jpv

Hyderabad, India

Feb
10
asked Defining outer measure using finite dimensional cylinder sets
Jan
13
answered About open set in extended real line
Dec
31
comment Integrability of Composition of continuous and Lebesgue integrable functions
Thanks for the nice counter example.
Dec
31
accepted Integrability of Composition of continuous and Lebesgue integrable functions
Dec
31
revised Integrability of Composition of continuous and Lebesgue integrable functions
deleted 6 characters in body
Dec
31
asked Integrability of Composition of continuous and Lebesgue integrable functions
Dec
29
asked Existence and interchange of integrals
Dec
27
comment Measurability of a function based on the slices
I found this: math.stackexchange.com/questions/661087/…
Dec
27
comment Measurability of a function based on the slices
PhoemueX: It would be great if you could provide a proof. The claim can be translated into slices of sets, i.e. if slices in one direction are measurable and continuous in the other then the set is measurable. Ofcourse, measurability here is in the Borel sense. I did not have much luck in pursuing this approach.
Dec
26
comment Measurability of a function based on the slices
It is not clear to me why $X$ is measurable in your example as $X^{-1}(\{1\}) = \{0\}\times A$ which seems to be non-measurable in $\mathbb{R}^2$. The proof of this claim can be found in Loeve (Page 130 - 140) for example.
Dec
26
asked Measurability of a function based on the slices
Dec
17
awarded Caucus
Dec
15
comment Weak Convergence for a specific example
Thanks for the answer.
Dec
15
accepted Weak Convergence for a specific example
Dec
15
comment Weak Convergence for a specific example
To show that $u_v$ converges weakly to $0$.
Dec
14
asked Weak Convergence for a specific example
Sep
4
accepted Number of non-zero co-efficients in a series
Sep
4
comment Number of non-zero co-efficients in a series
Thanks for the nice counter example. The factorial grows faster than any exponential.
Sep
4
asked Number of non-zero co-efficients in a series
Sep
4
comment Laurent Series on the boundary
mrf: It means that for every point on the unit circle, there exists a neighborhood in which the function is Holomorphic.
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