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seen Mar 24 at 3:20

Mar
19
comment Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?
@CameronWilliams just curious. How do you justify $\lambda f(t) = \int_0^{\infty} e^{-st}f(s)ds$? Why $f$ then the Laplace transform of $f$ is in the same space. Shouldn't we view one as a distribution?
Feb
26
accepted compactness in the space of analytic functions
Feb
26
comment compactness in the space of analytic functions
Thanks a lot! That is really helpful. I have a couple of questions though. If i choose $D$ is compact and get functions analytic on an open set containing $D$ with finite supremum, will this space work? Do I need a family of $K_n$'s, or I can get the same with just one compact set? And finally, where should I read about these Montel spaces? Do you have any text to suggest?
Feb
25
revised compactness in the space of analytic functions
edited title
Feb
25
asked compactness in the space of analytic functions
Feb
25
accepted Is this map a known one?
Feb
3
revised Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$
corrected arrows
Feb
3
suggested suggested edit on Prove or disprove that $\lim_{n→∞}\sup_{x∈R}⁡f_n (x) =\sup_{x∈R}⁡f(x)$
Feb
3
revised Can the Taylor remainder be bounded from below?
added 14 characters in body
Nov
28
comment convergence of analytic functions
You are right, I checked the bibliography and the requirements are mild. If there exists an integrable function $g:\mathbb{C}\to\mathbb{R}_+$ such that $|f_n(z)|\le g(z)$, then the limit is analytic.
Nov
28
accepted convergence of analytic functions
Nov
28
comment convergence of analytic functions
I am not sure about the order yet, I still need to check that, but of course there are no singular points in $V$.
Nov
28
asked convergence of analytic functions
Nov
11
comment real analysis continuous definition question
Also a function is not open or closed, sets are.
Jun
25
awarded  Tumbleweed
Jun
18
asked Can the Taylor remainder be bounded from below?
May
14
comment Is this map a known one?
Thank you very much. Do you have any introductory book to suggest on the subject. Also as I wrote to my other question, a similar map can be defined between (hyper)spheres instead of projective spaces. Is this also a studied subject?
May
10
comment Is this map a known one?
I asked a new question on the subject here math.stackexchange.com/questions/388046/…
May
10
asked Definition and some elementary properties of the “vector turn map”
May
10
comment Irrational roots don't exist
Look what is the problem here. You do not try to learn, you try to find something to justify your conception. It has been explained to you in every possible way, but you still refuse to see. To your comment. If you try the same construction for -2, then you get the empty set, so there isn't a supremum. On the other hand, for any positive number $r$ there is a set of numbers whose square is less than $r$. Then this set is bounded, so it has a supremum. Nothing cyclic here. Then he proves that this supremum is the square root.