Approximation Problems in Analysis and Probability: Volume 159

by M.P. Heble

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.

• Format: Hardcover
• Language: English
• ISBN: 0444880216
• ISBN13: 9780444880215
• Release Date: January 1989
• Publisher: North-Holland
• Length: 244 Pages