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Substable and pseudo-isotropic processes. Connections with the geometry of subspaces of \(L_\alpha\)-spaces. (English) Zbl 0948.46013

A detailed study of spherically (or, more generally, elliptically) isotropic measures in linear spaces. The author uses a probabilistic language. Applications to geometry of linear spaces and stochastic processes are given. A number of remarkable generalizations of known results belongs to the author.
References: 249 titles (!). An index is provided.

MSC:

46B20 Geometry and structure of normed linear spaces
60B11 Probability theory on linear topological spaces
60G07 General theory of stochastic processes
46G12 Measures and integration on abstract linear spaces
60E07 Infinitely divisible distributions; stable distributions
60K99 Special processes
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