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Results tagged with fa.functional-analysis
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user 41900
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
Conditional probabilities are measurable functions - when are they continuous?
Tue Tjur studied the existence of continuous disintegrations in a 1975 preprint "A Constructive Definition of Conditional Distributions," Issue 13, Copenhagen Universitet. He gives necessary and suff …
- 311
5
votes
2
answers
422
views
Does the truncated Hausdorff moment problem admit absolutely continuous solutions?
Let $\mu$ be a (Borel) probability measure on $[0,1]$ and define $m_j(\mu) = \int x^j\,\mu(dx)$. Let $k$ be a positive integer and consider the set $\mathcal C_{\mu,k}$ of probability measures $\nu$ o …
- 311
9
votes
Disintegrations are measurable measures - when are they continuous?
Tue Tjur studied the existence of continuous disintegrations in a 1975 preprint "A Constructive Definition of Conditional Distributions," Issue 13, Copenhagen Universitet. He gives necessary and suff …
- 311