書誌事項

Fitting smooth functions to data

Charles Fefferman, Arie Israel

(Regional conference series in mathematics, no. 135)

American Mathematical Society, c2020

  • : [pbk]

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注記

"NSF-CBMS Regional Conference in the Mathematical Sciences on Fitting Smooth Functions to Data held at the University of Texas, Austin, August 5-9, 2019."--T. p. verso

"Applied mathematics"--Cover

Includes bibliographical references (p. 155-158) and index

内容説明・目次

内容説明

This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It 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. The book motivates the more technical aspects of the theory through a set of illustrative examples. The results include the solution of Whitney's problem, an efficient algorithm for a finite version, and analogues for Hoelder and Sobolev spaces in place of C m . The target audience consists of graduate students and junior faculty in mathematics and computer science who are familiar with point set topology, as well as measure and integration theory. The book is based on lectures presented at the CBMS regional workshop held at the University of Texas at Austin in the summer of 2019.

目次

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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