Description

Book Synopsis
An introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. The book provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory.

Table of Contents
  • Overview
  • Whitney's Extension Theorem
  • $C^m$ Interpolation for Finite Data
  • The Classical Whitney Extension Problem
  • Extension and Interpolation in Sobolev Spaces
  • Vector-Valued Functions
  • Open Problems
  • Bibliography
  • Index.

    Fitting Smooth Functions to Data

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      A Paperback by Charles Fefferman, Arie Israel

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        Book details

        Publisher American Mathematical Society
        Published 1/30/2021 12:00:00 AM
        ISBN-13 9781470461300
        978-1470461300
        ISBN-10 1470461307

        Description

        Book Synopsis
        An introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. The book provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory.

        Table of Contents
        • Overview
        • Whitney's Extension Theorem
        • $C^m$ Interpolation for Finite Data
        • The Classical Whitney Extension Problem
        • Extension and Interpolation in Sobolev Spaces
        • Vector-Valued Functions
        • Open Problems
        • Bibliography
        • Index.

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