Ergodic theory / Karl Petersen

Auteur: Petersen, Karl Endel (1943-) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 2Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 1983Description: 1 vol. (XI-329 p.) : fig. ; 24 cm ISBN: 9780521389976 ; rel. Note: This book is one of several on ergodic theory which have appeared in the past few years. It is a well-written treatment of basic ergodic theory with further development in several areas which are presently actively researched. One nice feature of the book is a development of the method of maximal functions and its use in treating the ergodic Hilbert transform, proving the pointwise ergodic theorem, Lebesgue's differentiation theorem, and Wiener's local ergodic theorem. Two other nice features are the introduction of almost periodicity and its application in constructing eigenfunctions for nonweakly mixing ergodic transformations, and the Jewett-Bellow-Furstenberg proof of Krieger's theorem on the representation of ergodic measure-preserving transformations. (MathSciNet)Bibliographie: Bibliogr. p. [302]-321. Index. Sujets MSC: 28Dxx Measure and integration -- Measure-theoretic ergodic theory
28-01 Measure and integration -- Instructional exposition (textbooks, tutorial papers, etc.)
54H20 General topology -- Connections with other structures, applications -- Topological dynamics
En-ligne: MathSciNet
Location Call Number Status Date Due
Salle R 08572-01 / 28 PET (Browse Shelf) Available

This book is one of several on ergodic theory which have appeared in the past few years. It is a well-written treatment of basic ergodic theory with further development in several areas which are presently actively researched.
One nice feature of the book is a development of the method of maximal functions and its use in treating the ergodic Hilbert transform, proving the pointwise ergodic theorem, Lebesgue's differentiation theorem, and Wiener's local ergodic theorem. Two other nice features are the introduction of almost periodicity and its application in constructing eigenfunctions for nonweakly mixing ergodic transformations, and the Jewett-Bellow-Furstenberg proof of Krieger's theorem on the representation of ergodic measure-preserving transformations. (MathSciNet)

Bibliogr. p. [302]-321. Index

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