Lectures on Choquet’s Theorem (Lecture Notes in Mathematics, 1757) 2nd Edition by Robert R. Phelps | (PDF) Free Download

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A well written, readable and easily accessible introduction to “Choquet theory”, which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.

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⭐学部卒業論文で恩師から勧められたプレプリントをコピーして読んだphelpsのペイパーバックです。その後の発展はいろいろありますが、これが原点であり、いまでも新たな感動を与えてやみません。研究者から離れていますが、自分自身の数学を進めるうえでいつも勇気ずけられる１冊です。

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