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  • 0 posts edited
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  • 16 votes cast
May
8
comment Validity of Series definition
what is $\phi$, a function or a number? Just apply the formula for the sum of an infinite geometric progression and you'll have the result.
May
7
comment An entire function that must be a polynomial
I edited the question with the definition that I'm using :)
May
7
comment An entire function that must be a polynomial
But every function of exponential type zero would have to be constant, which is not true because any polynomial is of exponential type zero.
Apr
12
comment Estimating an integral using the Poisson summation formula
It's $\sum_{|m| \leq j}f(m)$ in the end, right?
Mar
15
comment About a generalization of the Riemann-Lebesgue lemma
I've edited the question.
Mar
15
comment About a generalization of the Riemann-Lebesgue lemma
PhoemueX, I'm sorry, you're right. I'm trying to replace my first assumption. Yes, it turns out that the Lebesgue differentiation theorem solves the problem. g belongs to $L^1_{loc}$ then, when we take the limit, $g(x)$ will be bounded by M. I can just replace the two assumptions and the result will still hold :) thanks!
Feb
15
comment Hilbert-Schmidt norm/smooth manifolds
Yes, sorry, I forgot to mention that. I'll edit the text.
Sep
27
comment Surface orientation
Yes, the bases are orthonormal. I corrected that :) Thanks. This problem can be found on Montiel, Curves and Surfaces, page 76.
Sep
3
comment About scalar products on $\mathbb{R}^n$
Done! :) Thanks
May
29
comment Nilpotent operator / Orthogonal projection
You're right, this isn't true under the given conditions.
Oct
15
comment Representation of $S^{3}$ as the union of two solid tori
Thanks, I edited the title and the tag :)
Oct
4
comment Second countable topological space
Thank you, Brian. =]
Sep
18
comment Smooth Manifolds
Thanks, Matt. I corrected it.
Sep
12
comment Local Isomorphism on Topological Groups
I've changed :)
Sep
12
comment Local Isomorphism on Topological Groups
Oh, sorry, I didn't make it clear. When I started to write this post I first put the title of the topic. He talks about generators of a group later in the same topic.
Aug
19
comment Matrix subsets dimension
Sorry, I've put three "n²-1". Actually, there are just two. I didn't understand it too, but this is how it is written =/
May
16
comment Basis to a manifold by coordinate balls
Is S really contained in B (line 6)? You meant S contained in the image of B via (phi), no?
May
14
comment Basis to a manifold by coordinate balls
I forgot to ask something else... I have to show that there is a coordinate ball in S^n whose closure is equal to all S^n. The open ball of radius 1 is what we're looking for, isn't?
May
4
comment Equivalent to the Euclidean fifth postulate
Thank you. I missed that.
Apr
29
comment Disconnected space - Disjoint Union
Hum... this is an exercise I solved using the other definition. But it's an interesting definition too =]