Arkiv för Matematik

On the order and type of the entire functions associated with an indeterminate Hamburger moment problem

Christian Berg and Henrik L. Pedersen

Full-text: Open access

Article information

Source
Ark. Mat., Volume 32, Number 1 (1994), 1-11.

Dates
Received: 5 October 1992
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485898267

Digital Object Identifier
doi:10.1007/BF02559520

Mathematical Reviews number (MathSciNet)
MR1277917

Zentralblatt MATH identifier
0805.30022

Rights
1994 © Institut Mittag-Leffler

Citation

Berg, Christian; Pedersen, Henrik L. On the order and type of the entire functions associated with an indeterminate Hamburger moment problem. Ark. Mat. 32 (1994), no. 1, 1--11. doi:10.1007/BF02559520. https://projecteuclid.org/euclid.afm/1485898267


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References

  • Akhiezer, N. I., The Classical Moment Problem, Oliver and Boyd, Edinburgh, 1965.
  • Aupetit, B., A Primer on Spectral Theory, Springer-Verlag, New York, 1991.
  • Berg, C. and Valent, G. The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes, to appear in Methods and Applications of Analysis.
  • Boas, R. P., Entire Functions, Academic Press, New York, 1954.
  • Koosis P., The Logarithmic Integral I, Cambridge University Press, Cambridge, 1988.
  • Markushevich, A. I., Theory of Functions of a Complex Variable II, Chelsea Publishing Company, New York, 1965.
  • Pedersen, H. L., The Nevanlinna matrix of entire functions associated with a shifted indeterminate Hamburger moment problem, to appear in Math. Scand. 74 (1994).
  • Riesz, M., Sur le problème des moments, Troisième Note, Ark. för mat., astr. och fys. 17 (16) (1923).