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Invariant Measures -  American Mathematical Society

Invariant Measures

Buch | Softcover
1999
American Mathematical Society (Verlag)
978-0-8218-0912-9 (ISBN)
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In 1940-1941 von Neumann lectured on invariant measures at the Institute for Advanced Study at Princeton. This book presents a written version of those lectures. It begins with general measure theory and goes on to Haar measure and some of its generalizations.
In 1940-1941 von Neumann lectured on invariant measures at the Institute for Advanced Study at Princeton. This book is essentially a written version of those lectures. The lectures began with general measure theory and went on to Haar measure and some of its generalizations. Shizuo Kakutani was at the Institute that year, and he and von Neumann had many conversations on the subject. The conversations revealed facts and produced proofs. Quite a bit of the content of the course, especially toward the end, was discovered a few weeks before it appeared on the blackboard. The original version of these notes was prepared by Paul Halmos, von Neumann's assistant that year. Von Neumann read the handwritten version before it went to the typist and sometimes scribbled comments on the margins; he rewrote most of Chapter 6. This book is the first published version of the original notes.

Measure theory Generalized limits Haar measure Uniqueness Measure and topology Construction of Haar's invariant measure in groups by approximately equidistributed finite point sets and explicit evaluations of approximations.

Erscheint lt. Verlag 1.8.1999
Zusatzinfo index
Verlagsort Providence
Sprache englisch
Gewicht 280 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-8218-0912-1 / 0821809121
ISBN-13 978-0-8218-0912-9 / 9780821809129
Zustand Neuware
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