| 书目名称 | Radon Integrals | | 副标题 | An abstract approach | | 编辑 | Bernd Anger,Claude Portenier | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | In topological measure theory, Radon measures are the most important objects. In the context of locally compact spaces, there are two equivalent canonical definitions. As a set function, a Radon measure is an inner compact regular Borel measure, finite on compact sets. As a functional, it is simply a positive linear form, defined on the vector lattice of continuous real-valued functions with compact support. During the last few decades, in particular because of the developments of modem probability theory and mathematical physics, attention has been focussed on measures on general topological spaces which are no longer locally compact, e.g. spaces of continuous functions or Schwartz distributions. For a Radon measure on an arbitrary Hausdorff space, essentially three equivalent definitions have been proposed: As a set function, it was defined by L. Schwartz as an inner compact regular Borel measure which is locally bounded. G. Choquet considered it as a strongly additive right continuous content on the lattice of compact subsets. Following P.A. Meyer, N. Bourbaki defined a Radon measure as a locally uniformly bounded family of compatible positive linear forms, each defined on the v | | 出版日期 | Book 1992 | | 关键词 | distribution; integral; integration; measure; measure theory; stability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0377-3 | | isbn_softcover | 978-1-4612-6733-1 | | isbn_ebook | 978-1-4612-0377-3Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Science+Business Media New York 1992 |
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发表于 2025-3-21 18:00:09
