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Reverse type $1-1$ inequality

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#real-analysis #measure-theory #lebesgue-measure #harmonic-analysis #singular-measures
603
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An example of a a convolution of singular distribution and a Gaussian distribution that has a 'simple' pdf

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#probability-theory #convolution #singular-measures
385
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property of singular measure with respect to Lebesgue measure

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#real-analysis #lebesgue-measure #singular-measures
116
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Singular function that is Holder for all $\alpha<1$

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#measure-theory #cantor-set #holder-spaces #singular-measures
124
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Singular continuous

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#probability #probability-theory #measure-theory #absolute-continuity #singular-measures
137
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Singular bivariate distributions

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#probability-theory #probability-distributions #singular-integrals #singular-measures
67
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Does the Lebesgue measure on the segment $y=x$ represent this distribution?

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#real-analysis #measure-theory #distribution-theory #geometric-measure-theory #singular-measures
191
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Support of a Measure (Singular to Lebesgue)

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#real-analysis #measure-theory #harmonic-analysis #singular-measures
114
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Singular Borel measures that are regular and the quotient of it's derivative over itself.

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#proof-verification #lebesgue-measure #radon-nikodym #singular-measures
1.6k
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How we compute expectation of a singular random variable?

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#probability-theory #reference-request #singular-measures
187
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Two Radon measures and mutual singularity

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#measure-theory #geometric-measure-theory #singular-measures
1.1k
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Do there exist two singular measures whose convolution is absolutely continuous?

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#real-analysis #functional-analysis #measure-theory #singular-measures
117
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Representations and mutually singular measures

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#representation-theory #spectral-theory #singular-measures
680
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Singular Lebesgue-Stieltjes measure

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#measure-theory #lebesgue-measure #singular-measures
293
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Consider two singular measures $ m$ and $v$ and $v$ is absolutely continuous with respect to $m$ show that $v=0$

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#measure-theory #singular-measures

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