Hello all, this question is a variant (and probably a more difficult one) of a (promptly answered ) question that I asked here, at http://mathoverflow.net/questions/18054/is-it-tru …

Geometric group theory is mainly concerned with topological and geometric properties of groups, spaces on which they act etc., so the ideas employed in GGT are mainly algebraic/geo …

I found the following interesting equation on some web page I cannot remember: $f(f(x))=cos(x)$ Out of curiosity I tried to solve it, but realized that I do not have a clue how t …

On the one hand, Wikipedia suggests that every distribution defines a Radon measure: http://en.wikipedia.org/wiki/Distribution_(mathematics)#Functions_as_distributions On the o …

Consider the Sobolev spaces $W^{k,p}(\Omega)$ with a bounded domain $\Omega$ in n-dimensional Euclidean space. When facing the different embedding theorems for the first time, one …

Functional equations of the form $f(g(x))=(f(x))^p$, where $g(x)$ is known, is called Bottcher equation. Generally, we have only asymptotic formula for the solution $f(x)$ under ce …

Physicists use the "Atiyah-Bott formula" for path "integrals" (for instance the supersymmetric proof of the Atiyah-Singer index theorem. Is there some way to make atleast some of t …

I'm wondering if there is a way to approximate the first $M$ terms of a non-increasing $\ell^2$ sequence ${c_n}$ if we know $|c|_p^p = \sum c_n^p$ for $p=2,3,4,\dots$? I've tri …

So, I can understand how non-standard analysis is better than standard analysis in that some proofs become simplified, and infinitesimals are somehow more intuitive to grasp than e …

How can one show that rational functions satisfy a Lipschitz condition in the chordal metric on the Riemann sphere?

What are some good undergraduate level books, particularly good introductions to (Real and Complex) Analysis, Linear Algebra, Algebra or Differential/Integral Equations (but books …

Suppose we have a curve γ : [0,1] -> ℝn. It is well known that if this curve is Holder continuous for some exponent α then the Hausdorff dimension of γ[0, …

we all know that if we consider the sheaf of germs of a holomorphic functions defined on a domain in C^n,we have too many beautiful theorems characterizing the geometry of the dom …

Singular inequalities are generally difficult to prove. Based on a sufficient numerical experiment, I propose the following conjecture, which has an interesting background. So far …

In one paper I saw this equality: $$\sum_{\eta=-\infty}^{\infty}\frac{z}{(z+\eta)}=\pi z\cot(\pi z)$$ which is the same as $$\sum_{\eta=-\infty}^{\infty}\frac{1}{(z+\eta)}=\pi …