Remarks on t-transformations of measures and convolutions

Marek Bożejko; Janusz Wysoczański

Annales de l'I.H.P. Probabilités et statistiques (2001)

  • Volume: 37, Issue: 6, page 737-761
  • ISSN: 0246-0203

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Bożejko, Marek, and Wysoczański, Janusz. "Remarks on t-transformations of measures and convolutions." Annales de l'I.H.P. Probabilités et statistiques 37.6 (2001): 737-761. <http://eudml.org/doc/77705>.

@article{Bożejko2001,
author = {Bożejko, Marek, Wysoczański, Janusz},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {position operators; transformations of convolutions; central limit measures; Poisson type limit measures; interacting Fock spaces},
language = {eng},
number = {6},
pages = {737-761},
publisher = {Elsevier},
title = {Remarks on t-transformations of measures and convolutions},
url = {http://eudml.org/doc/77705},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Bożejko, Marek
AU - Wysoczański, Janusz
TI - Remarks on t-transformations of measures and convolutions
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2001
PB - Elsevier
VL - 37
IS - 6
SP - 737
EP - 761
LA - eng
KW - position operators; transformations of convolutions; central limit measures; Poisson type limit measures; interacting Fock spaces
UR - http://eudml.org/doc/77705
ER -

References

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  2. [2] L. Accardi, Y.G. Lu, I. Volovich, Interacting Fock spaces and Hilbert module extensions of the Heisenberg commutation relations, Publications of IIAS (Kyoto), 1997. 
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  7. [7] M. Bożejko, R. Speicher, q-Gaussian process: non-commutative and classical aspects, Comm. Math. Phys.185 (1997) 129-154. Zbl0873.60087MR1463036
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  9. [9] H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc.92 (1959) 336-354. Zbl0092.33503MR109367
  10. [10] R. Lenczewski, Filtered probability I: random variables, limit theorems and fundamental operators, preprint No 16/99, Wrocław University of Technology, 1999. 
  11. [11] R. Lenczewski, Filtered probability II: stochastic calculus on multiple symmetric Fock spaces, preprint No 61/99, Wrocław University of Technology, 1999. 
  12. [12] H. Maassen, Addition of freely independent random variables, J. Funct. Anal.106 (2) (1992) 409-438. Zbl0784.46047MR1165862
  13. [13] R. Speicher, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Ann.298 (1994) 611-628. Zbl0791.06010MR1268597
  14. [14] R. Speicher, R. Woroudi, Boolean convolution, preprint, 1998. Zbl0872.46033MR1426845
  15. [15] Q. Xu, Remarks on interacting Fock spaces, preprint, 1999. MR1811167

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