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Results tagged with fa.functional-analysis
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user 47295
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
6
votes
2
answers
611
views
If Gaussian measures on a Hilbert space converge weakly to 0, how do their covariance operat...
Suppose we have a sequence of Gaussian measures $N(0, S(n))$ supported on a Hilbert space $H$ and we know that the sequence converges weakly to the delta measure at $0$, what are the necessary and suf …
- 93
3
votes
0
answers
318
views
Equivalence of Gaussian measures on Hilbert space
Suppose we have 2 nondegenerate Gaussian measures given by N(0,T) and N(0,S) supported on a separable Hilbert space H. T and S are such that eigenbasis of S lies in the cameron martin space of N(0,T) …
- 93