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Topics of Measure Theory on Infinite Dimensional Spaces

Author

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  • José Velhinho

    (Faculdade de Ciências, Universidade da Beira Interior, Rua Marquês d’Ávila e Bolama, 6201-001 Covilhã, Portugal)

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.

Suggested Citation

  • José Velhinho, 2017. "Topics of Measure Theory on Infinite Dimensional Spaces," Mathematics, MDPI, vol. 5(3), pages 1-25, August.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:3:p:44-:d:110217
    as

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    References listed on IDEAS

    as
    1. José Velhinho, 2015. "Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-12, October.
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