Christian Berg
Professor, emeritus
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 1979
- Published
A remark on the multidimensional moment problem
Berg, Christian, Christensen, J. P. R. & Jensen, Chr Ulrik, 1979, In: Mathematische Annalen. 243, 2, p. 163-169 7 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 1991
- Published
A density index for the Stieltjes moment problem
Berg, Christian & Thill, M., 1991, In: IMACS Annals on Computing and applied Math.. 9, p. 185-188Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Rotation invariant moment problems
Berg, Christian & Thill, M., 1991, In: Acta Mathematica. 167, p. 207-227Research output: Contribution to journal › Journal article › Research › peer-review
- 1993
- Published
Generation of generators of holomorphic semigroups
Berg, Christian, Boyadzhiev, K. & Delaubenfels, R., 1993, In: J. Austral. Math. Soc. (Series A). 55, p. 246-269Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On the representability of harmonic funtions as Newtonian potentials
Berg, Christian & Leutwiler, H., 1993, In: Expo. Math.. 11, p. 369-375Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Trekantens Nipunktscirkel
Berg, Christian, 1993, Matematiske Ideer, en artikelsamling til større skriftlige opgaver. København: Matematiklærerforeningen, p. 26-35Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education
- Published
L2-approximation with respect to rotation invariant measures
Berg, Christian, 1993, In: Suppl. Rend. Circ. Mat. Palermo. 33, p. 211-217Research output: Contribution to journal › Journal article › Research › peer-review
- 1994
- Published
Markov's Theorem Revisited
Berg, Christian, 1994, In: J. Approximation Theory. 78, p. 260-275Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Nevanlinna extremal measures and zeros of entire functions
Berg, Christian & Pedersen, H. L., 1994, Linear and Complex Analysis Problem Book 3, Part II: Lecture Notes in Mathematics. Havin, V. P. & Nikolski, N. K. (eds.). Berlin: Springer, Vol. 1574. p. 89-91Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
On the order and type of the entire functions associated with an indeterminate Hamburger moment problem
Berg, Christian & Pedersen, H. L., 1994, In: Arkiv for Matematik. 32, p. 1-11Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes
Berg, Christian & Valent, G., 1994, In: Methods and Applications of Analysis. 1, p. 169-209Research output: Contribution to journal › Journal article › Research › peer-review
- 1995
- Published
Nevanlinna Matrices of Entire Functions
Berg, Christian & Pedersen, H. L., 1995, In: Math. Nachr.. 171, p. 29-52Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes
Berg, Christian & Valent, G., 1995, In: J. Comput. Appl. Math.. 57, p. 29-43Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Recent results about moment problems
Berg, Christian, 1995, Probability measure on groups and related structures XI Proceedings Oberwolfach 1994. Singapore: World Scientific, p. 1-13Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
Sur la stabilite de la classe des probabilites "determinees"
Berg, Christian, 1995, In: Seminaire d'Initiation a l'Analyse (1992-93). 32, p. 1-7Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The index of determinacy for measures and the l2-norm of orthonormal polynominals
Berg, Christian & Duran, A. J., 1995, In: Transactions of the American Mathematical Society. 347, p. 2795-2811Research output: Contribution to journal › Journal article › Research › peer-review
- 1996
- Published
Indeterminate moment problems and the theory of entire functions
Berg, Christian, 1996, In: J. Comput. Appl. Math.. 65, p. 27-55Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Orthogonal polynomials, L2-spaces and entire functions
Berg, Christian & Duran, A. J., 1996, In: Mathematica Scandinavica. 79, p. 209-223Research output: Contribution to journal › Journal article › Research › peer-review
- Published
When does a discrete differential pertubation of a sequence of orthonormal polynomials belong to l2
Berg, Christian & Duran, A. J., 1996, In: J. Funct. Anal.. 136, p. 127-153Research output: Contribution to journal › Journal article › Research › peer-review
- 1997
- Published
Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde
Berg, Christian & Duran, A. J., 1997, In: Proc. Amer. Math. Soc.. 125, p. 523-530Research output: Contribution to journal › Journal article › Research › peer-review
- 1998
- Published
From discrete to absolutely continuous solutions of indeterminate moment problems
Berg, Christian, 1998, In: Arab J.Math.Sc.. 4, 2, p. 1-18Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On some indeterminate moment problems for measures on a geometric progression
Berg, Christian, 1998, In: J. Comput. Appl. Math.. 99, p. 67-75Research output: Contribution to journal › Journal article › Research › peer-review
- 2000
- Published
On Infinitely Divisible Solutions to Indeterminate Moment Problems
Berg, Christian, 2000, Proceedings of the International Workshop on "Special Functions", Hong Kong, 21-25 June 1999, Editors C. Dunkl, M. Ismail. Singapore: World Scientific, p. 31-41Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 2001
- Published
A Pick Function related to an Inequality for the Entropy Function
Berg, Christian, 2001, In: Journal of Inequalities in Pure and Applied Mathematics. 26, 2, 3 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
A completely monotone function related to the Gamma function
Berg, Christian & Pedersen, H. L., 2001, In: Journal of Computational and Applied Mathematics. 133, p. 219-230Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Generalized q-Hermite Polynomials
Berg, Christian & Ruffing, A., 2001, In: Communications in Mathematical Physics. 223, 1, p. 29-46Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Kompleks Funktionsteori
Berg, Christian, 2001, København Ø: Universitetsbogladen. 144 p.Research output: Book/Report › Book › Education
- 2002
- Published
Kompleks Funktionsteori
Berg, Christian, 2002, Kompleks Funktionsteori. København: Universitetsbogladen, p. 156Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education
- Published
Pick functions related to the Gamma function
Berg, Christian & Pedersen, H. L., 2002, In: Rocky Mountain Journal of Mathematics. 32, 2, p. 507-525Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Small eigenvalues of large Hankel matrices. The indeterminate case
Berg, Christian, Chen, Y. & Ismail, M. E. H., 2002, In: Mathematica Scandinavica. 91, p. 67-81Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Some Classes of Completely Monotonic Functions
Berg, Christian & Alzer, H., 2002, In: Annales Academiae Scientiarum Fennicae. Mathematica. 27, p. 445-460Research output: Contribution to journal › Journal article › Research › peer-review
- 2004
- Published
A transformation from Hausdorff to Stieltjes moment sequences
Berg, Christian & Duran, A. J., 2004, In: Arkiv for Matematik. 42, p. 239-257Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Correction to a paper by A.G. Pakes
Berg, Christian, 2004, In: Journal of the Australian Mathematical Society. 76, p. 67-73Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Integral representation of some functions related to the gamma function
Berg, Christian, 2004, In: Mediterranean Journal of Mathematics. 1, p. 433-439Research output: Contribution to journal › Journal article › Research › peer-review
- 2005
- Published
On a conjecture of Clark and Ismail
Berg, Christian, Alzer, H. & Koumandos, S., 2005, In: Journal of Approximation Theory. 134, p. 102-113Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On powers on Stieltjes moment sequences, I
Berg, Christian, 2005, In: Journal of Theoretical Probability. 18, p. 871-889Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Proceedings of the Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications
Berg, Christian (ed.), Christiansen, J. S. (ed.) & Pedersen, H. L. (ed.), 2005, 538 p. (Journal of Computational and Applied Mathematics, Vol. 178).Research output: Book/Report › Anthology › Research › peer-review
- Published
Some transformations of Hausdorff moment sequences and harmonic numbers
Berg, Christian & Duran, A. J., 2005, In: Canad. J. Math.. 57, p. 941-960Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Theory and Applications of Special Functions: On a generalized Gamma convolution related to the q-calculus
Berg, Christian, 2005, Berlin. 15 p. (Developments of Mathematics, Vol. 13).Research output: Book/Report › Anthology › Research › peer-review
- 2006
- Published
Orthogonal Polynomials and analytic functions associated to positive definite matrices
Berg, Christian & Duran, A. J., 2006, In: Journal of Mathematical Analysis and Applications. 315, 5, p. 54-67Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Ortogonale polynomier og Hilbertmatricen
Berg, Christian, 2006, In: Normat - Nordisk Matematisk Tidsskrift. 54, 3, p. 116-133Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Some classes of completely montonic functions, II
Alzer, H. & Berg, Christian, 2006, In: Ramanujan Journal. 11, p. 225-248Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The Chen-Rubin conjecture in a continuous setting
Berg, Christian & Pedersen, Henrik Laurberg, 2006, In: Methods and Applications of Analysis. 13, 1, p. 63-88 26 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2007
- Published
Complex Analysis
Berg, Christian, 2007, 1. ed. Universitetsparken 5, 2100 København Ø: Universitetsbogladen. 190 p.Research output: Book/Report › Compendium/lecture notes › Education
- Published
Logarithmic order and type of indeterminate moment problems
Berg, Christian, Pedersen, Henrik Laurberg & Hayman, W., 2007, Proceedings of the international Conference "Difference Equations, Special Functions and Orthogonal Polynomials". Elaydi et al., S. (ed.). World Scientific, p. 51-79Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
On powers of Stieltjes moment sequences, II
Berg, Christian, 2007, In: Journal of Computational and Applied Mathematics. 199, p. 23-38Research output: Contribution to journal › Journal article › Research › peer-review
- 2008
- Published
Convexity of the median in the gamma distribution
Berg, Christian & Pedersen, Henrik Laurberg, 2008, In: Arkiv for Matematik. 46, 1, p. 1-6 6 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Iteration of the rational function z-1/z and a Hausdorff moment sequence
Berg, Christian & Durán, A. J., 2008, In: Expositiones Mathematicae. 26, p. 375-385Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Linearization coefficients of Bessel polynomials and properties of Student-t distributions
Berg, Christian & Vignat, C., 2008, In: Constructive Approximation. 27, p. 15-32Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On some results of Cufaro Petroni about Student t-processes
Berg, Christian & Vignat, C., 2008, In: Journal of Physics A: Mathematical and Theoretical (Print Edition). 41, 10 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Stieltjes-Pick-Bernstein-Schoenberg and their connection to complete monotonicity
Berg, Christian, 2008, Positive Definite Functions: From Schoenberg to Space-Time Challenges. Mateu, J. & Porcu, E. (eds.). Dept. of Mathematics, University Jaume I, Castellon, Spain, p. 15-45Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
The Dagum family of isotropic correlation functions
Berg, Christian, Mateu, J. & Porcu, E., 2008, In: Bernoulli. 14, 4, p. 1134-1149Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function
Berg, Christian & Durán, A. J., 2008, In: Mathematica Scandinavica. 103, p. 11-39Research output: Contribution to journal › Journal article › Research › peer-review
- 2009
- Published
Bounds on Turán determinants
Berg, Christian & Szwarc, R., 2009, In: Journal of Approximation Theory. 161, p. 127-141Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Børge Jessen, 19.6.1907-20.3.1993: Biography of Jessen
Berg, Christian, 2009, In: Electronic Journal for History of Probability and Statistics. 5, 1, 15 p.Research output: Contribution to journal › Journal article › Communication
- Published
Quantum Hilbert matrices and orthogonal polynomials
Berg, Christian & Andersen, J. E., 2009, In: Journal of Computational and Applied Mathematics. 233, p. 723-729Research output: Contribution to journal › Journal article › Research › peer-review
- 2010
- Published
On a fixed point in the metric space of normalized Hausdorff moment sequences
Berg, Christian & Beygmohammadi, M., 2010, In: Supplemento ai Rendiconti del Circolo matematico di Palermo. 82, p. 251-257Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On the density of the sum of two independent Student t-random vectors
Berg, Christian & Vignat, C., 2010, In: Statistics & Probability Letters. 80, p. 1043-1055Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Positive polynomials and sums of squares by Murray Marshall. Mathematical Surveys and Monographs, Volume 146, AMS, Providence, RI 2008. ISBN 978-0-8218-4402-1: Book reviews
Berg, Christian, 2010, In: Journal of Approximation Theory. 162, p. 236-238Research output: Contribution to journal › Literature review › Communication
- 2011
- Published
A one-parameter family of pick functions defined by the gamma function and related to the volume of the unit ball in n-space
Berg, Christian & Pedersen, Henrik Laurberg, 2011, In: Proceedings of the American Mathematical Society. 139, 6, p. 2121-2132 12 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
A question by T. S. Chihara about shell polynomials and indeterminate moment problems
Berg, Christian & Christiansen, J. S., 2011, In: Journal of Approximation Theory. 163, 10, p. 1449-1464Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Book review of Barry Simon: Szego's Theorem and its Descendants: Spectral Theory for L^2 Perturbations of Orthogonal Polynomials. Princeton University Press, 2010
Berg, Christian, 2011, In: Journal of Approximation Theory. 163, 8, p. 1029-1034Research output: Contribution to journal › Literature review › Communication
- Published
Fibonacci numbers and orthogonal polynomials
Berg, Christian, 2011, In: Arab Journal of Mathematical Sciences. 17, 2, p. 75-88Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Fibonacci numbers, Euler’s 2-periodic continued fractions and moment sequences
Berg, Christian & Durán, A. J., 2011, In: Fibonacci Quarterly. 49, p. 66-75Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The smallest eigenvalue of Hankel matrices
Berg, Christian & Szwarc, R., 2011, In: Constructive Approximation. 34, 1, p. 107-133Research output: Contribution to journal › Journal article › Research › peer-review
- 2012
- Published
A completely monotonic function used in an inequality of Alzer
Berg, Christian & Pedersen, Henrik Laurberg, 2012, In: Computational Methods and Function Theory. 12, p. 329-341Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Derivation of an integral of Boros and Moll via convolution of Student t-densities
Berg, Christian & Vignat, C., 2012, In: Ramanujan Journal. 27, 2, p. 147-150Research output: Contribution to journal › Journal article › Research › peer-review
- 2013
- Published
Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function
Qi, F. & Berg, Christian, 2013, In: Mediterranean Journal of Mathematics. 10, 4, p. 1685–1696Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On an Iteration Leading to a q-Analogue of the Digamma Function
Berg, Christian & Petersen, H. B., 2013, In: Journal of Fourier Analysis and Applications. 19, 4, p. 762-776Research output: Contribution to journal › Journal article › Research › peer-review
- 2014
- Published
On the order of indeterminate moment problems
Berg, Christian & Szwarc, R., 2014, In: Advances in Mathematics. 250, p. 105-143Research output: Contribution to journal › Journal article › Research › peer-review
- 2015
- Published
Open problems
Berg, Christian, 2015, In: Integral Transforms and Special Functions. 26, 2, p. 90-95Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Asymptotic behaviour of the Urbanik semigroup
Berg, Christian & Luis Lopez, J., Jul 2015, In: Journal of Approximation Theory. 195, p. 109-121Research output: Contribution to journal › Journal article › Research › peer-review
- Published
A determinant characterization of moment sequences with finitely many mass points
Berg, Christian & Szwarc, R., 3 Aug 2015, In: Linear and Multilinear Algebra. 63, 8, p. 1568-1576Research output: Contribution to journal › Journal article › Research › peer-review
- 2017
- Published
On a Family of Functions Studied by Bhatia and Jain
Berg, Christian, 2017, In: Experimental Mathematics. 26, 2, p. 241-246Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Symmetric moment problems and a conjecture of Valent
Berg, Christian & Szwarc, R., 2017, In: Sbornik: Mathematics. 208, 3, p. 335-359Research output: Contribution to journal › Journal article › Research › peer-review
- Published
From Schoenberg Coefficients to Schoenberg Functions
Berg, Christian & Porcu, E., Apr 2017, In: Constructive Approximation. 45, 2, p. 217-241Research output: Contribution to journal › Journal article › Research › peer-review
- 2018
- Published
Inverse of Infinite Hankel Moment Matrices
Berg, Christian & Szwarc, R., 2018, In: Symmetry, Integrability and Geometry: Methods and Applications. 14, 48 p., 109.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Orthogonal expansions related to compact Gelfand pairs
Berg, Christian, Peron, A. P. & Porcu, E., 2018, In: Expositiones Mathematicae. 36, 3-4, p. 259-277Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Solvability of the Hankel determinant problem for real sequences
Bakan, A. & Berg, Christian, 2018, Frontiers In Orthogonal Polynomials and Q-series. Nashed, M. Z. & Li, X. (eds.). World Scientific, p. 85-117 (Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes, Vol. 1).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
- Published
Schoenberg's theorem for real and complex Hilbert spheres revisited
Berg, Christian, Peron, A. P. & Porcu, E., Apr 2018, In: Journal of Approximation Theory. 228, p. 58-78Research output: Contribution to journal › Journal article › Research › peer-review
- 2019
- Published
A two-parameter extension of urbanik’s product convolution semigroup
Berg, Christian, 2019, In: Probability and Mathematical Statistics. 39, 2, p. 441-458 18 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2020
- Published
A Unified View of Space–Time Covariance Functions Through Gelfand Pairs
Berg, Christian, 2020, In: Journal of Fourier Analysis and Applications. 26, 6, 26 p., 90.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Closable Hankel Operators and Moment Problems
Berg, Christian & Szwarc, R., 2020, In: Integral Equations and Operator Theory. 92, 1, 5.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Determinacy versus indeterminacy
Berg, Christian, 2020, In: Snapshots of modern mathematics from Oberwolfach. 2020, 04, 10 p.Research output: Contribution to journal › Journal article › Communication
- Published
Riemanns Zetafunktion
Berg, Christian, 2020, In: Kvant. 31, 1, p. 6-11Research output: Contribution to journal › Journal article › Communication
- 2021
- Published
A Family of Entire Functions Connecting the Bessel Function J1 and the Lambert W Function
Berg, Christian, Massa, E. & Peron, A. P., 2021, In: Constructive Approximation. 53, 4, p. 121–154Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Completely monotonic ratios of basic and ordinary gamma functions
Berg, Christian, Çetinkaya, A. & Karp, D., 2021, In: Aequationes Mathematicae. 95, 3, p. 569-588 20 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Nielsen's beta function and some infinitely divisible distributions
Berg, Christian, Koumandos, S. & Pedersen, Henrik Laurberg, 2021, In: Mathematische Nachrichten. 294, 3, p. 426-449Research output: Contribution to journal › Journal article › Research › peer-review
- 2022
- Published
Self-adjoint operators associated with Hankel moment matrices
Berg, Christian & Szwarc, R., 2022, In: Journal of Functional Analysis. 283, 10, p. 1-29 109674.Research output: Contribution to journal › Journal article › Research › peer-review
- 2023
- Published
A Family of Horn-Bernstein Functions
Berg, Christian & Pedersen, Henrik Laurberg, 2023, In: Experimental Mathematics. 32, 3, p. 505-513Research output: Contribution to journal › Journal article › Research › peer-review
ID: 12150
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Nielsen's beta function and some infinitely divisible distributions
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A Family of Entire Functions Connecting the Bessel Function J1 and the Lambert W Function
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A Unified View of Space–Time Covariance Functions Through Gelfand Pairs
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