Probability Theory on Vector Spaces IV: Proceedings of a Conference, held in Łańcut, Poland, June 10–17, 1987

Une forme générale de la loi forte des grands nombres pour des variables aléatoires vectorielles....Pages 1-15 On some sufficient conditions for the existence of a consistent test in noncommutative statistics....Pages 16-22 Lévy-Kchinchine formula on vector spaces....Pages 23-32 A problem on rearrangements of summands in normed spaces and rademacher sums....Pages 33-46 An extreme-sum approximation to infinitely divisible laws without a normal component....Pages 47-58 An operator approach to processes on Lie groups....Pages 59-65 Régularité de fonctions aléatoires Gaussiennes stationnaires à valeurs vectorielles....Pages 66-73 L p multipliers in the central limit theorem with p-stable limit....Pages 74-81 A universal law of the iterated logarithm for trimmed and censored sums....Pages 82-98 On the decomposability group of a convolution semigroup....Pages 99-111 Strong laws of large numbers for orthogonal sequences in von Neumann algebras....Pages 112-124 Strong laws of large numbers for several contractions in a von Neumann algebra....Pages 125-139 Linear supports and absolute continuity of certain random integrals....Pages 140-147 Conditional moments for coordinates of stable vectors....Pages 148-152 Appendix Multidimensional infinitely divisible variables and processes. Part I: Stable case....Pages 153-163 Real translates of complex measures....Pages 164-177 Banach space-valued Gleason measures on von Neumann algebras....Pages 178-190 On the p-Lévy-Baxter property and its applications....Pages 191-199 Notes on infinite dimensional stationary sequences....Pages 200-238 Admissible and singular translates of stable processes....Pages 239-257 An outline of the integration theory of banach space valued measures....Pages 258-283 Norm dependent positive definite functions and measures on vector spaces....Pages 284-292 On the convergence of weighted sums of martingale differences....Pages 293-307 Density of the norm of translated stable vectors in Banach spaces....Pages 308-320 Martingale approach to Boltzmann's entropy and exact transformations....Pages 321-328 On the martingale central limit theorem in Banach spaces....Pages 329-336 On series expansions of stochastic integrals....Pages 337-352 Master equation for quantum oscillator with infinitely divisible noise....Pages 353-358 On the convergence of the series ΣK n (U n -U −n )....Pages 359-364 On admissible translates of subgaussian stable measures....Pages 365-366 An L 1 extention of stochastic dynamics for irreversible systems....Pages 367-374 Vector valued fourier series and sample continuity of random processes....Pages 375-387 Singular integrals and second-order stationary sequences....Pages 388-400 On the difference of Gaussian measure of two balls in Hilbert spaces....Pages 401-405 Brownian sheets in a locally pseudoconvex metric linear space....Pages 406-424