@article{AIHPB_2006__42_5_553_0, author = {Kwapie\'n, Stanis{\l}aw and Marcus, Michael B. and Rosi\'nski, Jan}, title = {Two results on continuity and boundedness of stochastic convolutions}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {553--566}, publisher = {Elsevier}, volume = {42}, number = {5}, year = {2006}, doi = {10.1016/j.anihpb.2005.06.003}, zbl = {1106.60040}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2005.06.003/} }
TY - JOUR AU - Kwapień, Stanisław AU - Marcus, Michael B. AU - Rosiński, Jan TI - Two results on continuity and boundedness of stochastic convolutions JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2006 SP - 553 EP - 566 VL - 42 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2005.06.003/ DO - 10.1016/j.anihpb.2005.06.003 LA - en ID - AIHPB_2006__42_5_553_0 ER -
%0 Journal Article %A Kwapień, Stanisław %A Marcus, Michael B. %A Rosiński, Jan %T Two results on continuity and boundedness of stochastic convolutions %J Annales de l'I.H.P. Probabilités et statistiques %D 2006 %P 553-566 %V 42 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2005.06.003/ %R 10.1016/j.anihpb.2005.06.003 %G en %F AIHPB_2006__42_5_553_0
Kwapień, Stanisław; Marcus, Michael B.; Rosiński, Jan. Two results on continuity and boundedness of stochastic convolutions. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 5, pp. 553-566. doi : 10.1016/j.anihpb.2005.06.003. http://www.numdam.org/articles/10.1016/j.anihpb.2005.06.003/
[1] Continuity of stochastic convolutions, Czechoslovak Math. J. 51 (2001) 679-684. | MR | Zbl
, , ,[2] Stochastic Equations in Infinite Dimensions, Encyclopedia Math. Appl., vol. 45, Cambridge Univ. Press, Cambridge, 1992. | MR | Zbl
, ,[3] Exponential moments of vector valued random series and triangular arrays, Ann. Probab. 8 (1980) 381-389. | MR | Zbl
,[4] Vector Integration and Stochastic Integration in Banach Spaces, Willey & Sons, Inc., 2000. | MR | Zbl
,[5] Stochastic Processes, J. Willey & Sons, Inc., Chapman & Hall, New York, Londres, 1953. | MR | Zbl
,[6] Covariation de convolution de martingales, C. R. Acad. Sci. Paris Sér. I Math. 326 (5) (1998) 601-606. | MR | Zbl
, ,[7] Continuité et théorème central limite pour les transformées de Fourier des mesures aléatoires du second ordre, Wahr. Verw. Gebiete 42 (1978) 57-66. | MR | Zbl
,[8] X. Fernique, Fonctions aléatoires gaussiennes, vecteurs aléatoires gaussiens, Université de Montréal, Centre de Recherches Mathématiques, Montreal, 1997. | MR
[9] Bond pricing and the term structure of interest rate: a new methodology for contingent claim valuation, Econometrica 60 (1992) 77-105. | Zbl
, , ,[10] Continuity of subgaussian processes, in: Probability on Banach Spaces, Adv. Probab., vol. 4, Marcel Dekker, New York, 1978, pp. 81-196. | MR
, ,[11] Some Random Series of Functions, Cambridge Univ. Press, Cambridge, 1985. | MR | Zbl
,[12] Probability in Banach Spaces. Isoperimetry and Processes, Springer-Verlag, New York, 1991. | MR | Zbl
, ,[13] Gaussian lacunary series and the modulus of continuity for Gaussian processes, Z. Wahr. Verw. Gebiete 22 (1972) 301-322. | MR | Zbl
,[14] Random Fourier Series with Applications to Harmonic Analysis, Princeton Univ. Press, 1981. | MR | Zbl
, ,[15] Continuity and boundedness of infinitely divisible processes: a Poisson point process approach, J. Theoret. Probab. 18 (2005) 109-160. | MR | Zbl
, ,[16] A remarkable homogeneous Banach algebra, Israel J. Math. 34 (1979) 38-44. | MR | Zbl
,[17] Stochastic Integration and Differential Equations, Springer-Verlag, New York, 1990. | MR | Zbl
,[18] On path properties of certain infinitely divisible processes, Stochastic Process. Appl. 33 (1989) 73-87. | MR | Zbl
,[19] Series representations of Lévy processes from the perspective of point processes, in: , , (Eds.), Lévy Processes - Theory and Applications, Birkhäuser, Boston, 2001, pp. 401-415. | MR | Zbl
,[20] Symmetrization and concentration inequalities for multilinear forms with applications to zero-one laws for Lévy chaos, Ann. Probab. 24 (1996) 422-437. | MR | Zbl
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