# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 148 Publications since 1958, including 23 Books Biographic References: 3 Publications
all top 5

#### Co-Authors

 80 single-authored 7 Babbitt, Donald George 7 Truini, Piero 6 Digernes, Trond 6 Fioresi, Rita 6 Kolk, Johan A. C. 6 Lledó, María Antonia 5 Cassinelli, Gianni 5 Ranga Rao, R. 4 Carmeli, Claudio 3 Duistermaat, Johannes Jisse 3 Virtanen, Jukka T. 3 Weisbart, David 2 Blasius, Don 2 Fernandez, Rahul N. 2 Ferrara, Sergio 2 Parthasarathy, Kalyanapuram Rangachari 2 Ramakrishnan, Dinakar 2 Rao, Calyampudi Radhakrishna 2 Toigo, Alessandro 2 Trombi, P. C. 2 Varadhan, S. R. Srinivasa 1 Accardi, Luigi 1 Arens, Richard Friederich 1 Baldi, Paolo 1 Beltrametti, Enrico G. 1 Bugajski, Sławomir 1 Dalang, Robert C. 1 D’Auria, Riccardo 1 Doran, Robert S. 1 Dragovich, Branko 1 Elman, Richard S. 1 Enright, Thomas J. 1 Fisz, Marek 1 Gangolli, Ramesh 1 Husstad, E. 1 Katanaev, Mikhaĭl Orinovich 1 Khrennikov, Andreĭ Yur’evich 1 Kozlov, Valeriĭ Vasil’evich 1 Kozyrev, Sergeĭ Vladimirovich 1 Liedó, M. A. 1 Maciá, Óscar 1 Marinucci, Domenico 1 Murtagh, Fionn D. 1 Ohya, Masanori 1 Olivieri, Gennaro 1 Rogawski, Jonathan D. 1 Schacher, Murray M. 1 Stern, Ronald John 1 Taylor, David J. 1 Van Proeyen, Antoine 1 Vladimirov, Vasiliĭ Sergeevich 1 Weisbart, D. E.
all top 5

#### Serials

 9 Pacific Journal of Mathematics 8 Letters in Mathematical Physics 6 Journal of Mathematical Physics 5 Expositiones Mathematicae 5 Sankhyā 3 Bulletin of the American Mathematical Society. New Series 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Annals of Mathematics. Second Series 3 Bulletin of the American Mathematical Society 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Reviews in Mathematical Physics 2 The Mathematical Intelligencer 2 Compositio Mathematica 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematica Scandinavica 2 The Mathematics Student 2 International Journal of Mathematics 2 Cambridge Studies in Advanced Mathematics 2 Lecture Notes in Mathematics 2 Annals of Mathematical Statistics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Geometry and Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Journal of the Faculty of Science. Section I A 1 Journal of Statistical Planning and Inference 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Memoirs of the American Mathematical Society 1 Sankhyā. Series A. Methods and Techniques 1 Selected Translations in Mathematical Statistics and Probability 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Indagationes Mathematicae. New Series 1 Methods and Applications of Analysis 1 Electronic Communications in Probability 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Transformation Groups 1 Astérisque 1 Contemporary Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Graduate Texts in Mathematics 1 Mathematical World 1 Proceedings of Symposia in Pure Mathematics 1 Texts and Readings in Mathematics 1 Courant Lecture Notes in Mathematics 1 Communications on Stochastic Analysis
all top 5

#### Fields

 44 Topological groups, Lie groups (22-XX) 41 Quantum theory (81-XX) 25 History and biography (01-XX) 22 Nonassociative rings and algebras (17-XX) 19 Abstract harmonic analysis (43-XX) 17 Number theory (11-XX) 10 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Algebraic geometry (14-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Relativity and gravitational theory (83-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

97 Publications have been cited 2,235 times in 2,012 Documents Cited by Year
Lie groups, Lie algebras, and their representations. Reprint of the 1974 edition. Zbl 0955.22500
1984
Geometry of quantum theory. Vol. I. Zbl 0155.56802
1968
Lie groups, Lie algebras, and their representations. Zbl 0371.22001
1974
Geometry of quantum theory. 2nd ed. Zbl 0581.46061
1985
Harmonic analysis of spherical functions on real reductive groups. Zbl 0675.43004
1988
Supersymmetry for mathematicians: an introduction. Zbl 1142.58009
2004
Harmonic analysis on real reductive groups. Zbl 0354.43001
1977
Representation of complex semi-simple Lie groups and Lie algebras. Zbl 0177.18004
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
1967
Groups of automorphisms of Borel spaces. Zbl 0192.14203
1963
Geometry of quantum theory. Vol. II: Quantum theory of covariant systems. Zbl 0194.28802
1970
Probability in physics and a theorem on simultaneous observability. Zbl 0109.44705
1962
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups. Zbl 0524.43008
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1983
Spectra of compact locally symmetric manifolds of negative curvature. Zbl 0434.58019
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1979
Path integrals for a class of $$p$$-adic Schrödinger equations. Zbl 0868.47047
1997
Weak convergence of measures on separable metric spaces. Zbl 0082.26505
1958
Formal reduction theory of meromorphic differential equations: a group theoretic view. Zbl 0533.34010
Babbitt, Donald G.; Varadarajan, V. S.
1983
Spherical transforms on semisimple Lie groups. Zbl 0203.12802
Trombi, P. C.; Varadarajan, V. S.
1971
On the convergence of sample probability distributions. Zbl 0082.34201
1958
The Minkowski and conformal superspaces. Zbl 1152.81437
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2007
Finite approximations to quantum systems. Zbl 0855.47046
1994
Spinor algebras. Zbl 0994.15031
D’Auria, R.; Ferrara, S.; Lledó, M. A.; Varadarajan, V. S.
2001
Local moduli for meromorphic differential equations. Zbl 0683.34003
Babbitt, D. G.; Varadarajan, V. S.
1989
An introduction to harmonic analysis on semisimple Lie groups. Zbl 0753.22003
1989
Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles. Zbl 1124.22007
Carmeli, C.; Cassinelli, G.; Toigo, A.; Varadarajan, V. S.
2006
Measures on topological spaces. Zbl 0152.04202
1961
Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum. Zbl 0244.43006
Trombi, P. C.; Varadarajan, V. S.
1972
Discrimination of Gaussian processes. Zbl 0122.14801
Rao, C. R.; Varadarajan, V. S.
1963
Euler and his work on infinite series. Zbl 1135.01010
2007
On the transverse symbol of vectorial distributions and some applications to harmonic analysis. Zbl 0892.22010
Kolk, Johan A. C.; Varadarajan, V. S.
1996
On an infinitesimal characterization of the discrete series. Zbl 0304.22011
Enright, Thomas J.; Varadarajan, V. S.
1975
On the ring of invariant polynomials on a semisimple Lie algebra. Zbl 0205.33303
1968
Linear meromorphic differential equations: A modern point of view. Zbl 0862.34004
1996
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups. Zbl 1128.60039
Baldi, Paolo; Marinucci, Domenico; Varadarajan, Veeravalli S.
2007
Euler through time. A new look at old themes. Zbl 1096.01013
2006
A condition for absolute continuity of infinitely divisible distribution functions. Zbl 0113.12801
1963
Reflections on quanta, symmetries, and supersymmetries. Zbl 1222.81026
2011
On the concept of Einstein-Podolsky-Rosen states and their structure. Zbl 0981.81016
2000
The method of stationary phase and applications to geometry and analysis on Lie groups. Zbl 0903.43004
1997
Quantization of reductive Lie algebras: Construction and universality. Zbl 0795.17014
1993
Multipliers for the symmetry groups of $$p$$-adic spacetime. Zbl 1187.81141
2009
$$\text{Spin}(7)$$-subgroups of $$\text{SO}(8)$$ and $$\text{Spin}(8)$$. Zbl 0984.22010
2001
An introduction to harmonic analysis on semisimple Lie groups. Paperback edition. Zbl 0924.22014
1999
The concept of a quantum semisimple group. Zbl 0736.17017
1991
Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations. Zbl 0583.34007
Babbitt, Donald G.; Varadarajan, V. S.
1985
Riesz distributions. Zbl 0773.46016
Kolk, Johan A. C.; Varadarajan, V. S.
1991
Infinitesimal theory of representations of semisimple Lie groups. Zbl 0466.22015
1980
Structure, classification, and conformal symmetry, of elementary particles over non-archimedean space-time. Zbl 1181.22021
2009
Arithmetic quantum physics: why, what, and whither. Zbl 1098.11065
2004
Finite approximation of Weyl systems. Zbl 0955.43005
1999
$$SU(2)$$ Poisson-Lie $$T$$ duality. Zbl 0940.81038
Lledó, M. A.; Varadarajan, V. S.
1998
Quantum theory and geometry: Sixty years after Neumann. Zbl 0796.53073
1993
On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields. Zbl 0704.22016
Cassinelli, G.; Olivieri, G.; Truini, P.; Varadarajan, V. S.
1989
Erratum to ’Probability in physics and a theorem on simultaneous observability’. Zbl 0138.22102
1965
A limit theorem for densities. Zbl 0101.11603
Ranga Rao, R.; Varadarajan, V. S.
1960
Extensions of convexity models. Zbl 1008.46028
Beltrametti, E. G.; Bugajski, S.; Varadarajan, V. S.
2000
Universal deformations of reductive Lie algebras. Zbl 0772.17006
1992
Lorentz invariant distributions supported on the forward light cone. Zbl 0772.46017
Kolk, Johan A. C.; Varadarajan, V. S.
1992
Meromorphic differential equations. Zbl 0722.34006
1991
Convergence of stochastic processes. Zbl 0107.12402
1961
A useful convergence theorem. Zbl 0088.11303
1958
Schrödinger operators on local fields: self-adjointness and path integral representations for propagators. Zbl 1162.47038
Digernes, Trond; Varadarajan, V. S.; Weisbart, D. E.
2008
On Accardi’s notion of complementary observables. Zbl 1054.81003
2002
Quantum theory over unconventional fields and rings. Zbl 1037.81505
2000
Variations on a theme of Schwinger and Weyl. Zbl 0830.22006
1995
Hilbert space representations of the Poincaré group for the Landau gauge. Zbl 0747.46051
Cassinelli, G.; Truini, P.; Varadarajan, V. S.
1991
The theory of characters and the discrete series for semisimple Lie groups. Zbl 0295.22014
1973
Representations of semi-simple Lie algebras. Zbl 0143.36202
1965
Erratum to: Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles. Zbl 1226.22026
Carmeli, C.; Cassinelli, G.; Toigo, A.; Varadarajan, V. S.
2011
Notes on Euler’s work on divergent factorial series and their associated continued fractions. Zbl 1203.11023
2010
Convergence of quantum systems on grids. Zbl 1119.81059
2007
Models for the irreducible representation of a Heisenberg group. Zbl 1077.81054
2004
Some mathematical reminiscences. Zbl 1071.01523
2002
Algebra in ancient and modern times. Zbl 0917.01002
1998
Universal deformations of simple Lie algebras. Zbl 0755.17015
1992
Local moduli for meromorphic differential equations. Zbl 0579.34005
Babbitt, Donald G.; Varadarajan, V. S.
1985
Asymptotic properties of eigenvalues and eigenfunctions of invariant differential operators on symmetric and locally symmetric spaces. Zbl 0554.43006
1984
Representations of complex semi-simple Lie groups and Lie algebras. Zbl 0178.16802
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
1966
On a theorem in metric spaces. Zbl 0088.04104
Varadarajan, V. S.; Ranga Rao, R.
1958
Highest weight Harish-Chandra supermodules and their geometric realizations. Zbl 1445.17004
Carmeli, C.; Fioresi, R.; Varadarajan, V. S.
2020
Erratum to: “The Minkowski and conformal superspaces”. Zbl 1331.81221
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2015
Introduction. Zbl 1246.81064
2011
Structure, classification, and conformal symmetry of elementary particles over non-Archimedean space-time. Zbl 1258.81050
Varadarajan, V. S.; Virtanen, Jukka T.
2010
Special geometry for arbitrary signatures. Zbl 1205.53076
Lledó, María A.; Maciá, Óscar; van Proeyen, Antoine; Varadarajan, Veeravalli S.
2010
Matrix Airy functions for compact Lie groups. Zbl 1179.22008
Fernandez, Rahul N.; Varadarajan, V. S.
2009
Airy functions over local fields. Zbl 1195.11154
Fernandez, Rahul N.; Varadarajan, V. S.; Weisbart, David
2009
On the deformation quantization of affine algebraic varieties. Zbl 1073.53120
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2005
Vector bundles and connections in physics and mathematics: some historical remarks. Zbl 1060.14018
2003
Some remarks on the continuity of random fields on Lipschitz spaces. Zbl 0971.60055
2000
The selected works of V. S. Varadarajan. Zbl 1151.00305
1999
Quantum kinematics and projective unitary representations of abelian groups. Zbl 1050.81548
1996
Symmetry in mathematics. Zbl 0787.22026
1992
Harish-Chandra 1923-1983. Zbl 0867.01022
1991
Some remarks on the asymptotic existence theorem for meromorphic differential equations. Zbl 0721.34007
Babbitt, Donald G.; Varadarajan, V. S.
1989
The eigenvalue problem on negatively curved compact locally symmetric manifolds. Zbl 0603.53026
1986
Harish-Chandra (1923-1983). Zbl 0553.01016
1984
Erratum to:Spectra of compact locally symmetric manifolds of negative curvature. Zbl 0447.58034
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1979
On a problem in ergodic theory. Zbl 0192.14202
1962
Highest weight Harish-Chandra supermodules and their geometric realizations. Zbl 1445.17004
Carmeli, C.; Fioresi, R.; Varadarajan, V. S.
2020
Erratum to: “The Minkowski and conformal superspaces”. Zbl 1331.81221
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2015
Reflections on quanta, symmetries, and supersymmetries. Zbl 1222.81026
2011
Erratum to: Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles. Zbl 1226.22026
Carmeli, C.; Cassinelli, G.; Toigo, A.; Varadarajan, V. S.
2011
Introduction. Zbl 1246.81064
2011
Notes on Euler’s work on divergent factorial series and their associated continued fractions. Zbl 1203.11023
2010
Structure, classification, and conformal symmetry of elementary particles over non-Archimedean space-time. Zbl 1258.81050
Varadarajan, V. S.; Virtanen, Jukka T.
2010
Special geometry for arbitrary signatures. Zbl 1205.53076
Lledó, María A.; Maciá, Óscar; van Proeyen, Antoine; Varadarajan, Veeravalli S.
2010
Multipliers for the symmetry groups of $$p$$-adic spacetime. Zbl 1187.81141
2009
Structure, classification, and conformal symmetry, of elementary particles over non-archimedean space-time. Zbl 1181.22021
2009
Matrix Airy functions for compact Lie groups. Zbl 1179.22008
Fernandez, Rahul N.; Varadarajan, V. S.
2009
Airy functions over local fields. Zbl 1195.11154
Fernandez, Rahul N.; Varadarajan, V. S.; Weisbart, David
2009
Schrödinger operators on local fields: self-adjointness and path integral representations for propagators. Zbl 1162.47038
Digernes, Trond; Varadarajan, V. S.; Weisbart, D. E.
2008
The Minkowski and conformal superspaces. Zbl 1152.81437
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2007
Euler and his work on infinite series. Zbl 1135.01010
2007
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups. Zbl 1128.60039
Baldi, Paolo; Marinucci, Domenico; Varadarajan, Veeravalli S.
2007
Convergence of quantum systems on grids. Zbl 1119.81059
2007
Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles. Zbl 1124.22007
Carmeli, C.; Cassinelli, G.; Toigo, A.; Varadarajan, V. S.
2006
Euler through time. A new look at old themes. Zbl 1096.01013
2006
On the deformation quantization of affine algebraic varieties. Zbl 1073.53120
Fioresi, R.; Lledó, M. A.; Varadarajan, V. S.
2005
Supersymmetry for mathematicians: an introduction. Zbl 1142.58009
2004
Arithmetic quantum physics: why, what, and whither. Zbl 1098.11065
2004
Models for the irreducible representation of a Heisenberg group. Zbl 1077.81054
2004
Vector bundles and connections in physics and mathematics: some historical remarks. Zbl 1060.14018
2003
On Accardi’s notion of complementary observables. Zbl 1054.81003
2002
Some mathematical reminiscences. Zbl 1071.01523
2002
Spinor algebras. Zbl 0994.15031
D’Auria, R.; Ferrara, S.; Lledó, M. A.; Varadarajan, V. S.
2001
$$\text{Spin}(7)$$-subgroups of $$\text{SO}(8)$$ and $$\text{Spin}(8)$$. Zbl 0984.22010
2001
On the concept of Einstein-Podolsky-Rosen states and their structure. Zbl 0981.81016
2000
Extensions of convexity models. Zbl 1008.46028
Beltrametti, E. G.; Bugajski, S.; Varadarajan, V. S.
2000
Quantum theory over unconventional fields and rings. Zbl 1037.81505
2000
Some remarks on the continuity of random fields on Lipschitz spaces. Zbl 0971.60055
2000
An introduction to harmonic analysis on semisimple Lie groups. Paperback edition. Zbl 0924.22014
1999
Finite approximation of Weyl systems. Zbl 0955.43005
1999
The selected works of V. S. Varadarajan. Zbl 1151.00305
1999
$$SU(2)$$ Poisson-Lie $$T$$ duality. Zbl 0940.81038
Lledó, M. A.; Varadarajan, V. S.
1998
Algebra in ancient and modern times. Zbl 0917.01002
1998
Path integrals for a class of $$p$$-adic Schrödinger equations. Zbl 0868.47047
1997
The method of stationary phase and applications to geometry and analysis on Lie groups. Zbl 0903.43004
1997
On the transverse symbol of vectorial distributions and some applications to harmonic analysis. Zbl 0892.22010
Kolk, Johan A. C.; Varadarajan, V. S.
1996
Linear meromorphic differential equations: A modern point of view. Zbl 0862.34004
1996
Quantum kinematics and projective unitary representations of abelian groups. Zbl 1050.81548
1996
Variations on a theme of Schwinger and Weyl. Zbl 0830.22006
1995
Finite approximations to quantum systems. Zbl 0855.47046
1994
Quantization of reductive Lie algebras: Construction and universality. Zbl 0795.17014
1993
Quantum theory and geometry: Sixty years after Neumann. Zbl 0796.53073
1993
Universal deformations of reductive Lie algebras. Zbl 0772.17006
1992
Lorentz invariant distributions supported on the forward light cone. Zbl 0772.46017
Kolk, Johan A. C.; Varadarajan, V. S.
1992
Universal deformations of simple Lie algebras. Zbl 0755.17015
1992
Symmetry in mathematics. Zbl 0787.22026
1992
The concept of a quantum semisimple group. Zbl 0736.17017
1991
Riesz distributions. Zbl 0773.46016
Kolk, Johan A. C.; Varadarajan, V. S.
1991
Meromorphic differential equations. Zbl 0722.34006
1991
Hilbert space representations of the Poincaré group for the Landau gauge. Zbl 0747.46051
Cassinelli, G.; Truini, P.; Varadarajan, V. S.
1991
Harish-Chandra 1923-1983. Zbl 0867.01022
1991
Local moduli for meromorphic differential equations. Zbl 0683.34003
Babbitt, D. G.; Varadarajan, V. S.
1989
An introduction to harmonic analysis on semisimple Lie groups. Zbl 0753.22003
1989
On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields. Zbl 0704.22016
Cassinelli, G.; Olivieri, G.; Truini, P.; Varadarajan, V. S.
1989
Some remarks on the asymptotic existence theorem for meromorphic differential equations. Zbl 0721.34007
Babbitt, Donald G.; Varadarajan, V. S.
1989
Harmonic analysis of spherical functions on real reductive groups. Zbl 0675.43004
1988
The eigenvalue problem on negatively curved compact locally symmetric manifolds. Zbl 0603.53026
1986
Geometry of quantum theory. 2nd ed. Zbl 0581.46061
1985
Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations. Zbl 0583.34007
Babbitt, Donald G.; Varadarajan, V. S.
1985
Local moduli for meromorphic differential equations. Zbl 0579.34005
Babbitt, Donald G.; Varadarajan, V. S.
1985
Lie groups, Lie algebras, and their representations. Reprint of the 1974 edition. Zbl 0955.22500
1984
Asymptotic properties of eigenvalues and eigenfunctions of invariant differential operators on symmetric and locally symmetric spaces. Zbl 0554.43006
1984
Harish-Chandra (1923-1983). Zbl 0553.01016
1984
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups. Zbl 0524.43008
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1983
Formal reduction theory of meromorphic differential equations: a group theoretic view. Zbl 0533.34010
Babbitt, Donald G.; Varadarajan, V. S.
1983
Infinitesimal theory of representations of semisimple Lie groups. Zbl 0466.22015
1980
Spectra of compact locally symmetric manifolds of negative curvature. Zbl 0434.58019
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1979
Erratum to:Spectra of compact locally symmetric manifolds of negative curvature. Zbl 0447.58034
Duistermaat, J. J.; Kolk, J. A. C.; Varadarajan, V. S.
1979
Harmonic analysis on real reductive groups. Zbl 0354.43001
1977
On an infinitesimal characterization of the discrete series. Zbl 0304.22011
Enright, Thomas J.; Varadarajan, V. S.
1975
Lie groups, Lie algebras, and their representations. Zbl 0371.22001
1974
The theory of characters and the discrete series for semisimple Lie groups. Zbl 0295.22014
1973
Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum. Zbl 0244.43006
Trombi, P. C.; Varadarajan, V. S.
1972
Spherical transforms on semisimple Lie groups. Zbl 0203.12802
Trombi, P. C.; Varadarajan, V. S.
1971
Geometry of quantum theory. Vol. II: Quantum theory of covariant systems. Zbl 0194.28802
1970
Geometry of quantum theory. Vol. I. Zbl 0155.56802
1968
On the ring of invariant polynomials on a semisimple Lie algebra. Zbl 0205.33303
1968
Representation of complex semi-simple Lie groups and Lie algebras. Zbl 0177.18004
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
1967
Representations of complex semi-simple Lie groups and Lie algebras. Zbl 0178.16802
Parthasarathy, K. R.; Ranga Rao, R.; Varadarajan, V. S.
1966
Erratum to ’Probability in physics and a theorem on simultaneous observability’. Zbl 0138.22102
1965
Representations of semi-simple Lie algebras. Zbl 0143.36202
1965
Groups of automorphisms of Borel spaces. Zbl 0192.14203
1963
Discrimination of Gaussian processes. Zbl 0122.14801
Rao, C. R.; Varadarajan, V. S.
1963
A condition for absolute continuity of infinitely divisible distribution functions. Zbl 0113.12801
1963
Probability in physics and a theorem on simultaneous observability. Zbl 0109.44705
1962
On a problem in ergodic theory. Zbl 0192.14202
1962
Measures on topological spaces. Zbl 0152.04202
1961
Convergence of stochastic processes. Zbl 0107.12402
1961
A limit theorem for densities. Zbl 0101.11603
Ranga Rao, R.; Varadarajan, V. S.
1960
Weak convergence of measures on separable metric spaces. Zbl 0082.26505
1958
On the convergence of sample probability distributions. Zbl 0082.34201
1958
A useful convergence theorem. Zbl 0088.11303
1958
On a theorem in metric spaces. Zbl 0088.04104
Varadarajan, V. S.; Ranga Rao, R.
1958
all top 5

#### Cited by 2,119 Authors

 55 Pulmannová, Sylvia 51 Dvurečenskij, Anatolij 30 Varadarajan, Veeravalli S. 20 Gudder, Stanley P. 19 Fioresi, Rita 13 Nánásiová, Olga 13 Pták, Pavel 13 Van den Ban, Erik Peter 13 Zúñiga-Galindo, Wilson A. 12 Dani, Shrikrishna Gopalrao 12 Guz, Wawrzyniec 12 Lahti, Pekka Johannes 12 San Martin, Luiz Antonio Barrera 12 Sarkar, Rudra P. 12 Shtern, Aleksandr Isaakovich 11 Núñez-Valdés, Juan 11 Ólafsson, Gestur 10 Carmeli, Claudio 10 Neeb, Karl-Hermann 10 Pasquale, Angela 10 Tenorio, Ángel F. 10 Travaglini, Giancarlo 10 Zimmer, Robert J. 9 Cassinelli, Gianni 9 Garofalo, Nicola 9 Hare, Kathryn E. 9 Joseph, Anthony 9 Schlichtkrull, Henrik 8 Ceballos, Manuel 8 Chari, Vyjayanthi 8 Digernes, Trond 8 Holik, Federico 7 Chetcuti, Emmanuel 7 Lepowsky, James 7 Nevo, Amos 7 Przebinda, Tomasz 7 Weisbart, David 7 Wu, Qingyan 6 Arnal, Didier 6 Ayala, Victor 6 Deitmar, Anton 6 Grassi, Pietro Antonio 6 Greenstein, Jacob 6 Han, Deguang 6 Hilgert, Joachim 6 Jenčová, Anna 6 Kechris, Alexander S. 6 Marinucci, Domenico 6 Marrani, Alessio 6 McCrudden, Michael 6 Meaney, Christopher 6 Narayanan, E. K. 6 Rüttimann, Gottfried T. 6 Shah, Riddhi 6 Zafiris, Elias 6 Zhang, Ruibin 5 Barkatou, Moulay A. 5 Bonfiglioli, Andrea 5 Bouaziz, Abderrazak 5 Buhagiar, David 5 Cahen, Benjamin 5 Casas, Fernando 5 Cattaneo, Gianpiero 5 Dong, Chao-Ping 5 Fu, Zunwei 5 Giulini, Saverio 5 Gupta, Sanjiv Kumar 5 Hamhalter, Jan 5 Harinck, Pascale 5 Jørgensen, Palle E. T. 5 Khrennikov, Andreĭ Yur’evich 5 Kostant, Bertram 5 Markechová, Dagmar 5 Navara, Mirko 5 Ørsted, Bent 5 Parthasarathy, Rajagopalan 5 Pusti, Sanjoy 5 Ray, Swagato K. 5 Ricci, Fulvio 5 Saloff-Coste, Laurent 5 Sarnak, Peter Clive 5 Truini, Piero 5 Wallach, Nolan Russell 5 Witte Morris, Dave 4 Adams, Scot 4 Alldridge, Alexander 4 Anker, Jean-Philippe 4 Antoniou, Ioannis E. 4 Boalch, Philip P. 4 Boyer, Adrien 4 Catenacci, Roberto 4 Clerc, Jean-Louis 4 De Mari, Filippo 4 De Vito, Ernesto 4 Duistermaat, Johannes Jisse 4 Eguchi, Masaaki 4 Gornet, Ruth 4 Graczyk, Piotr 4 Groeger, Josua 4 Grünbaum, Francisco Alberto ...and 2,019 more Authors
all top 5

#### Cited in 347 Serials

 124 Journal of Functional Analysis 91 International Journal of Theoretical Physics 61 Transactions of the American Mathematical Society 60 Communications in Mathematical Physics 48 Journal of Mathematical Physics 44 Reports on Mathematical Physics 42 Advances in Mathematics 36 Mathematica Slovaca 35 Journal of Mathematical Analysis and Applications 35 Inventiones Mathematicae 33 Proceedings of the American Mathematical Society 32 Journal of Algebra 31 Journal of Geometry and Physics 29 Mathematische Zeitschrift 28 Duke Mathematical Journal 26 Annales de l’Institut Fourier 24 Mathematische Annalen 23 Linear Algebra and its Applications 22 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 21 Israel Journal of Mathematics 20 Foundations of Physics 18 Letters in Mathematical Physics 18 Compositio Mathematica 18 Transformation Groups 16 Fuzzy Sets and Systems 15 Reviews in Mathematical Physics 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Manuscripta Mathematica 14 Monatshefte für Mathematik 14 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 14 Journal of High Energy Physics 13 Journal of Multivariate Analysis 13 Topology and its Applications 12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 12 Systems & Control Letters 12 Bulletin of the American Mathematical Society. New Series 12 Annales de l’Institut Henri Poincaré. Physique Théorique 12 Russian Journal of Mathematical Physics 11 Differential Geometry and its Applications 11 The Journal of Geometric Analysis 11 Expositiones Mathematicae 11 Bulletin des Sciences Mathématiques 11 International Journal of Geometric Methods in Modern Physics 10 Journal d’Analyse Mathématique 10 Journal of Pure and Applied Algebra 10 Synthese 10 Stochastic Processes and their Applications 10 Indagationes Mathematicae. New Series 10 Representation Theory 9 Nuclear Physics. B 9 Acta Mathematica 9 Journal of Differential Equations 9 Journal of the American Mathematical Society 9 Forum Mathematicum 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 The Journal of Fourier Analysis and Applications 8 Bulletin of the Australian Mathematical Society 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Applied Mathematics and Computation 7 Journal of Statistical Planning and Inference 7 MCSS. Mathematics of Control, Signals, and Systems 7 Annals of Physics 7 Applied and Computational Harmonic Analysis 7 Annales Henri Poincaré 6 Communications in Algebra 6 Theoretical and Mathematical Physics 6 Geometriae Dedicata 6 Information Sciences 6 Journal of Computational and Applied Mathematics 6 Journal of Philosophical Logic 6 Kybernetika 6 Memoirs of the American Mathematical Society 6 Semigroup Forum 6 Tohoku Mathematical Journal. Second Series 6 Ergodic Theory and Dynamical Systems 6 Acta Applicandae Mathematicae 6 Applied Numerical Mathematics 6 Probability Theory and Related Fields 6 Revista Matemática Iberoamericana 6 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of the Institute of Mathematics of Jussieu 5 Modern Physics Letters A 5 Computers & Mathematics with Applications 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Functional Analysis and its Applications 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Soviet Mathematics 5 Annals of Global Analysis and Geometry 5 Physica D 5 Journal of Symbolic Computation 5 Journal of Theoretical Probability 5 Geometric and Functional Analysis. GAFA 5 Annales Mathématiques Blaise Pascal 5 Bernoulli 5 Soft Computing 5 Acta Mathematica Sinica. English Series ...and 247 more Serials
all top 5

#### Cited in 61 Fields

 579 Topological groups, Lie groups (22-XX) 448 Quantum theory (81-XX) 267 Abstract harmonic analysis (43-XX) 230 Nonassociative rings and algebras (17-XX) 200 Mathematical logic and foundations (03-XX) 200 Differential geometry (53-XX) 196 Functional analysis (46-XX) 184 Probability theory and stochastic processes (60-XX) 177 Global analysis, analysis on manifolds (58-XX) 128 Order, lattices, ordered algebraic structures (06-XX) 117 Dynamical systems and ergodic theory (37-XX) 114 Measure and integration (28-XX) 106 Operator theory (47-XX) 96 Number theory (11-XX) 96 Partial differential equations (35-XX) 89 Algebraic geometry (14-XX) 89 Group theory and generalizations (20-XX) 71 Ordinary differential equations (34-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 57 Manifolds and cell complexes (57-XX) 54 Several complex variables and analytic spaces (32-XX) 52 Numerical analysis (65-XX) 48 Systems theory; control (93-XX) 47 Statistics (62-XX) 45 Associative rings and algebras (16-XX) 44 Special functions (33-XX) 43 Mechanics of particles and systems (70-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 37 Relativity and gravitational theory (83-XX) 27 Combinatorics (05-XX) 26 General topology (54-XX) 24 Information and communication theory, circuits (94-XX) 22 Geometry (51-XX) 20 Computer science (68-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Algebraic topology (55-XX) 18 Real functions (26-XX) 17 Category theory; homological algebra (18-XX) 16 Functions of a complex variable (30-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Field theory and polynomials (12-XX) 14 Approximations and expansions (41-XX) 14 Integral transforms, operational calculus (44-XX) 13 Difference and functional equations (39-XX) 12 History and biography (01-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Biology and other natural sciences (92-XX) 9 Convex and discrete geometry (52-XX) 9 Mechanics of deformable solids (74-XX) 7 Commutative algebra (13-XX) 7 Sequences, series, summability (40-XX) 7 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 5 General algebraic systems (08-XX) 4 $$K$$-theory (19-XX) 4 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Optics, electromagnetic theory (78-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.