Symmetric Hilbert Spaces and Related Topics
Alain Guichardet
Broschiertes Buch

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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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.