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On gaussian measures and the central limit theorem in certain f-spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 656)

Abstract

We present some new results concerning Gaussian measures on F-spaces with an absolute basis and apply these results to obtain a Central Limit Theorem for probability measures on arbitrary separable F-spaces.

Keywords

  • Probability Measure
  • Central Limit Theorem
  • Sequence Space
  • Random Element
  • Gaussian Measure

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References

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© 1978 Springer-Verlag

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Helm, W.E. (1978). On gaussian measures and the central limit theorem in certain f-spaces. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068811

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  • DOI: https://doi.org/10.1007/BFb0068811

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive