Approximation Problems In Analysis And Probability (north-holland Mathematics Studies)
by M.P. Heble /
1989 / English / PDF
9.5 MB Download
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.