Ebook: Approximation Problems in Analysis and Probability
Author: M.P. Heble (Eds.)
- Genre: Mathematics // Probability
- Series: North-Holland Mathematics Studies 159
- Year: 1989
- Publisher: North Holland
- Language: English
- djvu
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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