| 书目名称 | Uniform Spaces and Measures |
| 编辑 | Jan Pachl |
| 视频video | |
| 概述 | Presents a self-contained development of selected topics in the theory of uniform spaces using pseudometrics rather than the more common approach via entourages.Contains exercises and research problem |
| 丛书名称 | Fields Institute Monographs |
| 图书封面 |  |
| 描述 | This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions and notations. Uniform measures are certain functionals on the space of bounded uniformly continuous functions on a uniform space. They are a common generalization of several classes of measures and measure-like functionals studied in abstract and topological measure theory, probability theory, and abstract harmonic analysis. They offer a natural framework for results about topologies on spaces of measures and about the continuity of convolution of measures on topological groups and semitopological semigroups. The book is a reference for the theory of uniform measures. It includes a self-contained development of the theory with complete proofs, starting with the necessary parts of the theory of uniform spaces. It presents diverse results from many sources organized in a logical whole, and |
| 出版日期 | Book 2013 |
| 关键词 | abstract harmonic analysis; semitopological semigroups; topologies on spaces of measures; uniform measu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-5058-0 |
| isbn_softcover | 978-1-4899-9258-1 |
| isbn_ebook | 978-1-4614-5058-0Series ISSN 1069-5273 Series E-ISSN 2194-3079 |
| issn_series | 1069-5273 |
| copyright | Springer Science+Business Media New York 2013 |
发表于 2025-3-21 16:15:51
