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OverviewThis 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 Hölder 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. Full Product DetailsAuthor: Charles Fefferman , Arie Israel , Conference Board Of The Mathematical SciencesPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.315kg ISBN: 9781470461300ISBN 10: 1470461307 Pages: 160 Publication Date: 30 January 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsOverview 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.ReviewsAuthor InformationCharles Fefferman, Princeton University, NJ, and Arie Israel, University of Texas at Austin, TX Tab Content 6Author Website:Countries AvailableAll regions |
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