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Jan
21
awarded  Yearling
Jan
7
comment a.e. convergence of a piecewise constant function $f_h(t)=\left\lfloor \frac{t}{h} \right\rfloor \cdot h$
The convergence is uniform. Just find a bound for $|t-f_h(t)|$.
Dec
26
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
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Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
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Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
added 8 characters in body
Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
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Dec
25
revised Changing the order of integration in the proof that Laplace maps convolution to multiplication
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Dec
25
asked Changing the order of integration in the proof that Laplace maps convolution to multiplication
Nov
10
comment Convergence of $\sum_{n=0}^{\infty}(-1)^{a_n}$ for non-negative integer $a_n$.
Since the absolute value of the terms is 1, the series does not converge in the "traditional" sense. It may converge if you sum it up in a special way, but there are complications. I would suggest you to look at this wikipedia article en.wikipedia.org/wiki/Summation_of_Grandi%27s_series
Nov
3
comment Does uniform convergence of analytic functions imply pointwise convergence in a bigger domain?
@DanielFischer you are right. Montel's theorem nails it.
Nov
2
revised Does uniform convergence of analytic functions imply pointwise convergence in a bigger domain?
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Nov
2
comment Does uniform convergence of analytic functions imply pointwise convergence in a bigger domain?
By the way, yes, $V$ is connected. I'll add it. Thanks.
Nov
2
comment Does uniform convergence of analytic functions imply pointwise convergence in a bigger domain?
That actually might be possible. I need to check if I get sequential compactness in my setting. However this is one of the questions where one would expect a really simple answer.
Nov
2
asked Does uniform convergence of analytic functions imply pointwise convergence in a bigger domain?
Oct
31
asked Convolution and singularities
Jul
4
comment Singularities of complex functions.
Do you know the definition of a singularity?
Jul
2
awarded  Curious
Apr
27
comment Sum of product of binomial coefficents
I would not be able to see that ever. Thank you very much indeed.
Apr
27
comment Sum of product of binomial coefficents
Just a question, how do you get your first equality? I mean where you split the infinite sum into 2 infinite sums.
Apr
27
comment Sum of product of binomial coefficents
Yes, I forgot to write that $m\le n$. Thank you very much for the answer and for generatingfunctionology, I wasn't aware of its existence.