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

Jean-Christian Alt (auth.), Stamatis Cambanis, Aleksander Weron (eds.)9780387515489, 0-387-51548-8

Table of contents :
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