Approximation Problems In Analysis And Probability (north-holland Mathematics Studies)

Approximation Problems In Analysis And Probability (north-holland Mathematics Studies)
by M.P. Heble / / / PDF


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This is an exposition of some special results on analytic or C?-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C?-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.

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