasarathy, K. R.; Bhattacharya, P. K.
5
1961
Stochastic calculus on local algebras. Zbl 0584.60075
Accardi, Luigi; Parthasarathy, K. R.
4
1985
Stop times in Fock space stochastic calculus. Zbl 0599.60044
Parthasarathy, K. R.; Sinha, Kalyan B.
4
1987
A tool in establishing total variation convergence. Zbl 0602.60005
Parthasarathy, K. R.; Steerneman, Ton
4
1985
Introduction to probability and measure. (Vvedenie v teoriyu veroyatnostej i teoriyu mery). Transl. from the English. Zbl 0529.28001
Parthasarathy, K. R.
4
1983
Construction of quantum diffusions. Zbl 0542.60053
Hudson, R. L.; Parthasarathy, K. R.
4
1984
A note on mixing processes. Zbl 0108.30702
Parthasarathy, K. R.
4
1962
Effective entropy rate and transmission of information through channels with additive random noise. Zbl 0119.34003
Parthasarathy, K. R.
4
1963
Quantum stochastic calculus and quantum Gaussian processes. Zbl 1351.60090
Parthasarathy, K. R.
4
2015
Azéma martingales with drift. Zbl 0852.60051
Parthasarathy, K. R.
4
1995
On the cohomology of a hyperfinite action. Zbl 0384.28017
Parthasarathy, K. R.; Schmidt, K.
4
1977
Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. Zbl 0575.46053
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.
3
1984
Casimir chaos in a boson Fock space. Zbl 0804.60052
Hudson, R. L.; Parthasarathy, K. R.
3
1994
Representation of a class of quantum martingales. II. Zbl 0641.46039
Parthasarathy, K. R.; Sinha, Kalyan B.
3
1988
Markov chains as Evans-Hudson diffusions in Fock space. Zbl 0699.60065
Parthasarathy, K. R.; Sinha, K. B.
3
1990
On a class of time inhomogeneous nonsingular flows and Schrödinger operators. Zbl 0469.58006
Parthasarathy, Kalyanapuram Rangachari
3
1982
A continuous time version of Stinespring’s theorem on completely positive maps. Zbl 0743.46060
Parthasarathy, K. R.
3
1990
Extreme points of the convex set of stochastic maps on a \(C^*\)-algebra. Zbl 0940.46041
Parthasarathy, K. R.
3
1998
Unification of quantum noise processes in Fock spaces. Zbl 0942.46047
Parthasarathy, K. R.; Sinha, Kalyan B.
3
1991
Chaos map for the universal enveloping algebra of \(U(N)\). Zbl 0815.60057
Hudson, R. L.; Parthasarathy, K. R.
3
1995
Remarks on Bell’s inequality for spin correlations. Zbl 1058.82503
Balasubramanian, K.; Gupta, J. C.; Parthasarathy, K. R.
3
1998
From quantum stochastic differential equations to Gisin-Percival state diffusion. Zbl 1370.81099
Parthasarathy, K. R.; Usha Devi, A. R.
3
2017
Quantum stochastic calculus. Zbl 0606.46038
Parthasarathy, K. R.
2
1986
One parameter semigroups of completely positive maps on groups arising from quantum stochastic differential equations. Zbl 0607.46040
Parthasarathy, K. R.
2
1986
Comparison of completely positive maps on a \(C^*\)-algebra and a Lebesgue decomposition theorem. Zbl 0916.46049
Parthasarathy, K. R.
2
1996
On a class of generalised Evans-Hudson flows related to classical Markov processes. Zbl 0797.60073
Mohari, A.; Parthasarathy, K. R.
2
1992
On extremal correlations. Zbl 1005.62061
Parthasarathy, K. R.
2
2002
Exchangeable, stationary, and entangled chains of Gaussian states. Zbl 1325.81019
Parthasarathy, K. R.; Sengupta, Ritabrata
2
2015
Flows of quantum noise. Zbl 0956.60068
Hudson, Robin L.; Lindsay, J. Martin; Parthasarathy, K. R.
2
1998
A quantum stochastic approach to Itô’s formula for Lévy processes. Zbl 0769.60050
Parthasarathy, Kalyanapuram Rangachari
2
1992
Method of formal power series in quantum stochastic calculus. Zbl 0968.60101
Hudson, R. L.; Parthasarathy, K. R.; Pulmannová, S.
2
2000
On consistency of the maximum likelihood method in testing multiple quantum hypotheses. Zbl 1074.81536
Parthasarathy, K. R.
2
2000
Quantum Ito’s formula. Zbl 0713.60066
Parthasarathy, K. R.
2
1989
Stop times in Fock space stochastic calculus. Zbl 0723.60057
Parthasarathy, K. R.; Sinha, Kalyan B.
2
1987
Probability theory on the closed subspaces of a Hilbert space. Zbl 0321.60090
Parthasarathy, K. R.
2
1970
Central limit theorems for positive definite functions on Lie groups. Zbl 0374.60027
Parthasarathy, K. R.
2
1977
Infinitely divisible distributions in \(SL(k,\mathbb{C})\) or \(SL(k,\mathbb{R})\) may be imbedded in diadic convolution semigroups. Zbl 0395.60011
Parthasarathy, K. R.
2
1979
A probabilistic proof of Bochner’s theorem on positive definite functions. Zbl 0164.19302
Bingham, M. S.; Parthasarathy, K. R.
2
1968
Representations of complex semi-simple Lie groups and Lie algebras. Zbl 0178.16802
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
2
1966
On the imbedding of an infinitely divisible distribution in a one- parameter convolution semigroup. Zbl 0178.21302
Parthasarathy, K. R.
2
1967
A note on McMillan’s theorem for countable alphabets. Zbl 0199.21401
Parthasarathy, K. R.
2
1964
The Casimir chaos map for \(U(N)\). Zbl 0798.60068
Hudson, R. L.; Parthasarathy, K. R.
1
1993
A stochastic Dyson series expansion. Zbl 0509.60065
Parthasarathy, K. R.; Sinha, K. B.
1
1983
Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito’s formula. Zbl 0514.60053
Hudson, R. L.; Karandikar, R. L.; Parthasarathy, K. R.
1
1983
Generalised Weyl operators. Zbl 0551.60062
Hudson, R. L.; Parthasarathy, K. R.
1
1984
A remark on the integration of Schrödinger equation using quantum Itô’s formula. Zbl 0566.60064
Parthasarathy, K. R.
1
1984
Coding theorems of classical and quantum information theory. 2nd ed. Zbl 1261.94001
Parthasarathy, K. R.
1
2013
Corrigendum to: “A tool in establishing total variation convergence”. Zbl 0637.60004
Parthasarathy, K. R.; Steerneman, Ton
1
1987
Probability distributions on locally compact abelian groups. Zbl 1316.60025
Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S.
1
2012
Some comments on quantum probability. Zbl 0751.46038
Parthasarathy, K. R.
1
1989
Positivity and contractivity of quantum stochastic flows. Zbl 0919.60092
Lindsay, J. Martin; Parthasarathy, K. R.
1
1996
Quantum probability and strong quantum Markov processes. Zbl 1087.81035
Parthasarathy, K. R.
1
2003
A note on idempotent measures in topological groups. Zbl 0157.36602
Parthasarathy, K. R.
1
1967
From quantum stochastic differential equations to Gisin-Percival state diffusion. Zbl 1370.81099
Parthasarathy, K. R.; Usha Devi, A. R.
3
2017
Symplectic dilations, Gaussian states and Gaussian channels. Zbl 1351.60040
Parthasarathy, K. R.
9
2015
From particle counting to Gaussian tomography. Zbl 1364.81076
Parthasarathy, K. R.; Sengupta, Ritabrata
6
2015
Quantum stochastic calculus and quantum Gaussian processes. Zbl 1351.60090
Parthasarathy, K. R.
4
2015
Exchangeable, stationary, and entangled chains of Gaussian states. Zbl 1325.81019
Parthasarathy, K. R.; Sengupta, Ritabrata
2
2015
An introduction to quantum stochastic calculus. Reprint of the 1992 ed. Zbl 1338.81010
Parthasarathy, K. R.
25
2013
The symmetry group of Gaussian states in \({L}^{2}({\mathbb{R}}^{n})\). Zbl 1275.81059
Parthasarathy, Kalyanapuram R.
7
2013
Coding theorems of classical and quantum information theory. 2nd ed. Zbl 1261.94001
Parthasarathy, K. R.
1
2013
Probability distributions on locally compact abelian groups. Zbl 1316.60025
Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S.
1
2012
What is a Gaussian state? Zbl 1331.81169
Parthasarathy, K. R.
13
2010
Coding theorems of classical and quantum information theory. Zbl 1133.94003
Parthasarathy, K. R.
1
2007
Probability measures on metric spaces. Reprint of the 1967 original. Zbl 1188.60001
Parthasarathy, K. R.
67
2005
Extremal quantum states in coupled systems. Zbl 1074.81045
Parthasarathy, K. R.
13
2005
Introduction to probability and measure. 2nd revised ed. Zbl 1075.28001
Parthasarathy, K. R.
10
2005
On the maximal dimension of a completely entangled subspace for finite level quantum systems. Zbl 1080.46014
Parthasarathy, K. R.
26
2004
On estimating the state of a finite level quantum system. Zbl 1077.47060
Parthasarathy, K. R.
9
2004
Non-stabilizer quantum codes from Abelian subgroups of the error group. Zbl 1213.81048
Arvind, V.; Kurur, P. P.; Parthasarathy, K. R.
1
2004
Quantum probability and strong quantum Markov processes. Zbl 1087.81035
Parthasarathy, K. R.
1
2003
An entropic uncertainty principle for quantum measurements. Zbl 1192.81038
Krishna, M.; Parthasarathy, K. R.
12
2002
On extremal correlations. Zbl 1005.62061
Parthasarathy, K. R.
2
2002
An inducing construction of quantum codes from classical error correcting codes. Zbl 1012.81010
Parthasarathy, K. R.
1
2001
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
42
2000
Method of formal power series in quantum stochastic calculus. Zbl 0968.60101
Hudson, R. L.; Parthasarathy, K. R.; Pulmannová, S.
2
2000
On consistency of the maximum likelihood method in testing multiple quantum hypotheses. Zbl 1074.81536
Parthasarathy, K. R.
2
2000
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
15
1999
Quantum Markov processes with a Christensen-Evans generator in a von Neumann algebra. Zbl 0956.46047
Parthasarathy, K. R.; Sinha, K. B.
1
1999
On the generators of quantum stochastic flows. Zbl 0914.60033
Lindsay, J. Martin; Parthasarathy, K. R.
9
1998
Extreme points of the convex set of stochastic maps on a \(C^*\)-algebra. Zbl 0940.46041
Parthasarathy, K. R.
3
1998
Remarks on Bell’s inequality for spin correlations. Zbl 1058.82503
Balasubramanian, K.; Gupta, J. C.; Parthasarathy, K. R.
3
1998
Flows of quantum noise. Zbl 0956.60068
Hudson, Robin L.; Lindsay, J. Martin; Parthasarathy, K. R.
2
1998
Comparison of completely positive maps on a \(C^*\)-algebra and a Lebesgue decomposition theorem. Zbl 0916.46049
Parthasarathy, K. R.
2
1996
Positivity and contractivity of quantum stochastic flows. Zbl 0919.60092
Lindsay, J. Martin; Parthasarathy, K. R.
1
1996
Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory. Zbl 0832.46060
Rajarama Bhat, B. V.; Parthasarathy, K. R.
14
1995
Azéma martingales with drift. Zbl 0852.60051
Parthasarathy, K. R.
4
1995
Chaos map for the universal enveloping algebra of \(U(N)\). Zbl 0815.60057
Hudson, R. L.; Parthasarathy, K. R.
3
1995
Kolmogorov’s existence theorem for Markov processes in \(C^*\) algebras. Zbl 0796.60092
Bhat, B. V. Rajarama; Parthasarathy, K. R.
8
1994
Casimir chaos in a boson Fock space. Zbl 0804.60052
Hudson, R. L.; Parthasarathy, K. R.
3
1994
Glimpses of India’s statistical heritage. Zbl 0823.00009
Ghosh, J. K.; Mitra, S. K.; Parthasarathy, K. R.
5
1993
The Casimir chaos map for \(U(N)\). Zbl 0798.60068
Hudson, R. L.; Parthasarathy, K. R.
1
1993
An introduction to quantum stochastic calculus. Zbl 0751.60046
Parthasarathy, K. R.
223
1992
On a class of generalised Evans-Hudson flows related to classical Markov processes. Zbl 0797.60073
Mohari, A.; Parthasarathy, K. R.
2
1992
A quantum stochastic approach to Itô’s formula for Lévy processes. Zbl 0769.60050
Parthasarathy, Kalyanapuram Rangachari
2
1992
Unification of quantum noise processes in Fock spaces. Zbl 0942.46047
Parthasarathy, K. R.; Sinha, Kalyan B.
3
1991
Markov chains as Evans-Hudson diffusions in Fock space. Zbl 0699.60065
Parthasarathy, K. R.; Sinha, K. B.
3
1990
A continuous time version of Stinespring’s theorem on completely positive maps. Zbl 0743.46060
Parthasarathy, K. R.
3
1990
Cohomology of power sets with applications in quantum probability. Zbl 0678.60041
Lindsay, J. M.; Parthasarathy, K. R.
22
1989
Quantum Ito’s formula. Zbl 0713.60066
Parthasarathy, K. R.
2
1989
Some comments on quantum probability. Zbl 0751.46038
Parthasarathy, K. R.
1
1989
A martingale characterization of canonical commutation and anticommutation relations. Zbl 0642.60032
Accardi, Luigi; Parthasarathy, K. R.
8
1988
The passage from random walk to diffusion in quantum probability. II. Zbl 0771.60056
Lindsay, J. M.; Parthasarathy, K. R.
8
1988
Representation of a class of quantum martingales. II. Zbl 0641.46039
Parthasarathy, K. R.; Sinha, Kalyan B.
3
1988
Stop times in Fock space stochastic calculus. Zbl 0599.60044
Parthasarathy, K. R.; Sinha, Kalyan B.
4
1987
Stop times in Fock space stochastic calculus. Zbl 0723.60057
Parthasarathy, K. R.; Sinha, Kalyan B.
2
1987
Corrigendum to: “A tool in establishing total variation convergence”. Zbl 0637.60004
Parthasarathy, K. R.; Steerneman, Ton
1
1987
Unification of Fermion and Boson stochastic calculus. Zbl 0604.60063
Hudson, R. L.; Parthasarathy, K. R.
34
1986
Stochastic integral representation of bounded quantum martingales in Fock space. Zbl 0594.60059
Parthasarathy, K. R.; Sinha, K. B.
24
1986
Stochastic integral representation of some quantum martingales in Fock space. Zbl 0616.46073
Hudson, R. L.; Lindsay, J. M.; Parthasarathy, K. R.
5
1986
Quantum stochastic calculus. Zbl 0606.46038
Parthasarathy, K. R.
2
1986
One parameter semigroups of completely positive maps on groups arising from quantum stochastic differential equations. Zbl 0607.46040
Parthasarathy, K. R.
2
1986
Stochastic calculus on local algebras. Zbl 0584.60075
Accardi, Luigi; Parthasarathy, K. R.
4
1985
A tool in establishing total variation convergence. Zbl 0602.60005
Parthasarathy, K. R.; Steerneman, Ton
4
1985
Quantum Ito’s formula and stochastic evolutions. Zbl 0546.60058
Hudson, R. L.; Parthasarathy, K. R.
340
1984
Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0541.60066
Hudson, R. L.; Parthasarathy, K. R.
21
1984
Geodetic blocks of diameter three. Zbl 0554.05043
Parthasarathy, K. R.; Srinivasan, N.
6
1984
Construction of quantum diffusions. Zbl 0542.60053
Hudson, R. L.; Parthasarathy, K. R.
4
1984
Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. Zbl 0575.46053
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.
3
1984
Generalised Weyl operators. Zbl 0551.60062
Hudson, R. L.; Parthasarathy, K. R.
1
1984
A remark on the integration of Schrödinger equation using quantum Itô’s formula. Zbl 0566.60064
Parthasarathy, K. R.
1
1984
Introduction to probability and measure. (Vvedenie v teoriyu veroyatnostej i teoriyu mery). Transl. from the English. Zbl 0529.28001
Parthasarathy, K. R.
4
1983
A stochastic Dyson series expansion. Zbl 0509.60065
Parthasarathy, K. R.; Sinha, K. B.
1
1983
Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito’s formula. Zbl 0514.60053
Hudson, R. L.; Karandikar, R. L.; Parthasarathy, K. R.
1
1983
Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. Zbl 0485.46038
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.
13
1982
On a class of time inhomogeneous nonsingular flows and Schrödinger operators. Zbl 0469.58006
Parthasarathy, Kalyanapuram Rangachari
3
1982
Infinitely divisible distributions in \(SL(k,\mathbb{C})\) or \(SL(k,\mathbb{R})\) may be imbedded in diadic convolution semigroups. Zbl 0395.60011
Parthasarathy, K. R.
2
1979
Square integrable martingales orthogonal to every stochastic integral. Zbl 0376.60052
Parthasarathy, K. R.
11
1978
Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020
Bhatia, Rajendra; Parthasarathy, K. R.
5
1978
Eigenvalues of matrix-valued analytic maps. Zbl 0389.47009
Parthasarathy, K. R.
5
1978
Introduction to probability and measure. Zbl 0395.28001
Parthasarathy, K. R.
50
1977
On the cohomology of a hyperfinite action. Zbl 0384.28017
Parthasarathy, K. R.; Schmidt, K.
4
1977
Central limit theorems for positive definite functions on Lie groups. Zbl 0374.60027
Parthasarathy, K. R.
2
1977
A new method for constructing factorisable representations for current groups and current algebras. Zbl 0332.43009
Parthasarathy, K. R.; Schmidt, K.
10
1976
Stable positive definite functions. Zbl 0314.43004
Parthasarathy, K. R.; Schmidt, K.
5
1975
Every completely stable distribution is normal. Zbl 0275.60024
Parthasarathy, K. R.
1
1973
On the imbedding of an infinitely divisible distribution in a one parameter convolution semigroup. Zbl 0276.60023
Parthasarathy, K. R.
1
1973
Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Zbl 0237.43005
Parthasarathy, K. R.; Schmidt, K.
75
1972
Factorisable representations of current groups and the Araki-Woods imbedding theorem. Zbl 0233.22003
Parthasarathy, K. R.; Schmidt, K.
14
1972
Infinitely divisible representations and positive definite functions on a compact group. Zbl 0189.55101
Parthasarathy, K. R.
7
1970
Probability theory on the closed subspaces of a Hilbert space. Zbl 0321.60090
Parthasarathy, K. R.
2
1970
Multipliers on locally compact groups. Zbl 0188.20202
Parthasarathy, K. R.
19
1969
Projective unitary antiunitary representations of locally compact groups. Zbl 0186.28403
Parthasarathy, K. R.
15
1969
On the derivation of the Schrödinger equation in a Riemannian manifold. Zbl 0176.26301
Parthasarathy, K. R.
7
1968
A probabilistic proof of Bochner’s theorem on positive definite functions. Zbl 0164.19302
Bingham, M. S.; Parthasarathy, K. R.
2
1968
Probability measures on metric spaces. Zbl 0153.19101
Parthasarathy, K. R.
983
1967
Representation of complex semi-simple Lie groups and Lie algebras. Zbl 0177.18004
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
86
1967
On the imbedding of an infinitely divisible distribution in a one- parameter convolution semigroup. Zbl 0178.21302
Parthasarathy, K. R.
2
1967
A note on idempotent measures in topological groups. Zbl 0157.36602
Parthasarathy, K. R.
1
1967
Representations of complex semi-simple Lie groups and Lie algebras. Zbl 0178.16802
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
2
1966
Extension of stationary stochastic processes. Zbl 0138.11001
Parthasarathy, K. R.; Varadhan, S. R. S.
5
1964
A note on McMillan’s theorem for countable alphabets. Zbl 0199.21401
Parthasarathy, K. R.
2
1964
Probability distributions on locally compact Abelian groups. Zbl 0129.10902
Parthasarathy, K. R.; Rao, R. Ranga; Varadhan, S. R. S.
41
1963
...and 6 more Documents
all top 5

Cited by 2,079 Authors

33 Gough, John E.
32 Parthasarathy, Kalyanapuram Rangachari
28 Accardi, Luigi
25 Fel’dman, Gennadiĭ Mikhaĭlovich
25 Hudson, Robin Lyth
25 Lindsay, J. Martin
20 Belavkin, Viacheslav
19 Fagnola, Franco
19 Petersen, Ian Richard
18 Ji, Un Cig
17 Applebaum, David B.
17 Wang, Caishi
16 Albeverio, Sergio A.
16 Jørgensen, Palle E. T.
15 James, Matthew R.
14 Ayoola, Ezekiel O.
14 Sinha, Kalyan B.
13 Bhatia, Rajendra
13 Prakasa Rao, B. L. S.
12 Röckner, Michael
12 Schürmann, Michael
11 Bhat, B. V. Rajarama
11 Kholevo, Aleksandr Semënovich
11 Kondrat’yev, Yuriĭ Grygorovych
11 Schmidt, Klaus
10 Barchielli, Alberto
10 Nurdin, Hendra Ishwara
10 Ostaszewski, Adam J.
9 Doberkat, Ernst-Erich
9 Joseph, Anthony
9 Jurek, Zbigniew J.
9 Lu, Yun Gang
9 Shirokov, Maksim Evgen’evich
9 Sun, Yeneng
8 Chari, Vyjayanthi
8 Kozitsky, Yuri Vasil’evich
8 Lee, Keonhee
8 Liebscher, Volkmar
8 Lowen, Robert
8 Morales, Carlos Arnoldo
8 Nowak, Andrzej S.
8 Rebolledo Berroeta, Rolando
8 Speicher, Roland
7 Belton, Alexander C. R.
7 Bingham, Nicholas Hugh
7 Dani, Shrikrishna Gopalrao
7 Huang, Zhiyuan
7 Kosaki, Hideki
7 Majumdar, Suman
7 McCrudden, Michael
7 Obata, Nobuaki
7 Shah, Riddhi
7 Siebert, Eberhard
7 Umanità, Veronica
7 Vladimirov, Igor G.
7 Zhang, Guofeng
6 Attal, Stéphane
6 Dong, Chao-Ping
6 Gliklikh, Yuriĭ Evgen’evich
6 Greenstein, Jacob
6 Hazod, Wilfried
6 Kannan, Devika
6 Kratschmer, Volker
6 Lytvynov, Eugene W.
6 Nikeghbali, Ashkan
6 Oppel, Ulrich G.
6 Papageorgiou, Nikolaos S.
6 Pellegrini, Clément
6 Skalski, Adam G.
6 Skeide, Michael
6 Šujan, Štefan
6 Tortrat, Albert
6 Vershik, Anatoliĭ Moiseevich
6 Worrell, James B.
5 Allen, Beth
5 Bingham, Michael S.
5 Boyarsky, Abraham
5 Cattaneo, U.
5 Daletskii, Alexei
5 Ekhaguere, G. O. S.
5 Fichtner, Karl-Heinz
5 Freudenberg, Wolfgang
5 Goswami, Debashish
5 Graev, Mark Iosifovich
5 Gregoratti, Matteo
5 Heyer, Herbert
5 Høegh-Krohn, Raphael J.
5 Karatzas, Ioannis
5 Kolokoltsov, Vassili N.
5 Lepowsky, James
5 López-Díaz, Miguel
5 Macci, Claudio
5 Mora, Carlos M.
5 Myronyuk, Margaryta V”yacheslavivna
5 Olsen, Lars Ole Ronnow
5 Page, Frank H. jun.
5 Pan, Yu
5 Pasurek, Tatiana
5 Razafimandimby, Paul André
5 Shimomura, Hiroaki
...and 1,979 more Authors
all top 5

Cited in 368 Serials

103 Journal of Mathematical Physics
92 Journal of Functional Analysis
76 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
69 Communications in Mathematical Physics
66 Journal of Mathematical Analysis and Applications
61 Infinite Dimensional Analysis, Quantum Probability and Related Topics
44 Probability Theory and Related Fields
39 Transactions of the American Mathematical Society
33 Journal of Economic Theory
32 Statistics & Probability Letters
30 Mathematische Zeitschrift
30 Linear Algebra and its Applications
30 Stochastic Processes and their Applications
29 Journal of Theoretical Probability
28 Journal of Mathematical Economics
27 Stochastic Analysis and Applications
26 Mathematical Notes
24 Advances in Mathematics
23 Fuzzy Sets and Systems
22 Proceedings of the American Mathematical Society
21 Reports on Mathematical Physics
21 The Annals of Probability
19 Journal of Statistical Physics
19 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 The Annals of Applied Probability
18 The Annals of Statistics
18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
18 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
17 Journal of Multivariate Analysis
17 Journal of Mathematical Sciences (New York)
16 Letters in Mathematical Physics
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Automatica
16 Quantum Information Processing
15 Mathematische Nachrichten
15 SIAM Journal on Control and Optimization
14 Economic Theory
13 Israel Journal of Mathematics
13 Reviews in Mathematical Physics
13 Applied Mathematics and Optimization
13 Topology and its Applications
12 Inventiones Mathematicae
12 Journal of Algebra
12 Journal of Soviet Mathematics
11 Lithuanian Mathematical Journal
11 Journal of Statistical Planning and Inference
11 Mathematische Annalen
11 Journal of Complexity
10 International Journal of Game Theory
10 Kybernetika
10 Doklady Mathematics
10 New Journal of Physics
9 International Journal of Theoretical Physics
9 Physics Letters. A
9 Theory of Probability and its Applications
9 Journal of Differential Equations
9 Monatshefte für Mathematik
9 Ergodic Theory and Dynamical Systems
8 Linear and Multilinear Algebra
8 Ukrainian Mathematical Journal
8 Games and Economic Behavior
7 Indian Journal of Pure & Applied Mathematics
7 Compositio Mathematica
7 Journal of Econometrics
7 Journal of Optimization Theory and Applications
7 Mathematica Slovaca
7 Theoretical Computer Science
7 Systems & Control Letters
7 Acta Applicandae Mathematicae
7 Annales de l’Institut Henri Poincaré. Physique Théorique
7 Russian Journal of Mathematical Physics
7 Electronic Journal of Probability
7 Open Systems & Information Dynamics
7 Annales Henri Poincaré
7 Foundations of Physics
7 Electronic Journal of Statistics
6 Acta Mathematica
6 Archiv der Mathematik
6 Memoirs of the American Mathematical Society
6 Information and Computation
6 Stochastics and Stochastics Reports
6 Bulletin des Sciences Mathématiques
6 Finance and Stochastics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Stochastics
5 Bulletin of the Australian Mathematical Society
5 Metrika
5 Theoretical and Mathematical Physics
5 Annals of the Institute of Statistical Mathematics
5 Applied Mathematics and Computation
5 Functional Analysis and its Applications
5 Integral Equations and Operator Theory
5 Manuscripta Mathematica
5 Semigroup Forum
5 Siberian Mathematical Journal
5 Mathematical Social Sciences
5 Indagationes Mathematicae. New Series
5 Potential Analysis
5 Discrete and Continuous Dynamical Systems
5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
...and 268 more Serials
all top 5

Cited in 60 Fields

987 Probability theory and stochastic processes (60-XX)
543 Quantum theory (81-XX)
348 Functional analysis (46-XX)
224 Operator theory (47-XX)
190 Measure and integration (28-XX)
183 Statistics (62-XX)
158 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
136 Topological groups, Lie groups (22-XX)
99 Statistical mechanics, structure of matter (82-XX)
98 Abstract harmonic analysis (43-XX)
96 Dynamical systems and ergodic theory (37-XX)
90 Systems theory; control (93-XX)
74 Linear and multilinear algebra; matrix theory (15-XX)
73 Partial differential equations (35-XX)
72 General topology (54-XX)
64 Nonassociative rings and algebras (17-XX)
56 Information and communication theory, circuits (94-XX)
46 Operations research, mathematical programming (90-XX)
45 Group theory and generalizations (20-XX)
45 Global analysis, analysis on manifolds (58-XX)
44 Numerical analysis (65-XX)
44 Computer science (68-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
28 Combinatorics (05-XX)
27 Real functions (26-XX)
26 Ordinary differential equations (34-XX)
25 Mathematical logic and foundations (03-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
21 Differential geometry (53-XX)
20 Number theory (11-XX)
20 Fluid mechanics (76-XX)
16 Associative rings and algebras (16-XX)
15 Category theory; homological algebra (18-XX)
12 Algebraic geometry (14-XX)
12 Functions of a complex variable (30-XX)
11 Potential theory (31-XX)
11 Special functions (33-XX)
11 Approximations and expansions (41-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Convex and discrete geometry (52-XX)
9 Biology and other natural sciences (92-XX)
8 Difference and functional equations (39-XX)
7 Integral transforms, operational calculus (44-XX)
7 Integral equations (45-XX)
7 Mechanics of particles and systems (70-XX)
7 Relativity and gravitational theory (83-XX)
6 History and biography (01-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Manifolds and cell complexes (57-XX)
6 Optics, electromagnetic theory (78-XX)
5 Geometry (51-XX)
5 Algebraic topology (55-XX)
4 Sequences, series, summability (40-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 \(K\)-theory (19-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)

Citations by Year

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