Approximation problems in analysis and probability [E-Book] / M.P. Heble.
Heble, M. P.
Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; 1989
Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (xi, 245 p.)
North-Holland mathematics studies ; 159
Full Text
This is an exposition of some special results on analytic or C & infin;-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 & infin;-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.