A characterization of the weak convergence of convolution powers

Jan Rataj

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 1, page 48-60
  • ISSN: 0528-2195

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Rataj, Jan. "A characterization of the weak convergence of convolution powers." Časopis pro pěstování matematiky 115.1 (1990): 48-60. <http://eudml.org/doc/19547>.

@article{Rataj1990,
author = {Rataj, Jan},
journal = {Časopis pro pěstování matematiky},
keywords = {Gaussian transforms; Gaussian seminorms; weak convergence of a sequence of convolution powers; infinitely divisible probability measures; Doob's inequality; Fourier semi-norms; convolution method},
language = {eng},
number = {1},
pages = {48-60},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A characterization of the weak convergence of convolution powers},
url = {http://eudml.org/doc/19547},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Rataj, Jan
TI - A characterization of the weak convergence of convolution powers
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 1
SP - 48
EP - 60
LA - eng
KW - Gaussian transforms; Gaussian seminorms; weak convergence of a sequence of convolution powers; infinitely divisible probability measures; Doob's inequality; Fourier semi-norms; convolution method
UR - http://eudml.org/doc/19547
ER -

References

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  1. L. V. Ahlfors, Complex Analysis. Introduction to the Theory of Analytic Functions of One Complex Variable, McGraw-Hill, New York, 1953. (1953) Zbl0052.07002MR0054016
  2. H. Bergström, Limit Theorems for Convolutions, John Wiley Inc, New York, 1963. (1963) Zbl0115.10303MR0161363
  3. H. Bergström, Weak Convergence of Measures, Academic Press, New Yoгk, 1982. (1982) Zbl0538.28003MR0690579
  4. S. C. Chow H. Teicher, Probability Theoгy, Ѕpringer-Verlag, New York, 1978. (1978) 
  5. F. J. Dyson, Fourier Transforms of Distribution Functions, Canad. Jouг. of Math. 5 (1953), 554-558. (1953) Zbl0051.08401MR0057362
  6. A. Lešanovský, A note on Gaussian and Fourier seminorms, (To appeaг in Časopis pӗst. mat.) Zbl0713.60036
  7. E. Lukacs, Characteristic Functions, Ѕecond edition, Griffin, London, 1970. (1970) Zbl0201.20404MR0346874
  8. J. Ratay F. Zítek, Ѕur lа norme de Ғourier, III, Čаsopis pěst. mаt. 112 (1987), 312-313. (1987) 
  9. F. Zítek, Ѕur lа norme de Ғourier, Čаsopis pӗst. mаt. 93 (1968), 349 -З5З. (1968) 
  10. F. Zítek, Ѕur lа norme de Ғourier, II, Čаsopis pӗst. mаt. 95 (1970), 62-65. (1970) MR0288561

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