Symmetric Hilbert spaces and related topics : infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes

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Symmetric Hilbert spaces and related topics : infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes

Alain Guichardet

(Lecture notes in mathematics, 261)

Springer-Verlag, 1972

  • : gw.
  • : u.s.

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Note

Bibliography: p. [194]-197

Description and Table of Contents

Table of Contents

The symmetric measure space of a measure space.- The symmetric Hilbert space of a Hilbert space.- Positive definite functions of type (S).- Conditionally positive definite functions and infinitely divisible positive definite functions.- Boolean algebras of tensor decompositions of a Hilbert space.- Factorizable positive definite functions on current groups.- Gaussian measures on topological vector spaces.- Continuous products.

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