Edit Profile (opens in new tab) Berg, Christian Compute Distance To: Compute Author ID: 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 Co-Authors 58 single-authored 10 Durán, Antonio José 10 Pedersen, Henrik Laurberg 9 Christensen, Jens Peter Reus 7 Forst, Gunnar 6 Szwarc, Ryszard 4 Porcu, Emilio 4 Vignat, Christophe 3 Alzer, Horst 3 Fuglede, Bent 3 Maserick, Peter Harrington 3 Peron, Ana Paula 3 Ressel, Paul 2 Christiansen, Jacob Stordal 2 Faraut, Jacques 2 Ismail, Mourad El-Houssieny 2 Thill, Marco 2 Valent, Galliano 1 Andersen, Jørgen Ellegaard 1 Atia, Mohamed Jalel 1 Bakan, Andrew G. 1 Beygmohammadi, Maryam 1 Boyadzhiev, Khristo N. 1 Çetinkaya, Asena 1 Chen, Yang 1 deLaubenfels, Ralph J. 1 Dunkl, Charles F. 1 Hayman, Walter Kurt 1 Jensen, Christian Ulrik 1 Karp, Dmitriĭ Borisovich 1 Kheriji, Lotfi 1 Koumandos, Stamatis 1 Laub, Jesper 1 Leutwiler, Heinz 1 López, José Luis 1 Lützen, Jesper 1 Marcellán Español, Francisco 1 Massa, Eugenio 1 Mateu, Jorge 1 Munkholm, Hans Jørgen 1 Netuka, Ivan 1 Pakes, Anthony G. 1 Petersen, Helle Bjerg 1 Qi, Feng 1 Ruffing, Andreas 1 Salinger, David L. 1 Sasvári, Zoltán 1 Soucek, Vladimir 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 all top 5 Fields 48 Integral transforms, operational calculus (44-XX) 36 Probability theory and stochastic processes (60-XX) 34 Special functions (33-XX) 27 Abstract harmonic analysis (43-XX) 20 Potential theory (31-XX) 20 Operator theory (47-XX) 19 Functions of a complex variable (30-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 8 Real functions (26-XX) 6 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 0308.31001Berg, Christian; Forst, Gunnar 264 1975 Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul 215 1984 Integral representation of some functions related to the gamma function. Zbl 1162.33300Berg, Christian 67 2004 Density questions in the classical theory of moments. Zbl 0437.42007Berg, Christian; Christensen, J. P. Reus 64 1981 A remark on the multidimensional moment problem. Zbl 0416.46003Berg, C.; Christensen, J. P. R.; Jensen, C. U. 38 1979 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 37 2006 From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004Berg, Christian; Porcu, Emilio 37 2017 Some classes of completely monotonic functions. Zbl 1021.26002Alzer, Horst; Berg, Christian 32 2002 Positive definite functions on Abelian semigroups. Zbl 0331.43010Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul 31 1976 Indeterminate moment problems and the theory of entire functions. Zbl 0853.44005Berg, Christian 30 1995 Rotation invariant moment problems. Zbl 0744.44006Berg, Christian; Thill, Marco 28 1991 The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes. Zbl 0966.44500Berg, Christian; Valent, Galliano 28 1994 \(q\)-Hermite polynomials and classical orthogonal polynomials. Zbl 0858.33015Berg, Christian; Ismail, Mourad E. H. 25 1996 Markov’s theorem revisited. Zbl 0810.42014Berg, Christian 23 1994 A completely monotone function related to the gamma function. Zbl 0989.33002Berg, Christian; Pedersen, Henrik L. 23 2001 The index of determinacy for measures and the \(\ell^ 2\)-norm of orthonormal polynomials. Zbl 0863.42019Berg, Christian; Duran, Antonio J. 23 1995 Exponentially bounded positive definite functions. Zbl 0519.43005Berg, Christian; Maserick, P. H. 22 1984 Potential theory on the infinite dimensional torus. Zbl 0371.31007Berg, Christian 22 1976 Generation of generators of holomorphic semigroups. Zbl 0796.47009Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph 22 1993 The Dagum family of isotropic correlation functions. Zbl 1158.60350Berg, Christian; Mateu, Jorge; Porcu, Emilio 22 2008 Small eigenvalues of large Hankel matrices: The indeterminate case. Zbl 1018.47020Berg, 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 1280.26017Qi, Feng; Berg, Christian 20 2013 On the order and type of the entire functions associated with an indeterminate Hamburger moment problem. Zbl 0805.30022Berg, Christian; Pedersen, Henrik L. 20 1994 On powers of Stieltjes moment sequences, I. Zbl 1086.44003Berg, Christian 19 2005 The cube of a normal distribution is indeterminate. Zbl 0645.60018Berg, Christian 18 1988 A transformation from Hausdorff to Stieltjes moment sequences. Zbl 1057.44002Berg, Christian; Durán, Antonio J. 18 2004 From discrete to absolutely continuous solutions of indeterminate moment problems. Zbl 0962.44012Berg, Christian 17 1998 Pick functions related to the gamma function. Zbl 1050.33001Berg, Christian; Pedersen, Henrik L. 17 2002 The multidimensional moment problem and semigroups. Zbl 0636.44007Berg, Christian 15 1987 Polynomially positive definite sequences. Zbl 0486.44004Berg, Christian; Maserick, P. H. 15 1982 Corps convexes et potentiels spheriques. Zbl 0181.38303Berg, C. 14 1969 Sur la norme des opérateurs de convolution. Zbl 0261.22009Berg, Christian; Christensen, Jens Peter Reus 14 1974 The smallest eigenvalue of Hankel matrices. Zbl 1259.15024Berg, 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 1230.30021Berg, Christian; Pedersen, Henrik L. 12 2011 Generalized \(q\)-Hermite polynomials. Zbl 0989.81004Berg, Christian; Ruffing, Andreas 12 2001 On powers of Stieltjes moment sequences. II. Zbl 1111.44001Berg, Christian 11 2007 Non-symmetric translation invariant Dirichlet forms. Zbl 0263.31010Berg, Christian; Forst, Gunnar 10 1973 Moment problems and polynomial approximation. Zbl 0877.44003Berg, Christian 10 1996 Linearization coefficients of Bessel polynomials and properties of student \(t\)-distributions. Zbl 1132.33308Berg, Christian; Vignat, Christophe 9 2008 Nevanlinna matrices of entire functions. Zbl 0827.30013Berg, Christian; Pedersen, Henrik L. 9 1995 Sequences with finitely many negative squares. Zbl 0656.47021Berg, C.; Christensen, J. P. R.; Maserick, P. H. 8 1988 Functions with a finite number of negative squares on semigroups. Zbl 0671.43008Berg, Christian; Sasvári, Zoltán 8 1989 The Chen-Rubin conjecture in a continuous setting. Zbl 1107.60006Berg, Christian; Pedersen, Henrik L. 8 2006 Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes. Zbl 0826.30006Berg, Christian; Valent, Galliano 8 1995 Logarithmic order and type of indeterminate moment problems. Zbl 1127.44006Berg, Christian; Pedersen, Henrik L.; Hayman, Walter 8 2007 Dirichlet forms on symmetric spaces. Zbl 0243.31013Berg, Christian 8 1973 On the relation between amenability of locally compact groups and the norms of convolution operators. Zbl 0264.43003Berg, Christian; Christensen, Jens Peter Reus 8 1974 Fibonacci numbers and orthogonal polynomials. Zbl 1231.33009Berg, Christian 7 2011 Some transformations of Hausdorff moment sequences and harmonic numbers. Zbl 1087.44001Berg, Christian; Durán, Antonio J. 7 2005 On some indeterminate moment problems for measures on a geometric progression. Zbl 0929.44004Berg, Christian 7 1998 On the order of indeterminate moment problems. Zbl 1287.44001Berg, Christian; Szwarc, Ryszard 7 2014 Schoenberg’s theorem for real and complex Hilbert spheres revisited. Zbl 1388.43006Berg, Christian; Peron, Ana P.; Porcu, Emilio 7 2018 A density index for the Stieltjes moment problem. Zbl 0830.44006Berg, Christian; Thill, Marco 7 1991 On the preservation of determinacy under convolution. Zbl 0529.60009Berg, Christian 6 1985 Bounds on Turán determinants. Zbl 1190.33012Berg, Christian; Szwarc, Ryszard 6 2009 Abstract Steiner points for convex polytopes. Zbl 0222.52006Berg, Christian 6 1971 A determinant characterization of moment sequences with finitely many mass points. Zbl 1332.44004Berg, Christian; Szwarc, Ryszard 6 2015 A completely monotonic function used in an inequality of Alzer. Zbl 1248.33008Berg, Christian; Pedersen, Henrik L. 5 2012 Exposants critiques dans le problème des moments. Zbl 0531.28008Berg, Christian; Christensen, Jens Peter Reus 5 1983 Liouville’s operator for a disc in space. Zbl 0702.45015Berg, Christian; Fuglede, Bent 5 1990 A Pick function related to an inequality for the entropy function. Zbl 0989.30028Berg, Christian 5 2001 Convexity of the median in the gamma distribution. Zbl 05319828Berg, Christian; Pedersen, Henrik L. 5 2008 Quantum Hilbert matrices and orthogonal polynomials. Zbl 1183.33034Andersen, Jørgen Ellegaard; Berg, Christian 5 2009 Orthogonal polynomials and analytic functions associated to positive definite matrices. Zbl 1121.30017Berg, Christian; Durán, Antonio J. 5 2006 Asymptotic behaviour of the Urbanik semigroup. Zbl 1317.30058Berg, Christian; López, José Luis 5 2015 When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to \(\ell^ 2\)? Zbl 0867.46019Berg, Christian; Duran, Antonio J. 5 1996 Quelques remarques sur le cône de Stieltjes. Zbl 0449.31009Berg, Christian 4 1980 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 4 2005 Orthogonal expansions related to compact Gelfand pairs. Zbl 1407.43002Berg, Christian; Peron, Ana P.; Porcu, Emilio 4 2018 Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities. Zbl 1247.33009Berg, Christian; Vignat, Christophe 3 2012 On a generalized gamma convolution related to the \(q\)-calculus. Zbl 1219.33016Berg, Christian 3 2005 The Stieltjes cone is logarithmically convex. Zbl 0418.44001Berg, Christian 3 1979 On the density of the sum of two independent Student \(t\)-random vectors. Zbl 1190.62104Berg, C.; Vignat, C. 3 2010 On infinitely divisible solutions to indeterminate moment problems. Zbl 1161.44306Berg, Christian 3 2000 The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function. Zbl 1162.44004Berg, Christian; Durán, Antonio J. 3 2008 On some results of Cufaro Petroni about Student \(t\)-processes. Zbl 1144.60033Berg, C.; Vignat, C. 3 2008 Recent results about moment problems. Zbl 0919.60005Berg, Christian 3 1995 J. Liouville’s unpublished work on an integral operator in potential theory. A historical and mathematical analysis. Zbl 0695.01008Berg, Christian; Lützen, Jesper 2 1990 The Pareto distribution is a generalized Gamma-convolution-a new proof. Zbl 0453.60022Berg, Christian 2 1981 Multiply self-decomposable probability measures on R+ and Z+. Zbl 0488.60027Berg, Christian; Forst, Gunnar 2 1983 On the existence of condenser potentials. Zbl 0351.31010Berg, Christian 2 1978 On Brownian and Poissonian convolution semigroups on the infinite dimensional torus. Zbl 0371.31008Berg, Christian 2 1977 Representation of completely convex functions by the extreme-point method. Zbl 0386.46039Berg, Christian 2 1977 Infinitely divisible probability measures and potential kernels. Zbl 0402.60013Berg, Christian; Forst, Gunnar 2 1979 On the support of the measures in a symmetric convolution semigroup. Zbl 0309.60009Berg, Christian 2 1976 Correction to a paper by A. G. Pakes. Zbl 1059.44004Berg, Christian 2 2004 Shephard’s approximation theory for convex bodies and the Milman theorem. Zbl 0185.50202Berg, C. 2 1969 Quelques propriétés de la topologie fine, dans la théorie du potential et des processus standard. Zbl 0204.43301Berg, C. 2 1971 Sémi-groupes de Feller invariants sur les espaces homogènes non moyennables. Zbl 0267.43004Berg, Christian; Faraut, Jacques 2 1974 Open problems. Zbl 1317.33005Berg, Christian 2 2015 Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde. Zbl 0889.47010Berg, Christian; Duran, Antonio J. 2 1997 Orthogonal polynomials, \(L^ 2\)-spaces and entire functions. Zbl 0879.42015Berg, Christian; Duran, Antonio J. 2 1996 Inverse of infinite Hankel moment matrices. Zbl 1412.42064Berg, Christian; Szwarc, Ryszard 2 2018 A question by T. S. Chihara about shell polynomials and indeterminate moment problems. Zbl 1229.33014Berg, Christian; Christiansen, Jacob Stordal 1 2011 A convolution equation relating the generalized Gamma-convolutions and the Bondesson class. Zbl 0499.60016Berg, Christian; Forst, Gunnar 1 1982 Semi-groupes de moments. Zbl 0528.43004Berg, Christian 1 1984 Suites complètement définies positives, majoration de Schur et le problème des moments de Stieltjes en dimension k. Zbl 0532.44005Berg, Christian; Christensen, Jens Peter Reus 1 1983 Positive definite and related functions on semigroups. Zbl 0722.43005Berg, 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 0373.43005Berg, Christian; Ressel, Paul 1 1978 Completely monotonic ratios of basic and ordinary gamma functions. Zbl 1477.33001Berg, Christian; Çetinkaya, Asena; Karp, Dmitrii 1 2021 A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function. Zbl 1462.30051Berg, Christian; Massa, Eugenio; Peron, Ana P. 1 2021 A two-parameter extension of Urbanik’s product convolution semigroup. Zbl 1447.60044Berg, Christian 1 2019 Schoenberg’s theorem for real and complex Hilbert spheres revisited. Zbl 1388.43006Berg, Christian; Peron, Ana P.; Porcu, Emilio 7 2018 Orthogonal expansions related to compact Gelfand pairs. Zbl 1407.43002Berg, Christian; Peron, Ana P.; Porcu, Emilio 4 2018 Inverse of infinite Hankel moment matrices. Zbl 1412.42064Berg, Christian; Szwarc, Ryszard 2 2018 From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004Berg, Christian; Porcu, Emilio 37 2017 A determinant characterization of moment sequences with finitely many mass points. Zbl 1332.44004Berg, Christian; Szwarc, Ryszard 6 2015 Asymptotic behaviour of the Urbanik semigroup. Zbl 1317.30058Berg, Christian; López, José Luis 5 2015 Open problems. Zbl 1317.33005Berg, Christian 2 2015 On the order of indeterminate moment problems. Zbl 1287.44001Berg, 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 1280.26017Qi, Feng; Berg, Christian 20 2013 On an iteration leading to a \(q\)-analogue of the digamma function. Zbl 1308.33012Berg, Christian; Petersen, Helle Bjerg 1 2013 A completely monotonic function used in an inequality of Alzer. Zbl 1248.33008Berg, Christian; Pedersen, Henrik L. 5 2012 Derivation of an integral of Boros and Moll via convolution of Student \(t\)-densities. Zbl 1247.33009Berg, Christian; Vignat, Christophe 3 2012 The smallest eigenvalue of Hankel matrices. Zbl 1259.15024Berg, 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 1230.30021Berg, Christian; Pedersen, Henrik L. 12 2011 Fibonacci numbers and orthogonal polynomials. Zbl 1231.33009Berg, Christian 7 2011 A question by T. S. Chihara about shell polynomials and indeterminate moment problems. Zbl 1229.33014Berg, Christian; Christiansen, Jacob Stordal 1 2011 On the density of the sum of two independent Student \(t\)-random vectors. Zbl 1190.62104Berg, C.; Vignat, C. 3 2010 Bounds on Turán determinants. Zbl 1190.33012Berg, Christian; Szwarc, Ryszard 6 2009 Quantum Hilbert matrices and orthogonal polynomials. Zbl 1183.33034Andersen, Jørgen Ellegaard; Berg, Christian 5 2009 The Dagum family of isotropic correlation functions. Zbl 1158.60350Berg, Christian; Mateu, Jorge; Porcu, Emilio 22 2008 Linearization coefficients of Bessel polynomials and properties of student \(t\)-distributions. Zbl 1132.33308Berg, Christian; Vignat, Christophe 9 2008 Convexity of the median in the gamma distribution. Zbl 05319828Berg, Christian; Pedersen, Henrik L. 5 2008 The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function. Zbl 1162.44004Berg, Christian; Durán, Antonio J. 3 2008 On some results of Cufaro Petroni about Student \(t\)-processes. Zbl 1144.60033Berg, C.; Vignat, C. 3 2008 Iteration of the rational function \(z-1/z\) and a Hausdorff moment sequence. Zbl 1162.44005Berg, Christian; Durán, Antonio J. 1 2008 On powers of Stieltjes moment sequences. II. Zbl 1111.44001Berg, Christian 11 2007 Logarithmic order and type of indeterminate moment problems. Zbl 1127.44006Berg, Christian; Pedersen, Henrik L.; Hayman, Walter 8 2007 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 37 2006 The Chen-Rubin conjecture in a continuous setting. Zbl 1107.60006Berg, Christian; Pedersen, Henrik L. 8 2006 Orthogonal polynomials and analytic functions associated to positive definite matrices. Zbl 1121.30017Berg, Christian; Durán, Antonio J. 5 2006 On powers of Stieltjes moment sequences, I. Zbl 1086.44003Berg, Christian 19 2005 Some transformations of Hausdorff moment sequences and harmonic numbers. Zbl 1087.44001Berg, Christian; Durán, Antonio J. 7 2005 On a conjecture of Clark and Ismail. Zbl 1071.33004Alzer, Horst; Berg, Christian; Koumandos, Stamatis 4 2005 On a generalized gamma convolution related to the \(q\)-calculus. Zbl 1219.33016Berg, 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 1162.33300Berg, Christian 67 2004 A transformation from Hausdorff to Stieltjes moment sequences. Zbl 1057.44002Berg, Christian; Durán, Antonio J. 18 2004 Correction to a paper by A. G. Pakes. Zbl 1059.44004Berg, Christian 2 2004 Some classes of completely monotonic functions. Zbl 1021.26002Alzer, Horst; Berg, Christian 32 2002 Small eigenvalues of large Hankel matrices: The indeterminate case. Zbl 1018.47020Berg, Christian; Chen, Yang; Ismail, Mourad E. H. 20 2002 Pick functions related to the gamma function. Zbl 1050.33001Berg, Christian; Pedersen, Henrik L. 17 2002 A completely monotone function related to the gamma function. Zbl 0989.33002Berg, Christian; Pedersen, Henrik L. 23 2001 Generalized \(q\)-Hermite polynomials. Zbl 0989.81004Berg, Christian; Ruffing, Andreas 12 2001 A Pick function related to an inequality for the entropy function. Zbl 0989.30028Berg, Christian 5 2001 On infinitely divisible solutions to indeterminate moment problems. Zbl 1161.44306Berg, Christian 3 2000 From discrete to absolutely continuous solutions of indeterminate moment problems. Zbl 0962.44012Berg, Christian 17 1998 On some indeterminate moment problems for measures on a geometric progression. Zbl 0929.44004Berg, Christian 7 1998 Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde. Zbl 0889.47010Berg, Christian; Duran, Antonio J. 2 1997 \(q\)-Hermite polynomials and classical orthogonal polynomials. Zbl 0858.33015Berg, Christian; Ismail, Mourad E. H. 25 1996 Moment problems and polynomial approximation. Zbl 0877.44003Berg, Christian 10 1996 When does a discrete differential perturbation of a sequence of orthonormal polynomials belong to \(\ell^ 2\)? Zbl 0867.46019Berg, Christian; Duran, Antonio J. 5 1996 Orthogonal polynomials, \(L^ 2\)-spaces and entire functions. Zbl 0879.42015Berg, Christian; Duran, Antonio J. 2 1996 Indeterminate moment problems and the theory of entire functions. Zbl 0853.44005Berg, Christian 30 1995 The index of determinacy for measures and the \(\ell^ 2\)-norm of orthonormal polynomials. Zbl 0863.42019Berg, Christian; Duran, Antonio J. 23 1995 Nevanlinna matrices of entire functions. Zbl 0827.30013Berg, Christian; Pedersen, Henrik L. 9 1995 Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes. Zbl 0826.30006Berg, Christian; Valent, Galliano 8 1995 Recent results about moment problems. Zbl 0919.60005Berg, Christian 3 1995 The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes. Zbl 0966.44500Berg, Christian; Valent, Galliano 28 1994 Markov’s theorem revisited. Zbl 0810.42014Berg, Christian 23 1994 On the order and type of the entire functions associated with an indeterminate Hamburger moment problem. Zbl 0805.30022Berg, Christian; Pedersen, Henrik L. 20 1994 \(L^ 2\)-approximation with respect to rotation invariant measures. Zbl 0840.41004Berg, Christian 1 1994 Generation of generators of holomorphic semigroups. Zbl 0796.47009Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph 22 1993 On the representability of harmonic functions as Newtonian potentials. Zbl 0790.31004Berg, Christian; Leutwiler, Heinz 1 1993 Rotation invariant moment problems. Zbl 0744.44006Berg, Christian; Thill, Marco 28 1991 A density index for the Stieltjes moment problem. Zbl 0830.44006Berg, Christian; Thill, Marco 7 1991 Liouville’s operator for a disc in space. Zbl 0702.45015Berg, Christian; Fuglede, Bent 5 1990 J. Liouville’s unpublished work on an integral operator in potential theory. A historical and mathematical analysis. Zbl 0695.01008Berg, Christian; Lützen, Jesper 2 1990 Positive definite and related functions on semigroups. Zbl 0722.43005Berg, Christian 1 1990 Functions with a finite number of negative squares on semigroups. Zbl 0671.43008Berg, Christian; Sasvári, Zoltán 8 1989 The cube of a normal distribution is indeterminate. Zbl 0645.60018Berg, Christian 18 1988 Sequences with finitely many negative squares. Zbl 0656.47021Berg, C.; Christensen, J. P. R.; Maserick, P. H. 8 1988 The multidimensional moment problem and semigroups. Zbl 0636.44007Berg, Christian 15 1987 On the preservation of determinacy under convolution. Zbl 0529.60009Berg, Christian 6 1985 Harmonic analysis on semigroups. Theory of positive definite and related functions. Zbl 0619.43001Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul 215 1984 Exponentially bounded positive definite functions. Zbl 0519.43005Berg, Christian; Maserick, P. H. 22 1984 Semi-groupes de moments. Zbl 0528.43004Berg, Christian 1 1984 Exposants critiques dans le problème des moments. Zbl 0531.28008Berg, Christian; Christensen, Jens Peter Reus 5 1983 Multiply self-decomposable probability measures on R+ and Z+. Zbl 0488.60027Berg, Christian; Forst, Gunnar 2 1983 Suites complètement définies positives, majoration de Schur et le problème des moments de Stieltjes en dimension k. Zbl 0532.44005Berg, Christian; Christensen, Jens Peter Reus 1 1983 Polynomially positive definite sequences. Zbl 0486.44004Berg, Christian; Maserick, P. H. 15 1982 A convolution equation relating the generalized Gamma-convolutions and the Bondesson class. Zbl 0499.60016Berg, Christian; Forst, Gunnar 1 1982 Density questions in the classical theory of moments. Zbl 0437.42007Berg, Christian; Christensen, J. P. Reus 64 1981 The Pareto distribution is a generalized Gamma-convolution-a new proof. Zbl 0453.60022Berg, Christian 2 1981 Quelques remarques sur le cône de Stieltjes. Zbl 0449.31009Berg, Christian 4 1980 A remark on the multidimensional moment problem. Zbl 0416.46003Berg, C.; Christensen, J. P. R.; Jensen, C. U. 38 1979 The Stieltjes cone is logarithmically convex. Zbl 0418.44001Berg, Christian 3 1979 Infinitely divisible probability measures and potential kernels. Zbl 0402.60013Berg, Christian; Forst, Gunnar 2 1979 On the existence of condenser potentials. Zbl 0351.31010Berg, Christian 2 1978 Une forme abstraite du théorème de Schoenberg. Zbl 0373.43005Berg, Christian; Ressel, Paul 1 1978 Principes duaux en théorie du potentiel. Zbl 0389.31007Berg, Christian 1 1978 On Brownian and Poissonian convolution semigroups on the infinite dimensional torus. Zbl 0371.31008Berg, Christian 2 1977 Representation of completely convex functions by the extreme-point method. Zbl 0386.46039Berg, Christian 2 1977 On the solutions to elliptic boundary value problems depending on a parameter. Zbl 0345.35011Berg, Christian 1 1977 Positive definite functions on Abelian semigroups. Zbl 0331.43010Berg, Christian; Christensen, Jens Peter Reus; Ressel, Paul 31 1976 Potential theory on the infinite dimensional torus. Zbl 0371.31007Berg, Christian 22 1976 On the support of the measures in a symmetric convolution semigroup. Zbl 0309.60009Berg, Christian 2 1976 Potential theory on locally compact Abelian groups. Zbl 0308.31001Berg, Christian; Forst, Gunnar 264 1975 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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