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Approximation problems in analysis and probability

Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co, 1989.
Series: North-Holland mathematics studies, 159
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
ISBN: 9780444880215 0444880216
OCLC Number: 731740314
Description: 1 online resource (Online-Datei.).
Series Title: North-Holland mathematics studies, 159
Responsibility: M.P. Heble.

Abstract:

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.

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