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Mathematics 2017, 5(3), 44; doi:10.3390/math5030044

Topics of Measure Theory on Infinite Dimensional Spaces

Faculdade de Ciências, Universidade da Beira Interior, Rua Marquês d’Ávila e Bolama, 6201-001 Covilhã, Portugal
Received: 20 June 2017 / Revised: 21 August 2017 / Accepted: 22 August 2017 / Published: 29 August 2017
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Abstract

This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure. View Full-Text
Keywords: measure; infinite dimensional space; nuclear space; projective limit measure; infinite dimensional space; nuclear space; projective limit
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Velhinho, J. Topics of Measure Theory on Infinite Dimensional Spaces. Mathematics 2017, 5, 44.

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