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Cramer's decomposition theorem within the continuation of distribution functions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1233)

Abstract

Continuing the papers [5] and [9] the author derives variants of Cramér's theorem which result if the corresponding integral equation is assumed to be valid only on a half line. The method is elementary the main tools being the simple but important lemmas of the Phragmén-Lindelöf theory. The method permits also to treat Linnik's factorization theorem.

Keywords

  • Integral Equation
  • Factorization Theorem
  • Bution Function
  • Half Line
  • Supplement Issue

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References

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© 1987 Springer-Verlag

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Rossberg, HJ. (1987). Cramer's decomposition theorem within the continuation of distribution functions. In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072720

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  • DOI: https://doi.org/10.1007/BFb0072720

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

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