@article{AIHPB_2001__37_6_737_0,
author = {Bo\.zejko, Marek and Wysocza\'nski, Janusz},
title = {Remarks on $t$-transformations of measures and convolutions},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {737--761},
year = {2001},
publisher = {Elsevier},
volume = {37},
number = {6},
zbl = {0995.60004},
language = {en},
url = {https://www.numdam.org/item/AIHPB_2001__37_6_737_0/}
}
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 SP - 737 EP - 761 VL - 37 IS - 6 PB - Elsevier UR - https://www.numdam.org/item/AIHPB_2001__37_6_737_0/ LA - en ID - AIHPB_2001__37_6_737_0 ER -
%0 Journal Article %A Bożejko, Marek %A Wysoczański, Janusz %T Remarks on $t$-transformations of measures and convolutions %J Annales de l'I.H.P. Probabilités et statistiques %D 2001 %P 737-761 %V 37 %N 6 %I Elsevier %U https://www.numdam.org/item/AIHPB_2001__37_6_737_0/ %G en %F AIHPB_2001__37_6_737_0
Bożejko, Marek; Wysoczański, Janusz. Remarks on $t$-transformations of measures and convolutions. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 6, pp. 737-761. https://www.numdam.org/item/AIHPB_2001__37_6_737_0/
[1] , , Interacting Fock spaces and gaussianization of probability measures, IDAQPRT 1 (4) (1998) 663-670. | Zbl | MR
[2] , , , Interacting Fock spaces and Hilbert module extensions of the Heisenberg commutation relations, Publications of IIAS (Kyoto), 1997.
[3] , The Classical Moment Problem, Oliver and Boyd, London, 1965. | Zbl
[4] , , Theory of Linear Operators in Hilbert Space, Ungar, New York, 1963. | Zbl
[5] , , , Convolution and limit theorems for conditionally free random variables, Pacific J. Math. 175 (2) (1996) 357-388. | Zbl | MR
[6] , , Interpolation between bosonic and fermionic relations given by generalized Brownian motions, Math. Z. 222 (1996) 135-160. | Zbl | MR
[7] , , q-Gaussian process: non-commutative and classical aspects, Comm. Math. Phys. 185 (1997) 129-154. | Zbl | MR
[8] , , New examples of convolutions and non-commutative central limit theorems, Banach Center Publ. 43 (1998) 95-103. | Zbl | MR
[9] , Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959) 336-354. | Zbl | MR
[10] , Filtered probability I: random variables, limit theorems and fundamental operators, preprint No 16/99, Wrocław University of Technology, 1999.
[11] , Filtered probability II: stochastic calculus on multiple symmetric Fock spaces, preprint No 61/99, Wrocław University of Technology, 1999.
[12] , Addition of freely independent random variables, J. Funct. Anal. 106 (2) (1992) 409-438. | Zbl | MR
[13] , Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Ann. 298 (1994) 611-628. | Zbl | MR
[14] , , Boolean convolution, preprint, 1998. | MR
[15] , Remarks on interacting Fock spaces, preprint, 1999. | MR






