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Infinite sums of an analytic function
Let $f$ be a complex valued analytic function on $\mathbb C$ and assume that $\sum_n \lvert a_n\rvert=\infty$. Is there any chance that $f$ can be represented as a pointwise limit of sums $\sum_n a_n\cdot u_{n}$?
A:
No. For example, consider
$
f(z) = z\sum_{n=0}^\infty n! z^n
$
The series converges pointwise for $|z|, what was the pre-existing state of that air cargo line between Yerevan and Sofia? I don’t know. But to me, this report indicates that the ‘state’ of the air cargo line between the two countries has greatly improved in the two years since the Deep Blue fire.
I do not know if this is the case in the case of the domestic aviation market, but this is what the Union of Industrialists of Armenia stated:
“What we see in Armenia is that the aviation market is growing. And we see that the number of passengers is growing. It is also better that we will have the first domestic flight to Sochi, to Yerevan, to Batumi. I am very glad for that. But the number of passengers is growing. It is already 16.2 million.
“That is fantastic, that number is fantastic. But we are missing four million passengers. We are missing so much capacity, we are missing opportunities. But it is a matter of restructuring. Not long ago, the Government announced that they were going to build a new airport in Yerevan. They will build it in four years. That means that the runway will be ready by 2022.
“If that is done, and if the country needs a modern airport in Y 0b46394aab
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