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Author ID: berg.christian Recent zbMATH articles by "Berg, Christian"
Published as: Berg, Christian; Berg, C.
Homepage: http://www.math.ku.dk/~berg/
External Links: MGP · Wikidata · IdRef
Documents Indexed: 138 Publications since 1969, including 2 Books
4 Contributions as Editor
Reviewing Activity: 18 Reviews
Co-Authors: 37 Co-Authors with 78 Joint Publications
982 Co-Co-Authors
all top 5

Serials

7 Journal of Computational and Applied Mathematics
6 Journal of Approximation Theory
6 Mathematica Scandinavica
4 Inventiones Mathematicae
4 Mathematische Annalen
4 Constructive Approximation
4 Expositiones Mathematicae
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 Arkiv för Matematik
3 Proceedings of the American Mathematical Society
2 Annales de l’Institut Fourier
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Scandinavian Actuarial Journal
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Aequationes Mathematicae
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Methods and Applications of Analysis
2 Integral Transforms and Special Functions
2 The Journal of Fourier Analysis and Applications
2 Arab Journal of Mathematical Sciences
2 The Ramanujan Journal
2 Mediterranean Journal of Mathematics
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Acta Mathematica
1 Advances in Mathematics
1 The Annals of Probability
1 Archiv der Mathematik
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 The Fibonacci Quarterly
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Normat
1 Transactions of the American Mathematical Society
1 Statistics & Probability Letters
1 Probability and Mathematical Statistics
1 Journal of Theoretical Probability
1 L’Enseignement Mathématique. 2e Série
1 Journal of the Australian Mathematical Society. Series A
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Bernoulli
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 Journal of the Australian Mathematical Society
1 Computational Methods and Function Theory
1 Journal Électronique d’Histoire des Probabilités et de la Statistique
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Ergebnisse der Mathematik und ihrer Grenzgebiete
1 Graduate Texts in Mathematics
1 Lecture Notes in Mathematics
1 Matematisk-Fysiske Meddelelser
1 Journal of Physics A: Mathematical and Theoretical

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,602 times in 1,141 Documents Cited by Year
Potential theory on locally compact Abelian groups. Zbl 0308.31001
Berg, Christian; Forst, Gunnar
264
1975
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
215
1984
Integral representation of some functions related to the gamma function. Zbl 1162.33300
Berg, Christian
67
2004
Density questions in the classical theory of moments. Zbl 0437.42007
Berg, Christian; Christensen, J. P. Reus
64
1981
A remark on the multidimensional moment problem. Zbl 0416.46003
Berg, C.; Christensen, J. P. R.; Jensen, C. U.
38
1979
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
37
2006
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
37
2017
Some classes of completely monotonic functions. Zbl 1021.26002
Alzer, Horst; Berg, Christian
32
2002
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
31
1976
Indeterminate moment problems and the theory of entire functions. Zbl 0853.44005
Berg, Christian
30
1995
Rotation invariant moment problems. Zbl 0744.44006
Berg, Christian; Thill, Marco
28
1991
The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes. Zbl 0966.44500
Berg, Christian; Valent, Galliano
28
1994
\(q\)-Hermite polynomials and classical orthogonal polynomials. Zbl 0858.33015
Berg, Christian; Ismail, Mourad E. H.
25
1996
Markov’s theorem revisited. Zbl 0810.42014
Berg, Christian
23
1994
A completely monotone function related to the gamma function. Zbl 0989.33002
Berg, Christian; Pedersen, Henrik L.
23
2001
The index of determinacy for measures and the \(\ell^ 2\)-norm of orthonormal polynomials. Zbl 0863.42019
Berg, Christian; Duran, Antonio J.
23
1995
Exponentially bounded positive definite functions. Zbl 0519.43005
Berg, Christian; Maserick, P. H.
22
1984
Potential theory on the infinite dimensional torus. Zbl 0371.31007
Berg, Christian
22
1976
Generation of generators of holomorphic semigroups. Zbl 0796.47009
Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph
22
1993
The Dagum family of isotropic correlation functions. Zbl 1158.60350
Berg, Christian; Mateu, Jorge; Porcu, Emilio
22
2008
Small eigenvalues of large Hankel matrices: The indeterminate case. Zbl 1018.47020
Berg, Christian; Chen, Yang; Ismail, Mourad E. H.
20
2002
Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function. Zbl 1280.26017
Qi, Feng; Berg, Christian
20
2013
On the order and type of the entire functions associated with an indeterminate Hamburger moment problem. Zbl 0805.30022
Berg, Christian; Pedersen, Henrik L.
20
1994
On powers of Stieltjes moment sequences, I. Zbl 1086.44003
Berg, Christian
19
2005
The cube of a normal distribution is indeterminate. Zbl 0645.60018
Berg, Christian
18
1988
A transformation from Hausdorff to Stieltjes moment sequences. Zbl 1057.44002
Berg, Christian; Durán, Antonio J.
18
2004
From discrete to absolutely continuous solutions of indeterminate moment problems. Zbl 0962.44012
Berg, Christian
17
1998
Pick functions related to the gamma function. Zbl 1050.33001
Berg, Christian; Pedersen, Henrik L.
17
2002
The multidimensional moment problem and semigroups. Zbl 0636.44007
Berg, Christian
15
1987
Polynomially positive definite sequences. Zbl 0486.44004
Berg, Christian; Maserick, P. H.
15
1982
Corps convexes et potentiels spheriques. Zbl 0181.38303
Berg, C.
14
1969
Sur la norme des opérateurs de convolution. Zbl 0261.22009
Berg, Christian; Christensen, Jens Peter Reus
14
1974
The smallest eigenvalue of Hankel matrices. Zbl 1259.15024
Berg, Christian; Szwarc, Ryszard
13
2011
A one-parameter family of Pick functions defined by the gamma function and related to the volume of the unit ball in \(n\)-space. Zbl 1230.30021
Berg, Christian; Pedersen, Henrik L.
12
2011
Generalized \(q\)-Hermite polynomials. Zbl 0989.81004
Berg, Christian; Ruffing, Andreas
12
2001
On powers of Stieltjes moment sequences. II. Zbl 1111.44001
Berg, Christian
11
2007
Non-symmetric translation invariant Dirichlet forms. Zbl 0263.31010
Berg, Christian; Forst, Gunnar
10
1973
Moment problems and polynomial approximation. Zbl 0877.44003
Berg, Christian
10
1996
Linearization coefficients of Bessel polynomials and properties of student \(t\)-distributions. Zbl 1132.33308
Berg, Christian; Vignat, Christophe
9
2008
Nevanlinna matrices of entire functions. Zbl 0827.30013
Berg, Christian; Pedersen, Henrik L.
9
1995
Sequences with finitely many negative squares. Zbl 0656.47021
Berg, C.; Christensen, J. P. R.; Maserick, P. H.
8
1988
Functions with a finite number of negative squares on semigroups. Zbl 0671.43008
Berg, Christian; Sasvári, Zoltán
8
1989
The Chen-Rubin conjecture in a continuous setting. Zbl 1107.60006
Berg, Christian; Pedersen, Henrik L.
8
2006
Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes. Zbl 0826.30006
Berg, Christian; Valent, Galliano
8
1995
Logarithmic order and type of indeterminate moment problems. Zbl 1127.44006
Berg, Christian; Pedersen, Henrik L.; Hayman, Walter
8
2007
Dirichlet forms on symmetric spaces. Zbl 0243.31013
Berg, Christian
8
1973
On the relation between amenability of locally compact groups and the norms of convolution operators. Zbl 0264.43003
Berg, Christian; Christensen, Jens Peter Reus
8
1974
Fibonacci numbers and orthogonal polynomials. Zbl 1231.33009
Berg, Christian
7
2011
Some transformations of Hausdorff moment sequences and harmonic numbers. Zbl 1087.44001
Berg, Christian; Durán, Antonio J.
7
2005
On some indeterminate moment problems for measures on a geometric progression. Zbl 0929.44004
Berg, Christian
7
1998
On the order of indeterminate moment problems. Zbl 1287.44001
Berg, Christian; Szwarc, Ryszard
7
2014
Schoenberg’s theorem for real and complex Hilbert spheres revisited. Zbl 1388.43006
Berg, Christian; Peron, Ana P.; Porcu, Emilio
7
2018
A density index for the Stieltjes moment problem. Zbl 0830.44006
Berg, Christian; Thill, Marco
7
1991
On the preservation of determinacy under convolution. Zbl 0529.60009
Berg, Christian
6
1985
Bounds on Turán determinants. Zbl 1190.33012
Berg, Christian; Szwarc, Ryszard
6
2009
Abstract Steiner points for convex polytopes. Zbl 0222.52006
Berg, Christian
6
1971
A determinant characterization of moment sequences with finitely many mass points. Zbl 1332.44004
Berg, Christian; Szwarc, Ryszard
6
2015
A completely monotonic function used in an inequality of Alzer. Zbl 1248.33008
Berg, Christian; Pedersen, Henrik L.
5
2012
Exposants critiques dans le problème des moments. Zbl 0531.28008
Berg, Christian; Christensen, Jens Peter Reus
5
1983
Liouville’s operator for a disc in space. Zbl 0702.45015
Berg, Christian; Fuglede, Bent
5
1990
A Pick function related to an inequality for the entropy function. Zbl 0989.30028
Berg, Christian
5
2001
Convexity of the median in the gamma distribution. Zbl 05319828
Berg, Christian; Pedersen, Henrik L.
5
2008
Quantum Hilbert matrices and orthogonal polynomials. Zbl 1183.33034
Andersen, Jørgen Ellegaard; Berg, Christian
5
2009
Orthogonal polynomials and analytic functions associated to positive definite matrices. Zbl 1121.30017
Berg, Christian; Durán, Antonio J.
5
2006
Asymptotic behaviour of the Urbanik semigroup. Zbl 1317.30058
Berg, Christian; López, José Luis
5
2015
When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to \(\ell^ 2\)? Zbl 0867.46019
Berg, Christian; Duran, Antonio J.
5
1996
Quelques remarques sur le cône de Stieltjes. Zbl 0449.31009
Berg, Christian
4
1980
On a conjecture of Clark and Ismail. Zbl 1071.33004
Alzer, Horst; Berg, Christian; Koumandos, Stamatis
4
2005
Orthogonal expansions related to compact Gelfand pairs. Zbl 1407.43002
Berg, Christian; Peron, Ana P.; Porcu, Emilio
4
2018
Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities. Zbl 1247.33009
Berg, Christian; Vignat, Christophe
3
2012
On a generalized gamma convolution related to the \(q\)-calculus. Zbl 1219.33016
Berg, Christian
3
2005
The Stieltjes cone is logarithmically convex. Zbl 0418.44001
Berg, Christian
3
1979
On the density of the sum of two independent Student \(t\)-random vectors. Zbl 1190.62104
Berg, C.; Vignat, C.
3
2010
On infinitely divisible solutions to indeterminate moment problems. Zbl 1161.44306
Berg, Christian
3
2000
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function. Zbl 1162.44004
Berg, Christian; Durán, Antonio J.
3
2008
On some results of Cufaro Petroni about Student \(t\)-processes. Zbl 1144.60033
Berg, C.; Vignat, C.
3
2008
Recent results about moment problems. Zbl 0919.60005
Berg, Christian
3
1995
J. Liouville’s unpublished work on an integral operator in potential theory. A historical and mathematical analysis. Zbl 0695.01008
Berg, Christian; Lützen, Jesper
2
1990
The Pareto distribution is a generalized Gamma-convolution-a new proof. Zbl 0453.60022
Berg, Christian
2
1981
Multiply self-decomposable probability measures on R+ and Z+. Zbl 0488.60027
Berg, Christian; Forst, Gunnar
2
1983
On the existence of condenser potentials. Zbl 0351.31010
Berg, Christian
2
1978
On Brownian and Poissonian convolution semigroups on the infinite dimensional torus. Zbl 0371.31008
Berg, Christian
2
1977
Representation of completely convex functions by the extreme-point method. Zbl 0386.46039
Berg, Christian
2
1977
Infinitely divisible probability measures and potential kernels. Zbl 0402.60013
Berg, Christian; Forst, Gunnar
2
1979
On the support of the measures in a symmetric convolution semigroup. Zbl 0309.60009
Berg, Christian
2
1976
Correction to a paper by A. G. Pakes. Zbl 1059.44004
Berg, Christian
2
2004
Shephard’s approximation theory for convex bodies and the Milman theorem. Zbl 0185.50202
Berg, C.
2
1969
Quelques propriétés de la topologie fine, dans la théorie du potential et des processus standard. Zbl 0204.43301
Berg, C.
2
1971
Sémi-groupes de Feller invariants sur les espaces homogènes non moyennables. Zbl 0267.43004
Berg, Christian; Faraut, Jacques
2
1974
Open problems. Zbl 1317.33005
Berg, Christian
2
2015
Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde. Zbl 0889.47010
Berg, Christian; Duran, Antonio J.
2
1997
Orthogonal polynomials, \(L^ 2\)-spaces and entire functions. Zbl 0879.42015
Berg, Christian; Duran, Antonio J.
2
1996
Inverse of infinite Hankel moment matrices. Zbl 1412.42064
Berg, Christian; Szwarc, Ryszard
2
2018
A question by T. S. Chihara about shell polynomials and indeterminate moment problems. Zbl 1229.33014
Berg, Christian; Christiansen, Jacob Stordal
1
2011
A convolution equation relating the generalized Gamma-convolutions and the Bondesson class. Zbl 0499.60016
Berg, Christian; Forst, Gunnar
1
1982
Semi-groupes de moments. Zbl 0528.43004
Berg, Christian
1
1984
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
1
1983
Positive definite and related functions on semigroups. Zbl 0722.43005
Berg, Christian
1
1990
Proceedings of the seventh international symposium on orthogonal polynomials, special functions and their applications, Copenhagen, Denmark, August 18–22, 2003. Zbl 1086.33001
1
2005
Une forme abstraite du théorème de Schoenberg. Zbl 0373.43005
Berg, Christian; Ressel, Paul
1
1978
Completely monotonic ratios of basic and ordinary gamma functions. Zbl 1477.33001
Berg, Christian; Çetinkaya, Asena; Karp, Dmitrii
1
2021
A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function. Zbl 1462.30051
Berg, Christian; Massa, Eugenio; Peron, Ana P.
1
2021
A two-parameter extension of Urbanik’s product convolution semigroup. Zbl 1447.60044
Berg, Christian
1
2019
Schoenberg’s theorem for real and complex Hilbert spheres revisited. Zbl 1388.43006
Berg, Christian; Peron, Ana P.; Porcu, Emilio
7
2018
Orthogonal expansions related to compact Gelfand pairs. Zbl 1407.43002
Berg, Christian; Peron, Ana P.; Porcu, Emilio
4
2018
Inverse of infinite Hankel moment matrices. Zbl 1412.42064
Berg, Christian; Szwarc, Ryszard
2
2018
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
37
2017
A determinant characterization of moment sequences with finitely many mass points. Zbl 1332.44004
Berg, Christian; Szwarc, Ryszard
6
2015
Asymptotic behaviour of the Urbanik semigroup. Zbl 1317.30058
Berg, Christian; López, José Luis
5
2015
Open problems. Zbl 1317.33005
Berg, Christian
2
2015
On the order of indeterminate moment problems. Zbl 1287.44001
Berg, Christian; Szwarc, Ryszard
7
2014
Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function. Zbl 1280.26017
Qi, Feng; Berg, Christian
20
2013
On an iteration leading to a \(q\)-analogue of the digamma function. Zbl 1308.33012
Berg, Christian; Petersen, Helle Bjerg
1
2013
A completely monotonic function used in an inequality of Alzer. Zbl 1248.33008
Berg, Christian; Pedersen, Henrik L.
5
2012
Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities. Zbl 1247.33009
Berg, Christian; Vignat, Christophe
3
2012
The smallest eigenvalue of Hankel matrices. Zbl 1259.15024
Berg, Christian; Szwarc, Ryszard
13
2011
A one-parameter family of Pick functions defined by the gamma function and related to the volume of the unit ball in \(n\)-space. Zbl 1230.30021
Berg, Christian; Pedersen, Henrik L.
12
2011
Fibonacci numbers and orthogonal polynomials. Zbl 1231.33009
Berg, Christian
7
2011
A question by T. S. Chihara about shell polynomials and indeterminate moment problems. Zbl 1229.33014
Berg, Christian; Christiansen, Jacob Stordal
1
2011
On the density of the sum of two independent Student \(t\)-random vectors. Zbl 1190.62104
Berg, C.; Vignat, C.
3
2010
Bounds on Turán determinants. Zbl 1190.33012
Berg, Christian; Szwarc, Ryszard
6
2009
Quantum Hilbert matrices and orthogonal polynomials. Zbl 1183.33034
Andersen, Jørgen Ellegaard; Berg, Christian
5
2009
The Dagum family of isotropic correlation functions. Zbl 1158.60350
Berg, Christian; Mateu, Jorge; Porcu, Emilio
22
2008
Linearization coefficients of Bessel polynomials and properties of student \(t\)-distributions. Zbl 1132.33308
Berg, Christian; Vignat, Christophe
9
2008
Convexity of the median in the gamma distribution. Zbl 05319828
Berg, Christian; Pedersen, Henrik L.
5
2008
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function. Zbl 1162.44004
Berg, Christian; Durán, Antonio J.
3
2008
On some results of Cufaro Petroni about Student \(t\)-processes. Zbl 1144.60033
Berg, C.; Vignat, C.
3
2008
Iteration of the rational function \(z-1/z\) and a Hausdorff moment sequence. Zbl 1162.44005
Berg, Christian; Durán, Antonio J.
1
2008
On powers of Stieltjes moment sequences. II. Zbl 1111.44001
Berg, Christian
11
2007
Logarithmic order and type of indeterminate moment problems. Zbl 1127.44006
Berg, Christian; Pedersen, Henrik L.; Hayman, Walter
8
2007
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
37
2006
The Chen-Rubin conjecture in a continuous setting. Zbl 1107.60006
Berg, Christian; Pedersen, Henrik L.
8
2006
Orthogonal polynomials and analytic functions associated to positive definite matrices. Zbl 1121.30017
Berg, Christian; Durán, Antonio J.
5
2006
On powers of Stieltjes moment sequences, I. Zbl 1086.44003
Berg, Christian
19
2005
Some transformations of Hausdorff moment sequences and harmonic numbers. Zbl 1087.44001
Berg, Christian; Durán, Antonio J.
7
2005
On a conjecture of Clark and Ismail. Zbl 1071.33004
Alzer, Horst; Berg, Christian; Koumandos, Stamatis
4
2005
On a generalized gamma convolution related to the \(q\)-calculus. Zbl 1219.33016
Berg, Christian
3
2005
Proceedings of the seventh international symposium on orthogonal polynomials, special functions and their applications, Copenhagen, Denmark, August 18–22, 2003. Zbl 1086.33001
1
2005
Integral representation of some functions related to the gamma function. Zbl 1162.33300
Berg, Christian
67
2004
A transformation from Hausdorff to Stieltjes moment sequences. Zbl 1057.44002
Berg, Christian; Durán, Antonio J.
18
2004
Correction to a paper by A. G. Pakes. Zbl 1059.44004
Berg, Christian
2
2004
Some classes of completely monotonic functions. Zbl 1021.26002
Alzer, Horst; Berg, Christian
32
2002
Small eigenvalues of large Hankel matrices: The indeterminate case. Zbl 1018.47020
Berg, Christian; Chen, Yang; Ismail, Mourad E. H.
20
2002
Pick functions related to the gamma function. Zbl 1050.33001
Berg, Christian; Pedersen, Henrik L.
17
2002
A completely monotone function related to the gamma function. Zbl 0989.33002
Berg, Christian; Pedersen, Henrik L.
23
2001
Generalized \(q\)-Hermite polynomials. Zbl 0989.81004
Berg, Christian; Ruffing, Andreas
12
2001
A Pick function related to an inequality for the entropy function. Zbl 0989.30028
Berg, Christian
5
2001
On infinitely divisible solutions to indeterminate moment problems. Zbl 1161.44306
Berg, Christian
3
2000
From discrete to absolutely continuous solutions of indeterminate moment problems. Zbl 0962.44012
Berg, Christian
17
1998
On some indeterminate moment problems for measures on a geometric progression. Zbl 0929.44004
Berg, Christian
7
1998
Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde. Zbl 0889.47010
Berg, Christian; Duran, Antonio J.
2
1997
\(q\)-Hermite polynomials and classical orthogonal polynomials. Zbl 0858.33015
Berg, Christian; Ismail, Mourad E. H.
25
1996
Moment problems and polynomial approximation. Zbl 0877.44003
Berg, Christian
10
1996
When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to \(\ell^ 2\)? Zbl 0867.46019
Berg, Christian; Duran, Antonio J.
5
1996
Orthogonal polynomials, \(L^ 2\)-spaces and entire functions. Zbl 0879.42015
Berg, Christian; Duran, Antonio J.
2
1996
Indeterminate moment problems and the theory of entire functions. Zbl 0853.44005
Berg, Christian
30
1995
The index of determinacy for measures and the \(\ell^ 2\)-norm of orthonormal polynomials. Zbl 0863.42019
Berg, Christian; Duran, Antonio J.
23
1995
Nevanlinna matrices of entire functions. Zbl 0827.30013
Berg, Christian; Pedersen, Henrik L.
9
1995
Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes. Zbl 0826.30006
Berg, Christian; Valent, Galliano
8
1995
Recent results about moment problems. Zbl 0919.60005
Berg, Christian
3
1995
The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes. Zbl 0966.44500
Berg, Christian; Valent, Galliano
28
1994
Markov’s theorem revisited. Zbl 0810.42014
Berg, Christian
23
1994
On the order and type of the entire functions associated with an indeterminate Hamburger moment problem. Zbl 0805.30022
Berg, Christian; Pedersen, Henrik L.
20
1994
\(L^ 2\)-approximation with respect to rotation invariant measures. Zbl 0840.41004
Berg, Christian
1
1994
Generation of generators of holomorphic semigroups. Zbl 0796.47009
Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph
22
1993
On the representability of harmonic functions as Newtonian potentials. Zbl 0790.31004
Berg, Christian; Leutwiler, Heinz
1
1993
Rotation invariant moment problems. Zbl 0744.44006
Berg, Christian; Thill, Marco
28
1991
A density index for the Stieltjes moment problem. Zbl 0830.44006
Berg, Christian; Thill, Marco
7
1991
Liouville’s operator for a disc in space. Zbl 0702.45015
Berg, Christian; Fuglede, Bent
5
1990
J. Liouville’s unpublished work on an integral operator in potential theory. A historical and mathematical analysis. Zbl 0695.01008
Berg, Christian; Lützen, Jesper
2
1990
Positive definite and related functions on semigroups. Zbl 0722.43005
Berg, Christian
1
1990
Functions with a finite number of negative squares on semigroups. Zbl 0671.43008
Berg, Christian; Sasvári, Zoltán
8
1989
The cube of a normal distribution is indeterminate. Zbl 0645.60018
Berg, Christian
18
1988
Sequences with finitely many negative squares. Zbl 0656.47021
Berg, C.; Christensen, J. P. R.; Maserick, P. H.
8
1988
The multidimensional moment problem and semigroups. Zbl 0636.44007
Berg, Christian
15
1987
On the preservation of determinacy under convolution. Zbl 0529.60009
Berg, Christian
6
1985
Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
215
1984
Exponentially bounded positive definite functions. Zbl 0519.43005
Berg, Christian; Maserick, P. H.
22
1984
Semi-groupes de moments. Zbl 0528.43004
Berg, Christian
1
1984
Exposants critiques dans le problème des moments. Zbl 0531.28008
Berg, Christian; Christensen, Jens Peter Reus
5
1983
Multiply self-decomposable probability measures on R+ and Z+. Zbl 0488.60027
Berg, Christian; Forst, Gunnar
2
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
1
1983
Polynomially positive definite sequences. Zbl 0486.44004
Berg, Christian; Maserick, P. H.
15
1982
A convolution equation relating the generalized Gamma-convolutions and the Bondesson class. Zbl 0499.60016
Berg, Christian; Forst, Gunnar
1
1982
Density questions in the classical theory of moments. Zbl 0437.42007
Berg, Christian; Christensen, J. P. Reus
64
1981
The Pareto distribution is a generalized Gamma-convolution-a new proof. Zbl 0453.60022
Berg, Christian
2
1981
Quelques remarques sur le cône de Stieltjes. Zbl 0449.31009
Berg, Christian
4
1980
A remark on the multidimensional moment problem. Zbl 0416.46003
Berg, C.; Christensen, J. P. R.; Jensen, C. U.
38
1979
The Stieltjes cone is logarithmically convex. Zbl 0418.44001
Berg, Christian
3
1979
Infinitely divisible probability measures and potential kernels. Zbl 0402.60013
Berg, Christian; Forst, Gunnar
2
1979
On the existence of condenser potentials. Zbl 0351.31010
Berg, Christian
2
1978
Une forme abstraite du théorème de Schoenberg. Zbl 0373.43005
Berg, Christian; Ressel, Paul
1
1978
Principes duaux en théorie du potentiel. Zbl 0389.31007
Berg, Christian
1
1978
On Brownian and Poissonian convolution semigroups on the infinite dimensional torus. Zbl 0371.31008
Berg, Christian
2
1977
Representation of completely convex functions by the extreme-point method. Zbl 0386.46039
Berg, Christian
2
1977
On the solutions to elliptic boundary value problems depending on a parameter. Zbl 0345.35011
Berg, Christian
1
1977
Positive definite functions on Abelian semigroups. Zbl 0331.43010
Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul
31
1976
Potential theory on the infinite dimensional torus. Zbl 0371.31007
Berg, Christian
22
1976
On the support of the measures in a symmetric convolution semigroup. Zbl 0309.60009
Berg, Christian
2
1976
Potential theory on locally compact Abelian groups. Zbl 0308.31001
Berg, Christian; Forst, Gunnar
264
1975
...and 14 more Documents
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Cited by 1,142 Authors

58 Qi, Feng
54 Berg, Christian
26 Guo, Bai-Ni
25 Porcu, Emilio
21 Menegatto, Valdir Antonio
19 Pedersen, Henrik Laurberg
17 Alzer, Horst
14 Maack Bisgaard, Torben
13 Baake, Michael
13 Ressel, Paul
13 Schilling, René Leander
13 Strungaru, Nicolae
12 Chen, Chaoping
12 Mirotin, Adol’f Rubimovich
11 Ismail, Mourad El-Houssieny
11 Stochel, Jan
10 Bendikov, Alexander D.
10 Jørgensen, Palle E. T.
9 Guella, Jean Carlo
9 Lenz, Daniel H.
9 Stoyanov, Jordan M.
8 Forst, Gunnar
8 Jacob, Niels
8 Lasserre, Jean-Bernard
8 Peron, Ana Paula
8 Saloff-Coste, Laurent
8 Sasvári, Zoltán
8 Woracek, Harald
7 Albeverio, Sergio A.
7 Christiansen, Jacob Stordal
7 Ma, Chunsheng
7 Mateu, Jorge
7 Schlather, Martin
7 Torresblanca-Badillo, Anselmo
7 Xiao, Yimin
7 Youssfi, El Hassan
7 Zúñiga-Galindo, Wilson A.
6 Bakan, Andrew G.
6 Baricz, Árpád
6 Batir, Necdet
6 Cao, Jian
6 Christensen, Jens Peter Reus
6 Durán, Antonio José
6 Fuglede, Bent
6 Guo, Senlin
6 Jabłoński, Zenon Jan
6 Jung, Il Bong
6 Kuhlmann, Salma
6 Lin, Gwo Dong
6 Moody, Robert Vaughan
6 Oliveira, Claudemir P.
6 Pakes, Anthony G.
6 Patie, Pierre
6 Schmüdgen, Konrad
6 Valent, Galliano
6 van Doorn, Erik A.
5 Applebaum, David B.
5 Chavan, Sameer Laxman
5 Infusino, Maria
5 Koumandos, Stamatis
5 Lim, Dongkyu
5 Luo, Qiuming
5 Maserick, Peter Harrington
5 Njåstad, Olav
5 Robinson, Derek W.
5 Schweitzer, Marcel
5 Shi, Xiaoting
4 Bogdan, Krzysztof
4 Bratteli, Ola
4 Caponera, Alessia
4 Chu, Yuming
4 Curto, Raúl Enrique
4 Fialkow, Lawrence A.
4 Hanyga, Andrzej
4 Heyer, Herbert
4 Karp, Dmitriĭ Borisovich
4 Kilic, Emrah
4 Kolsrud, Torbjörn
4 Lubinsky, Doron S.
4 Marshall, Murray Angus
4 Olteanu, Octav
4 Putinar, Mihai
4 Rösler, Margit
4 Ruscheweyh, Stephan
4 Sandev, Trifce
4 Schnurr, Alexander
4 Szafraniec, Franciszek Hugon
4 Szczypkowski, Karol
4 Szwarc, Ryszard
4 Urbina, Wilfredo O.
4 Vasilescu, Florian-Horia
4 Voit, Michael
4 Woess, Wolfgang
4 Xu, Yuan
4 Yang, Zhenhang
4 Zhu, Mengkun
3 Afendras, Georgios
3 Alegria, Alfredo
3 Atakishiev, Natig M.
3 Atanasiu, Dragu
...and 1,042 more Authors
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Cited in 305 Serials

59 Journal of Mathematical Analysis and Applications
44 Journal of Computational and Applied Mathematics
35 Proceedings of the American Mathematical Society
30 Journal of Functional Analysis
29 Transactions of the American Mathematical Society
27 Journal of Approximation Theory
22 Mathematische Annalen
19 Bernoulli
18 Statistics & Probability Letters
16 Applied Mathematics and Computation
16 Integral Equations and Operator Theory
16 Journal of Theoretical Probability
15 Mathematische Zeitschrift
14 The Annals of Probability
13 Potential Analysis
13 Positivity
12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
12 Probability Theory and Related Fields
12 Constructive Approximation
11 Expositiones Mathematicae
11 The Journal of Fourier Analysis and Applications
10 Journal of Statistical Physics
10 Integral Transforms and Special Functions
9 Communications in Mathematical Physics
9 Israel Journal of Mathematics
9 Archiv der Mathematik
9 Journal of Inequalities and Applications
8 Mathematical Notes
8 Arkiv för Matematik
8 Journal of Applied Probability
8 Journal of Multivariate Analysis
8 Monatshefte für Mathematik
8 Semigroup Forum
8 Stochastic Processes and their Applications
8 The Ramanujan Journal
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal of Mathematical Physics
7 Rocky Mountain Journal of Mathematics
7 Advances in Mathematics
7 The Annals of Statistics
7 Mathematische Nachrichten
7 Abstract and Applied Analysis
7 Complex Analysis and Operator Theory
7 Electronic Journal of Statistics
6 Journal d’Analyse Mathématique
6 Annales de l’Institut Fourier
6 Annals of the Institute of Statistical Mathematics
6 Inventiones Mathematicae
6 Manuscripta Mathematica
6 Acta Applicandae Mathematicae
6 Linear Algebra and its Applications
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Analysis and Applications (Singapore)
6 Advances in Difference Equations
5 Studia Mathematica
5 Mathematica Slovaca
5 Mathematical Programming. Series A. Series B
5 Bulletin des Sciences Mathématiques
5 Electronic Journal of Probability
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Extremes
5 Acta Mathematica Sinica. English Series
5 Journal of the Australian Mathematical Society
5 Journal of Pseudo-Differential Operators and Applications
4 Bulletin of the Australian Mathematical Society
4 Czechoslovak Mathematical Journal
4 Duke Mathematical Journal
4 Memoirs of the American Mathematical Society
4 Nagoya Mathematical Journal
4 Results in Mathematics
4 Ergodic Theory and Dynamical Systems
4 Journal of Mathematical Sciences (New York)
4 Mathematical Inequalities & Applications
3 Advances in Applied Probability
3 Computers & Mathematics with Applications
3 Ukrainian Mathematical Journal
3 Mathematics of Computation
3 Acta Mathematica
3 Bulletin de la Société Mathématique de France
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Differential Equations
3 Journal of Number Theory
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Scandinavian Actuarial Journal
3 Advances in Applied Mathematics
3 Acta Mathematica Hungarica
3 Statistics
3 Mathematical and Computer Modelling
3 Forum Mathematicum
3 The Annals of Applied Probability
3 Communications in Statistics. Theory and Methods
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Indagationes Mathematicae. New Series
3 Computational Optimization and Applications
3 St. Petersburg Mathematical Journal
3 Journal of Difference Equations and Applications
3 Computational Methods and Function Theory
3 Mediterranean Journal of Mathematics
3 Operators and Matrices
...and 205 more Serials
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Cited in 56 Fields

334 Probability theory and stochastic processes (60-XX)
241 Special functions (33-XX)
199 Operator theory (47-XX)
179 Integral transforms, operational calculus (44-XX)
149 Abstract harmonic analysis (43-XX)
133 Harmonic analysis on Euclidean spaces (42-XX)
130 Real functions (26-XX)
130 Functional analysis (46-XX)
101 Functions of a complex variable (30-XX)
88 Statistics (62-XX)
64 Number theory (11-XX)
53 Partial differential equations (35-XX)
48 Approximations and expansions (41-XX)
44 Combinatorics (05-XX)
44 Potential theory (31-XX)
40 Numerical analysis (65-XX)
36 Topological groups, Lie groups (22-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
31 Convex and discrete geometry (52-XX)
30 Measure and integration (28-XX)
30 Statistical mechanics, structure of matter (82-XX)
28 Quantum theory (81-XX)
26 Dynamical systems and ergodic theory (37-XX)
25 Ordinary differential equations (34-XX)
21 Difference and functional equations (39-XX)
18 Computer science (68-XX)
16 Algebraic geometry (14-XX)
16 Operations research, mathematical programming (90-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Integral equations (45-XX)
10 Differential geometry (53-XX)
9 Field theory and polynomials (12-XX)
9 Group theory and generalizations (20-XX)
8 Mechanics of deformable solids (74-XX)
8 Geophysics (86-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Commutative algebra (13-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Optics, electromagnetic theory (78-XX)
5 Nonassociative rings and algebras (17-XX)
5 Sequences, series, summability (40-XX)
5 General topology (54-XX)
5 Fluid mechanics (76-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
5 Information and communication theory, circuits (94-XX)
3 Mechanics of particles and systems (70-XX)
2 Associative rings and algebras (16-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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