Probability Theory on Vector Spaces IV Proceedings of a Conference, held in Łańcut, Poland, June 10–17, 1987 / [electronic resource] : edited by Stamatis Cambanis, Aleksander Weron. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1989. - X, 430 p. online resource. - Lecture Notes in Mathematics, 1391 0075-8434 ; . - Lecture Notes in Mathematics, 1391 .

Une forme générale de la loi forte des grands nombres pour des variables aléatoires vectorielles -- On some sufficient conditions for the existence of a consistent test in noncommutative statistics -- Lévy-Kchinchine formula on vector spaces -- A problem on rearrangements of summands in normed spaces and rademacher sums -- An extreme-sum approximation to infinitely divisible laws without a normal component -- An operator approach to processes on Lie groups -- Régularité de fonctions aléatoires Gaussiennes stationnaires à valeurs vectorielles -- L p multipliers in the central limit theorem with p-stable limit -- A universal law of the iterated logarithm for trimmed and censored sums -- On the decomposability group of a convolution semigroup -- Strong laws of large numbers for orthogonal sequences in von Neumann algebras -- Strong laws of large numbers for several contractions in a von Neumann algebra -- Linear supports and absolute continuity of certain random integrals -- Conditional moments for coordinates of stable vectors -- Appendix Multidimensional infinitely divisible variables and processes. Part I: Stable case -- Real translates of complex measures -- Banach space-valued Gleason measures on von Neumann algebras -- On the p-Lévy-Baxter property and its applications -- Notes on infinite dimensional stationary sequences -- Admissible and singular translates of stable processes -- An outline of the integration theory of banach space valued measures -- Norm dependent positive definite functions and measures on vector spaces -- On the convergence of weighted sums of martingale differences -- Density of the norm of translated stable vectors in Banach spaces -- Martingale approach to Boltzmann's entropy and exact transformations -- On the martingale central limit theorem in Banach spaces -- On series expansions of stochastic integrals -- Master equation for quantum oscillator with infinitely divisible noise -- On the convergence of the series ?Kn(Un-U?n) -- On admissible translates of subgaussian stable measures -- An L1 extention of stochastic dynamics for irreversible systems -- Vector valued fourier series and sample continuity of random processes -- Singular integrals and second-order stationary sequences -- On the difference of Gaussian measure of two balls in Hilbert spaces -- Brownian sheets in a locally pseudoconvex metric linear space.

9783540482444

10.1007/BFb0083374 doi


Mathematics.
Global analysis (Mathematics).
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Analysis.

QA273.A1-274.9 QA274-274.9

519.2
The Institute of Mathematical Sciences, Chennai, India

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