![hausdorff dimension subshift angle doubling hausdorff dimension subshift angle doubling](https://www.spie.org/images/Graphics/Newsroom/Imported-2016/006610/006610_10_fig1.jpg)
We present bijective and isomorphic versions of the solution (Theorems 1 and 2 of paragraph 2.5). To do this, we use the family of metasemicontinuous functions with compact support and the class of thin functionals. In this paper we give a possible solution of the problem of general Radon representation. For bounded Radon measures on a Tychonoff space, the problem of isomorphic Radon representation was solved in 1956 by Prokhorov. In the early 1950s, a partial solution of this problem (the bijective version) for locally compact spaces was obtained by Halmos, Hewitt, Edwards, Bourbaki and others. Lomonosov Moscow State University, Moscow (Russian Federation)Īfter the fundamental work of Riesz, Radon and Hausdorff in the period 1909-1914, the following problem of general Radon representation emerged: for any Hausdorff space find the space of linear functionals that are integrally representable by Radon measures. Zakharov, V K [St Petersburg State University of Technology and Design (Russian Federation) Mikhalev, A V [M.V. To get the isomorphic version, we introduce the family of Radon bimeasures.Įnergy Technology Data Exchange (ETDEWEB) We present bijective and isomorphic versions of the solution (Theorems 1 and 2 of §2.5).
![hausdorff dimension subshift angle doubling hausdorff dimension subshift angle doubling](http://www.smcduct.com/wp-content/uploads/2016/06/c-dwr_rcc.gif)
The problem of general Radon representation for an arbitrary Hausdorff spaceĪfter the fundamental work of Riesz, Radon and Hausdorff in the period 1909-1914, the following problem of general Radon representation emerged: for any Hausdorff space find the space of linear functionals that are integrally representable by Radon measures.