## Christensen, Jens Peter Reus

Compute Distance To:
 Author ID: christensen.jens-peter-reus Published as: Christensen, Jens Peter Reus; Christensen, J. P. R.; Christensen, J. P. Reus External Links: MGP · Wikidata · dblp
 Documents Indexed: 59 Publications since 1969, including 4 Books 1 Further Contribution Reviewing Activity: 3 Reviews Co-Authors: 15 Co-Authors with 31 Joint Publications 212 Co-Co-Authors
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### Co-Authors

 28 single-authored 9 Berg, Christian 7 Fischer, Pal 6 Ressel, Paul 2 Kenderov, Petar Stojanov 2 Vesterstrøm, Jørgen 1 Andersen, Niels Johan Morch 1 Erdős, Pál 1 Graf, Siegfried 1 Herer, Wojciech 1 Jensen, Christian Ulrik 1 Kanovei, Vladimir G. 1 Maharam Stone, Dorothy 1 Maserick, Peter Harrington 1 Oommen, B. John 1 Pachl, Jan K. 1 Rasmussen, Carsten 1 Reeken, Michael 1 Sasvári, Zoltán 1 Shortt, Rae Michael
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### Serials

 8 Mathematische Annalen 6 Mathematica Scandinavica 6 Proceedings of the American Mathematical Society 3 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Linear Algebra and its Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Colloquium Mathematicum 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Aequationes Mathematicae 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Doklady Bolgarskoĭ Akademii Nauk 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Publications du Département de Mathématiques 1 Graduate Texts in Mathematics 1 North-Holland Mathematics Studies
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### Fields

 24 Measure and integration (28-XX) 18 Functional analysis (46-XX) 13 General topology (54-XX) 11 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 5 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 885 times in 802 Documents Cited by Year
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1984
Topology and Borel structure. Descriptive topology and set theory with applications to functional analysis and measure theory. Zbl 0273.28001
Christensen, J. P. R.
1974
Density questions in the classical theory of moments. Zbl 0437.42007
Berg, Christian; Christensen, J. P. Reus
1981
On sets of Haar measure zero in abelian Polish groups. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0249.43002
Christensen, Jens Peter Reus
1973
On some properties of Effros Borel structure on spaces of closed subsets. Zbl 0215.48303
Christensen, J. P. R.
1971
Theorems of Namioka and B. E. Johnson type for upper semicontinuous and compact valued set-valued mappings. Zbl 0506.54016
Christensen, Jens Peter Reus
1982
A remark on the multidimensional moment problem. Zbl 0416.46003
Berg, C.; Christensen, J. P. R.; Jensen, C. U.
1979
On the existence of pathological submeasures and the construction of exotic topological groups. Zbl 0311.28002
Herer, Wojchiech; Christensen, Jens Peter Reus
1975
Joint continuity of separately continuous functions. Zbl 0472.54007
Christensen, Jens Peter Reus
1981
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1976
Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings. Zbl 0302.43001
Christensen, Jens Peter Reus
1973
Borel structures in groups and semigroups. Zbl 0217.08502
Christensen, J. P. R.
1971
Dense strong continuity of mappings and the Radon-Nikodym property. Zbl 0557.46016
Christensen, Jens Peter Reus; Kenderov, Petar Stojanov
1984
On some measures analogous to Haar measure. Zbl 0191.43103
Christensen, J. P. R.
1970
Necessary and sufficient conditions for the measurability of certain sets of closed subsets. Zbl 0233.28002
Christensen, Jens Peter Reus
1973
Functions operating on positive definite matrices and a theorem of Schoenberg. Zbl 0394.15011
Christensen, Jens Peter Reus; Ressel, Paul
1978
Sur la norme des opérateurs de convolution. Zbl 0261.22009
Berg, Christian; Christensen, Jens Peter Reus
1974
A note on extreme positive definite matrices. Zbl 0396.15011
Christensen, J. P. R.; Vesterstrøm, Jørgen
1979
Borel structures and a topological zero-one law. Zbl 0234.54024
Christensen, Jens Peter Reus
1972
Sequences with finitely many negative squares. Zbl 0656.47021
Berg, C.; Christensen, J. P. R.; Maserick, P. H.
1988
On the relation between amenability of locally compact groups and the norms of convolution operators. Zbl 0264.43003
Berg, Christian; Christensen, Jens Peter Reus
1974
Positive definite doubly stochastic matrices and extreme points. Zbl 0599.15011
Christensen, Jens Peter Reus; Fischer, Pal
1986
Exposants critiques dans le problème des moments. Zbl 0531.28008
Berg, Christian; Christensen, Jens Peter Reus
1983
Ergodic invariant probability measures and entire functions. Zbl 0928.28005
Christensen, J. P. R.; Fischer, P.
1996
Codimension of some subspaces in a Frechet algebra. Zbl 0329.46052
Christensen, Jens Peter Reus
1976
Positive definite kernels on the complex Hilbert sphere. Zbl 0572.43004
Christensen, Jens Peter Reus; Ressel, Paul
1982
Linear independence of iterates and entire solutions of functional equations. Zbl 0654.30018
Christensen, Jens Peter Reus; Fischer, Pal
1988
A finitely additive measure defined on a sigma-field is automatically countably additive. Zbl 1221.28006
Christensen, Jens Peter Reus
2001
Remarks on Namioka spaces and B. E. Johnson’s theorem on the norm separability of the range of certain mappings. Zbl 0519.54008
Christensen, Jens Peter Reus
1983
Small sets and a class of general functional equations. Zbl 0628.28011
Christensen, Jens Peter Reus; Fischer, Pal
1987
Some results on Borel structures with applications to subseries convergence in Abelian topological groups. Zbl 0291.22005
Andersen, Niels Johan Morch; Christensen, Jens Peter Reus
1973
Measurable functionals on function spaces. Zbl 0437.46022
Christensen, J. P. R.; Pachl, J. K.
1981
A probabilistic characterisation of negative definite and completely alternating functions. Zbl 0474.60016
Christensen, Jens Peter Reus; Ressel, Paul
1981
Multidimensional stochastic matrices and error-correcting codes. Zbl 0776.94006
Christensen, J. P. R.; Fischer, P.
1993
Some results with relation to the control measure problem. Zbl 0371.28011
Christensen, Jens Peter Reus
1978
Joint continuity of measurable biadditive mappings. Zbl 0664.28004
Christensen, Jens Peter Reus; Fischer, Pal
1988
Uniform measures and spherical harmonics. Zbl 0203.44204
Christensen, J. P. R.
1970
Measurability problems in a metrizable convex compact set. Zbl 0239.28001
Christensen, Jens Peter Reus
1972
$$\epsilon$$-optimal discretized linear reward-penalty learning automata. Zbl 0657.68062
Oommen, B. J.; Christensen, J. P. R.
1988
A note on extreme positive definite matrices. Zbl 0408.47033
Christensen, J. P. R.; Vesterstrøm, Jørgen
1978
The small ball theorem for Hilbert spaces. Zbl 0368.28009
Christensen, Jens Peter Reus
1978
Compact convex sets and compact Choquet simplexes. Zbl 0247.46009
Christensen, Jens Peter Reus
1973
Uniform measures. Zbl 0238.28004
Christensen, Jens Peter Reus
1969
The dimension of the linear space spanned by all partial derivatives of a symmetric polynomial. Zbl 1006.15003
Christensen, Jens Peter Reus; Sasvári, Zoltán
2002
On Borel orderable groups. Zbl 0968.03054
Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael
2001
Linear independence of iterates and meromorphic solutions of functional equations. Zbl 0797.30029
Christensen, Jens Peter Reus; Fischer, Pal
1994
Suites complètement définies positives, majoration de Schur et le problème des moments de Stieltjes en dimension k. Zbl 0532.44005
Berg, Christian; Christensen, Jens Peter Reus
1983
Nonlinear automatic continuity. Zbl 0547.54010
Christensen, J. P. R.
1983
The dimension of the linear space spanned by all partial derivatives of a symmetric polynomial. Zbl 1006.15003
Christensen, Jens Peter Reus; Sasvári, Zoltán
2002
A finitely additive measure defined on a sigma-field is automatically countably additive. Zbl 1221.28006
Christensen, Jens Peter Reus
2001
On Borel orderable groups. Zbl 0968.03054
Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael
2001
Ergodic invariant probability measures and entire functions. Zbl 0928.28005
Christensen, J. P. R.; Fischer, P.
1996
Linear independence of iterates and meromorphic solutions of functional equations. Zbl 0797.30029
Christensen, Jens Peter Reus; Fischer, Pal
1994
Multidimensional stochastic matrices and error-correcting codes. Zbl 0776.94006
Christensen, J. P. R.; Fischer, P.
1993
Sequences with finitely many negative squares. Zbl 0656.47021
Berg, C.; Christensen, J. P. R.; Maserick, P. H.
1988
Linear independence of iterates and entire solutions of functional equations. Zbl 0654.30018
Christensen, Jens Peter Reus; Fischer, Pal
1988
Joint continuity of measurable biadditive mappings. Zbl 0664.28004
Christensen, Jens Peter Reus; Fischer, Pal
1988
$$\epsilon$$-optimal discretized linear reward-penalty learning automata. Zbl 0657.68062
Oommen, B. J.; Christensen, J. P. R.
1988
Small sets and a class of general functional equations. Zbl 0628.28011
Christensen, Jens Peter Reus; Fischer, Pal
1987
Positive definite doubly stochastic matrices and extreme points. Zbl 0599.15011
Christensen, Jens Peter Reus; Fischer, Pal
1986
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1984
Dense strong continuity of mappings and the Radon-Nikodym property. Zbl 0557.46016
Christensen, Jens Peter Reus; Kenderov, Petar Stojanov
1984
Exposants critiques dans le problème des moments. Zbl 0531.28008
Berg, Christian; Christensen, Jens Peter Reus
1983
Remarks on Namioka spaces and B. E. Johnson’s theorem on the norm separability of the range of certain mappings. Zbl 0519.54008
Christensen, Jens Peter Reus
1983
Suites complètement définies positives, majoration de Schur et le problème des moments de Stieltjes en dimension k. Zbl 0532.44005
Berg, Christian; Christensen, Jens Peter Reus
1983
Nonlinear automatic continuity. Zbl 0547.54010
Christensen, J. P. R.
1983
Theorems of Namioka and B. E. Johnson type for upper semicontinuous and compact valued set-valued mappings. Zbl 0506.54016
Christensen, Jens Peter Reus
1982
Positive definite kernels on the complex Hilbert sphere. Zbl 0572.43004
Christensen, Jens Peter Reus; Ressel, Paul
1982
Density questions in the classical theory of moments. Zbl 0437.42007
Berg, Christian; Christensen, J. P. Reus
1981
Joint continuity of separately continuous functions. Zbl 0472.54007
Christensen, Jens Peter Reus
1981
Measurable functionals on function spaces. Zbl 0437.46022
Christensen, J. P. R.; Pachl, J. K.
1981
A probabilistic characterisation of negative definite and completely alternating functions. Zbl 0474.60016
Christensen, Jens Peter Reus; Ressel, Paul
1981
A remark on the multidimensional moment problem. Zbl 0416.46003
Berg, C.; Christensen, J. P. R.; Jensen, C. U.
1979
A note on extreme positive definite matrices. Zbl 0396.15011
Christensen, J. P. R.; Vesterstrøm, Jørgen
1979
Functions operating on positive definite matrices and a theorem of Schoenberg. Zbl 0394.15011
Christensen, Jens Peter Reus; Ressel, Paul
1978
Some results with relation to the control measure problem. Zbl 0371.28011
Christensen, Jens Peter Reus
1978
A note on extreme positive definite matrices. Zbl 0408.47033
Christensen, J. P. R.; Vesterstrøm, Jørgen
1978
The small ball theorem for Hilbert spaces. Zbl 0368.28009
Christensen, Jens Peter Reus
1978
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
1976
Codimension of some subspaces in a Frechet algebra. Zbl 0329.46052
Christensen, Jens Peter Reus
1976
On the existence of pathological submeasures and the construction of exotic topological groups. Zbl 0311.28002
Herer, Wojchiech; Christensen, Jens Peter Reus
1975
Topology and Borel structure. Descriptive topology and set theory with applications to functional analysis and measure theory. Zbl 0273.28001
Christensen, J. P. R.
1974
Sur la norme des opérateurs de convolution. Zbl 0261.22009
Berg, Christian; Christensen, Jens Peter Reus
1974
On the relation between amenability of locally compact groups and the norms of convolution operators. Zbl 0264.43003
Berg, Christian; Christensen, Jens Peter Reus
1974
On sets of Haar measure zero in abelian Polish groups. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0249.43002
Christensen, Jens Peter Reus
1973
Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings. Zbl 0302.43001
Christensen, Jens Peter Reus
1973
Necessary and sufficient conditions for the measurability of certain sets of closed subsets. Zbl 0233.28002
Christensen, Jens Peter Reus
1973
Some results on Borel structures with applications to subseries convergence in Abelian topological groups. Zbl 0291.22005
Andersen, Niels Johan Morch; Christensen, Jens Peter Reus
1973
Compact convex sets and compact Choquet simplexes. Zbl 0247.46009
Christensen, Jens Peter Reus
1973
Borel structures and a topological zero-one law. Zbl 0234.54024
Christensen, Jens Peter Reus
1972
Measurability problems in a metrizable convex compact set. Zbl 0239.28001
Christensen, Jens Peter Reus
1972
On some properties of Effros Borel structure on spaces of closed subsets. Zbl 0215.48303
Christensen, J. P. R.
1971
Borel structures in groups and semigroups. Zbl 0217.08502
Christensen, J. P. R.
1971
On some measures analogous to Haar measure. Zbl 0191.43103
Christensen, J. P. R.
1970
Uniform measures and spherical harmonics. Zbl 0203.44204
Christensen, J. P. R.
1970
Uniform measures. Zbl 0238.28004
Christensen, Jens Peter Reus
1969
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all top 5

### Cited in 225 Serials

 55 Proceedings of the American Mathematical Society 48 Topology and its Applications 39 Journal of Mathematical Analysis and Applications 32 Transactions of the American Mathematical Society 25 Mathematische Annalen 23 Israel Journal of Mathematics 22 Journal of Functional Analysis 14 Acta Mechanica 14 Aequationes Mathematicae 11 Bulletin of the Australian Mathematical Society 11 Linear Algebra and its Applications 11 Positivity 10 Rocky Mountain Journal of Mathematics 10 Czechoslovak Mathematical Journal 10 Journal of Approximation Theory 9 Annales de l’Institut Fourier 9 Archiv der Mathematik 9 Integral Equations and Operator Theory 9 Mathematische Zeitschrift 9 Semigroup Forum 8 Monatshefte für Mathematik 8 Journal of Theoretical Probability 8 Bernoulli 7 Probability Theory and Related Fields 7 Journal of Mathematical Sciences (New York) 6 Journal d’Analyse Mathématique 6 Journal of Computational and Applied Mathematics 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Acta Mathematica Hungarica 5 Arkiv för Matematik 5 The Annals of Probability 5 Journal of Soviet Mathematics 5 Mathematica Slovaca 5 Mathematika 5 The Journal of Fourier Analysis and Applications 5 Extremes 4 Linear and Multilinear Algebra 4 Studia Mathematica 4 Ukrainian Mathematical Journal 4 The Annals of Statistics 4 Journal of Economic Theory 4 Manuscripta Mathematica 4 Continuum Mechanics and Thermodynamics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Complex Analysis and Operator Theory 3 Archive for Rational Mechanics and Analysis 3 General Relativity and Gravitation 3 International Journal of Solids and Structures 3 Journal of Statistical Physics 3 Acta Mathematica 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Journal of Applied Probability 3 Journal of Pure and Applied Algebra 3 Memoirs of the American Mathematical Society 3 Results in Mathematics 3 Ergodic Theory and Dynamical Systems 3 Statistics & Probability Letters 3 Annals of Pure and Applied Logic 3 Constructive Approximation 3 Expositiones Mathematicae 3 Potential Analysis 3 Set-Valued Analysis 3 International Applied Mechanics 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Analysis and Applications (Singapore) 3 Electronic Journal of Statistics 3 Set-Valued and Variational Analysis 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Nonlinear Analysis. Theory, Methods & Applications 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Ingenieur-Archiv 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rheologica Acta 2 Annals of the Institute of Statistical Mathematics 2 Compositio Mathematica 2 Dissertationes Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Journal of Mathematical Economics 2 Journal of Statistical Planning and Inference 2 Mathematische Nachrichten 2 Meccanica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Order 2 Revista Matemática Iberoamericana 2 Machine Learning 2 Communications in Statistics. Theory and Methods 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Mathematical Programming. Series A. Series B 2 Journal of Dynamics and Differential Equations 2 Archive of Applied Mechanics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Mathematics ...and 125 more Serials
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### Cited in 59 Fields

 199 Functional analysis (46-XX) 162 General topology (54-XX) 120 Probability theory and stochastic processes (60-XX) 111 Abstract harmonic analysis (43-XX) 109 Measure and integration (28-XX) 90 Operator theory (47-XX) 75 Integral transforms, operational calculus (44-XX) 68 Topological groups, Lie groups (22-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 48 Real functions (26-XX) 43 Statistics (62-XX) 41 Mechanics of deformable solids (74-XX) 38 Functions of a complex variable (30-XX) 37 Mathematical logic and foundations (03-XX) 37 Difference and functional equations (39-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 29 Special functions (33-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 22 Approximations and expansions (41-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Combinatorics (05-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Computer science (68-XX) 13 Number theory (11-XX) 13 Algebraic geometry (14-XX) 13 Numerical analysis (65-XX) 13 Operations research, mathematical programming (90-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Partial differential equations (35-XX) 11 Group theory and generalizations (20-XX) 11 Convex and discrete geometry (52-XX) 10 Manifolds and cell complexes (57-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Quantum theory (81-XX) 7 Potential theory (31-XX) 7 Fluid mechanics (76-XX) 6 Field theory and polynomials (12-XX) 6 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Commutative algebra (13-XX) 5 Ordinary differential equations (34-XX) 5 Differential geometry (53-XX) 5 Geophysics (86-XX) 4 Sequences, series, summability (40-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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