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an_ordinary_mathematician
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On a density property of signed singular measures
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On a density property of signed singular measures
@ChristianRemling But is it clear that $ \{ D\mu_+ = \infty \}$ is disjoint from $ \{ D\mu_- = \infty \} $ ?
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On a density property of signed singular measures
@IosifPinelis I have the "Real and complex analysis, International student edition, 1970"
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On a density property of signed singular measures
@Christophe Leuridan : corrected thanks
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On a density property of signed singular measures
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On a density property of signed singular measures
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On a density property of signed singular measures
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What is the current status of research on the von Neumann's inequality for $n \ge 3$?
In this very recent paper arxiv.org/abs/2311.14548 it is proved that the Von Neumann inequality holds up to a constant for three commuting contractions and for all homogeneous polynomials. I think this is pretty much the best known result.
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$\mathscr{H}^{n-2}(\Sigma)< \infty$ implies $\mathscr{H}^{n-1}(\pi(\Sigma))=0$
Do you mind giving the kernel you use for the 2 capacity, I guess you mean Newtonian but just to be sure.
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On the decay of a supersolution of a Sturm Liouville eigenvalue problem
@ChristianRemling Corrected thanks !
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On the decay of a supersolution of a Sturm Liouville eigenvalue problem
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On the decay of a supersolution of a Sturm Liouville eigenvalue problem
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Macroscopic sets - a notion of largeness for Lebesgue null sets
Ok, see, I edited the answer so that it is complete.
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Macroscopic sets - a notion of largeness for Lebesgue null sets
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Macroscopic sets - a notion of largeness for Lebesgue null sets
@WillieWong Could you ellaborate a bit ? I see the other inequality from my argument below, but I do not see that $\alpha \leq r $.
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Macroscopic sets - a notion of largeness for Lebesgue null sets
awarded
 Custodian
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Wold decomposition of toral endomorphisms
You mean that $(A^{-n}\mathbb{Z}^d)_{n\geq 0} $ is an increasing sequence of subgroups of $\mathbb{R}^d$ ?
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Wold decomposition of toral endomorphisms
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weakly separated sequences in RKHS are separated by Gleason metric
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