Christian Berg

Christian Berg

Professor, emeritus

ORCID: 0000-0001-9440-0926

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  1. Published

     L2-approximation with respect to rotation invariant measures

    Berg, Christian, 1993, In: Suppl. Rend. Circ. Mat. Palermo. 33, p. 211-217

    Research output: Contribution to journal › Journal article › Research › peer-review

  2. 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. 127-153

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. Published

    Trekantens Nipunktscirkel

    Berg, Christian, 1993, Matematiske Ideer, en artikelsamling til større skriftlige opgaver. København: Matematiklærerforeningen, p. 26-35

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education

  4. 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

  5. Published

    The smallest eigenvalue of Hankel matrices

    Berg, Christian & Szwarc, R., 2011, In: Constructive Approximation. 34, 1, p. 107-133

    Research output: Contribution to journal › Journal article › Research › peer-review

  6. 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. 2795-2811

    Research output: Contribution to journal › Journal article › Research › peer-review

  7. 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. 11-39

    Research output: Contribution to journal › Journal article › Research › peer-review

  8. 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. 169-209

    Research output: Contribution to journal › Journal article › Research › peer-review

  9. Published

    The Dagum family of isotropic correlation functions

    Berg, Christian, Mateu, J. & Porcu, E., 2008, In: Bernoulli. 14, 4, p. 1134-1149

    Research output: Contribution to journal › Journal article › Research › peer-review

  10. 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

  11. Published

    Symmetric moment problems and a conjecture of Valent

    Berg, Christian & Szwarc, R., 2017, In: Sbornik: Mathematics. 208, 3, p. 335-359

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. Published

    Sur la stabilite de la classe des probabilites "determinees"

    Berg, Christian, 1995, In: Seminaire d'Initiation a l'Analyse (1992-93). 32, p. 1-7

    Research output: Contribution to journal › Journal article › Research › peer-review

  13. 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. 15-45

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  14. Published

    Some transformations of Hausdorff moment sequences and harmonic numbers

    Berg, Christian & Duran, A. J., 2005, In: Canad. J. Math.. 57, p. 941-960

    Research output: Contribution to journal › Journal article › Research › peer-review

  15. Published

    Some classes of completely montonic functions, II

    Alzer, H. & Berg, Christian, 2006, In: Ramanujan Journal. 11, p. 225-248

    Research output: Contribution to journal › Journal article › Research › peer-review

  16. Published

    Some Classes of Completely Monotonic Functions

    Berg, Christian & Alzer, H., 2002, In: Annales Academiae Scientiarum Fennicae. Mathematica. 27, p. 445-460

    Research output: Contribution to journal › Journal article › Research › peer-review

  17. 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

  18. Published

    Small eigenvalues of large Hankel matrices. The indeterminate case

    Berg, Christian, Chen, Y. & Ismail, M. E. H., 2002, In: Mathematica Scandinavica. 91, p. 67-81

    Research output: Contribution to journal › Journal article › Research › peer-review

  19. 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

  20. 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. 58-78

    Research output: Contribution to journal › Journal article › Research › peer-review

  21. Published

    Rotation invariant moment problems

    Berg, Christian & Thill, M., 1991, In: Acta Mathematica. 167, p. 207-227

    Research output: Contribution to journal › Journal article › Research › peer-review

  22. Published

    Riemanns Zetafunktion

    Berg, Christian, 2020, In: Kvant. 31, 1, p. 6-11

    Research output: Contribution to journal › Journal article › Communication

  23. Published

    Recent results about moment problems

    Berg, Christian, 1995, Probability measure on groups and related structures XI Proceedings Oberwolfach 1994. Singapore: World Scientific, p. 1-13

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  24. Published

    Quantum Hilbert matrices and orthogonal polynomials

    Berg, Christian & Andersen, J. E., 2009, In: Journal of Computational and Applied Mathematics. 233, p. 723-729

    Research output: Contribution to journal › Journal article › Research › peer-review

  25. 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

  26. 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. 236-238

    Research output: Contribution to journal › Literature review › Communication

  27. Published

    Pick functions related to the Gamma function

    Berg, Christian & Pedersen, H. L., 2002, In: Rocky Mountain Journal of Mathematics. 32, 2, p. 507-525

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. Published

    Ortogonale polynomier og Hilbertmatricen

    Berg, Christian, 2006, In: Normat - Nordisk Matematisk Tidsskrift. 54, 3, p. 116-133

    Research output: Contribution to journal › Journal article › Research › peer-review

  29. Published

    Orthogonal polynomials, L2-spaces and entire functions

    Berg, Christian & Duran, A. J., 1996, In: Mathematica Scandinavica. 79, p. 209-223

    Research output: Contribution to journal › Journal article › Research › peer-review

  30. Published

    Orthogonal expansions related to compact Gelfand pairs

    Berg, Christian, Peron, A. P. & Porcu, E., 2018, In: Expositiones Mathematicae. 36, 3-4, p. 259-277

    Research output: Contribution to journal › Journal article › Research › peer-review

  31. 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. 54-67

    Research output: Contribution to journal › Journal article › Research › peer-review

  32. Published

    Open problems

    Berg, Christian, 2015, In: Integral Transforms and Special Functions. 26, 2, p. 90-95

    Research output: Contribution to journal › Journal article › Research › peer-review

  33. Published

    On the representability of harmonic funtions as Newtonian potentials

    Berg, Christian & Leutwiler, H., 1993, In: Expo. Math.. 11, p. 369-375

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. Published

    On the order of indeterminate moment problems

    Berg, Christian & Szwarc, R., 2014, In: Advances in Mathematics. 250, p. 105-143

    Research output: Contribution to journal › Journal article › Research › peer-review

  35. 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. 1-11

    Research output: Contribution to journal › Journal article › Research › peer-review

  36. 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. 1043-1055

    Research output: Contribution to journal › Journal article › Research › peer-review

  37. 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

  38. Published

    On some indeterminate moment problems for measures on a geometric progression

    Berg, Christian, 1998, In: J. Comput. Appl. Math.. 99, p. 67-75

    Research output: Contribution to journal › Journal article › Research › peer-review

  39. Published

    On powers on Stieltjes moment sequences, I

    Berg, Christian, 2005, In: Journal of Theoretical Probability. 18, p. 871-889

    Research output: Contribution to journal › Journal article › Research › peer-review

  40. Published

    On powers of Stieltjes moment sequences, II

    Berg, Christian, 2007, In: Journal of Computational and Applied Mathematics. 199, p. 23-38

    Research output: Contribution to journal › Journal article › Research › peer-review

  41. 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. 762-776

    Research output: Contribution to journal › Journal article › Research › peer-review

  42. 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. 251-257

    Research output: Contribution to journal › Journal article › Research › peer-review

  43. Published

    On a conjecture of Clark and Ismail

    Berg, Christian, Alzer, H. & Koumandos, S., 2005, In: Journal of Approximation Theory. 134, p. 102-113

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. Published

    On a Family of Functions Studied by Bhatia and Jain

    Berg, Christian, 2017, In: Experimental Mathematics. 26, 2, p. 241-246

    Research output: Contribution to journal › Journal article › Research › peer-review

  45. 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. 31-41

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  46. Published

    Nielsen's beta function and some infinitely divisible distributions

    Berg, Christian, Koumandos, S. & Pedersen, Henrik Laurberg, 2021, In: Mathematische Nachrichten. 294, 3, p. 426-449

    Research output: Contribution to journal › Journal article › Research › peer-review

  47. 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. 29-43

    Research output: Contribution to journal › Journal article › Research › peer-review

  48. 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. 89-91

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  49. Published

    Nevanlinna Matrices of Entire Functions

    Berg, Christian & Pedersen, H. L., 1995, In: Math. Nachr.. 171, p. 29-52

    Research output: Contribution to journal › Journal article › Research › peer-review

  50. 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. 523-530

    Research output: Contribution to journal › Journal article › Research › peer-review

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