Alan C
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 Sep1 comment Bounding a function by its second derivative using Fourier series I am sorry, but I am confused. I am asking if there is a way to bound a function by its second derivative with Fourier series, not when a function has a Fourier series. Sep1 asked Is there a simple way to bound this contour integral? Aug29 accepted Proving the mean value property of harmonic functions using distributions? Aug29 asked Bounding a function by its second derivative using Fourier series Aug18 answered How to show that e.g. $\cos(z)$ is analytic using Cauchy- Riemann differential equations? Aug9 comment Proving the mean value property of harmonic functions using distributions? Thank you! This was really easy to follow! One question I have is: how do we generalize this argument to higher dimensions? I know the radial component of $\Delta \phi$ will be $\phi_{rr}+\frac{n-1}{r}\phi_r$, but why is the integral of the remaining part zero? Aug8 asked Proving the mean value property of harmonic functions using distributions? Jan20 comment Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Thank you! I had not thought about the structure of $G$ at all. Jan20 accepted Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Jan19 asked Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Jan16 awarded Yearling Nov20 accepted Can the word “derive” be used to mean “take the derivative of”? Nov9 asked Can the word “derive” be used to mean “take the derivative of”? Nov6 answered Is there a methodical way to compute Euler's Phi function Sep10 accepted How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? Sep9 awarded Nice Question Sep8 comment How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? This is really nice! Thanks! Sep8 comment How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? Wow! This really is an immediate consequence of L'Hopital's rule! Thanks for helping me finish my solution! Sep8 revised How can an ordered pair be expressed as a set? add definition tag Sep8 suggested approved edit on How can an ordered pair be expressed as a set?