Probability Theory on Vector Spaces II: Proceedings, Błażejewko, Poland, September 17 – 23, 1979

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Series: Lecture Notes in Mathematics 828

ISBN: 9780387102535, 0-387-10253-1

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J. Burbea, P. Masani (auth.), A. Weron (eds.)9780387102535, 0-387-10253-1

Proceedings, Blazejewko, Poland, September 17-23, 1979

Table of contents :
Hilbert spaces of Hilbert space valued functions….Pages 1-20
On the integrability of Gaussian random vectors….Pages 21-29
Infinite dimensional newtonian potentials….Pages 30-43
Multiparameter processes and vector-valued processes….Pages 44-46
On geometry of Orlicz spaces….Pages 47-51
The generalized domain of attraction of spherically symmetric stable laws on ℝ d ….Pages 52-81
A class of convolution semi-groups of measures on a Lie group….Pages 82-101
Convergence of two-sample empirical processes….Pages 102-107
V-decomposable measures on hilbert spaces….Pages 108-127
On stability of probability measures in euclidean spaces….Pages 128-145
Fourier-wiener transform on brownian functionals….Pages 146-161
On unconditional convergence of random series in Banach spaces….Pages 162-166
p-Stable measures and p-absolutely summing operators….Pages 167-178
Support and seminorm integrability theorems for r-semistable probability measures on LCTVS….Pages 179-195
Remark on the extrapolation of Banach space valued stationary processes….Pages 196-207
Dilations with operator multipliers….Pages 208-214
On the construction of Wold-Cramér decomposition for bivariate stationary processes….Pages 215-222
Representation of a bounded operator as a finite linear combination of projectors and some inequalities for a functional on B(H)….Pages 223-233
The rates of convergence in the central limit theorem in Banach spaces….Pages 234-243
The generalized anscombe condition and its applications in random limit theorems….Pages 244-250
On moving average representations of Banach-space valued stationary processes over LCA-groups….Pages 251-258
Dilations of reproducing kernels….Pages 259-268
Remarks on pettis integrability of cylindrical processes….Pages 269-273
A probabilitistic characterization of unconditionally summing operators….Pages 274-276
On operator characterization of AM- and AL-spaces….Pages 277-282
On nuclear covariance operators….Pages 283-285
On symmetric stable measures with discrete spectral mlasure on banach spaces….Pages 286-301
A characterization of some probability distributions….Pages 302-308
Banach spaces related to α-stable measures….Pages 309-317
On series representation of second order random elements and stochastic processes….Pages 318-324

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