
Fitting Smooth Functions to Data
American Mathematical Society (Publisher)
Published on 30. January 2021
Book
Paperback/Softback
160 pages
978-1-4704-6130-0 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
315 gr
ISBN-13
978-1-4704-6130-0 (9781470461300)
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Schweitzer Classification
Persons
Charles Fefferman, Princeton University, NJ, and Arie Israel, University of Texas at Austin, TX
Content
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.
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.