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Approximation Problems in Analysis and Probability
M.P. Heble
出版Elsevier, 2011-08-18
主題Mathematics / Mathematical Analysis
ISBN00808727009780080872704
URLhttp://books.google.com.hk/books?id=hfs9HvdmBagC&hl=&source=gbs_api
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註釋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.