Infinite-dimensional non-gaussian analysis and generalized translation operators
Copyright policy )Infinite-dimensional non-gaussian analysis and generalized translation operators
The author considers a family \(T= \{T_x\}_{x\in Q}\) of ``generalized translation operators'' on \(C(Q)\), \(Q\) being a separable complete metric space, and defines characters for such a family. Then he constructs non-Gaussian analogues of the Fock spaces for measures on \(Q\) and gives examples.
characters, non-Gaussian analogues of the Fock spaces, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), generalized translation operators, Linear operators on function spaces (general), Measures and integration on abstract linear spaces, Applications of operator theory in probability theory and statistics, Applications of functional analysis in probability theory and statistics
characters, non-Gaussian analogues of the Fock spaces, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), generalized translation operators, Linear operators on function spaces (general), Measures and integration on abstract linear spaces, Applications of operator theory in probability theory and statistics, Applications of functional analysis in probability theory and statistics
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