Expansions of vectors in a Banach space related to Gaussian measures.
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- by J. Kuelbs PDF
- Proc. Amer. Math. Soc. 27 (1971), 364-370 Request permission
Abstract:
We study norm convergent expansions of vectors in a Banach space $B$ related to a Gaussian measure on $B$, and as a corollary obtain the convergence in supremum norm of the partial sums of the Karhunen-Loève expansion of a Gaussian process having continuous sample paths.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 364-370
- MSC: Primary 60.08; Secondary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0267615-7
- MathSciNet review: 0267615