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Mar
24
comment Real analysis: collection of sets - sigma-algebra or not?
@DidierPiau Yes you're right. Thanks for the downvote.
Mar
24
answered Real analysis: collection of sets - sigma-algebra or not?
Mar
24
comment $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
Plus one. I can't verify your answer because I don't know enough about lie groups. But I'm grateful that someone posted an alternative proof.
Mar
24
comment $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
I see. Thanks! And thanks for your answer!
Mar
24
answered $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
Mar
23
comment Countability of boundary points
Oh I see. It's vocabulary from the question.
Mar
23
comment Countability of boundary points
What is a strictly open interval?
Mar
23
comment $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
I don't understand your explanation why $\int_0^a g(t) dt$ can't be zero. Could you elaborate? Thanks!
Mar
23
comment $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
@ZhenLin Heh. "...we need a couple of lemmas..." -- I thought this proof was going to be a one liner. Thanks for the link. So that's one way of proving this.
Mar
23
asked $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
Mar
22
revised Orthogonality relations of Characters
Tags edited.
Mar
22
comment Question on Lipschitz condition.
Can't you use that if $f$ is absolutely continuous then it's differentiable almost everywhere and then apply the fundamental theorem of calculus?
Mar
22
comment Orthogonality relations of Characters
@rk101 Glad I could help : )
Mar
22
revised Orthogonality relations of Characters
Explanation added in response to comment.
Mar
22
comment Orthogonality relations of Characters
@rk101 Yes, that's right, the bar corresponds to complex conjugation. In this case conjugation corresponds to taking inverses. I've added the explanation in the answer. Hope this helps. Otherwise don't hesitate to ask.
Mar
22
revised Orthogonality relations of Characters
added 26 characters in body
Mar
22
answered Orthogonality relations of Characters
Mar
20
revised About product measure and Tonelli-Fubini Theorem: Show that H is closed under increasing limit and differences.
Typo corrected.
Mar
20
revised uniformly continuous functions in [0,∞)
Tags edited.
Mar
20
comment uniformly continuous functions in [0,∞)
@t.b. Nice, thank you for providing the missing parts to my answer. : )