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Nonnegative Smooth Interpolation

Abstract

This dissertation presents three peer-reviewed journal articles, published in "Advances in Mathematics'' and "International Mathematics Research Notices'', on Whitney-type extension and interpolation problems with nonnegative constraint. The mathematical preliminaries and a detailed summary of results are found in Chapter 2. Information on co-authors and funding acknowledgment for each journal article are found at the beginning of their corresponding chapters.

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