bio  website  math.purdue.edu/~eremenko 

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Math Professor
20h

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Two equivalent descriptions of a physical system yielding a nontrivial mathematical formula
mathpages.com/home/kmath242/kmath242.htm 
20h

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Two equivalent descriptions of a physical system yielding a nontrivial mathematical formula
Let me add HuygensFresnel Principle, and Feynman formulation of quantum mechanics (which can be considered as development of this principle. Comparing two descriptions of the motion, it gives a formula for the solution of the Schrodinger equation 
20h

answered  Mathematical statistical qm bookrecommendation 
20h

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Mass Transportation Through Wonderful Roller
Your second equation simplifies to $w(0)=w(T)$. Don't you want to add $w(0)=w(T)=0$, so there is no mass on the roller at the beginning and the end of transportation? 
1d

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Mass Transportation Through Wonderful Roller
What is $m(t)$? 
Mar 23 
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An inequality based on a convex function
This is not true. Take $a=0, b=1, y=3, x=4, t=1, f(x)=x$ for $x\leq 4$ and $f(5)=10$. 
Mar 23 
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If a polynomial $p(z)$ omits a value, then $p(z)\dfrac{(1e^{i\psi})}{n}zp^{\prime}(z)$ also omits that value
This is not true: take p(z)=z$, $\psi=\pi$, $w=1$. 
Mar 22 
answered  Growth of a harmonic function on the disc 
Mar 22 
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Growth of a harmonic function on the disc
This is for almost all $\theta$ and the question was for all $\theta$ if I understood it correctly. 
Mar 22 
answered  Illumination of a convex body 
Mar 18 
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Is the Poincaré metric continuous with respect to the domain?
Do you mean uniform convergence of $u_n$ and all derivatives to $u$ on every compact in $C\backslash K$? 
Mar 18 
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Is the Poincaré metric continuous with respect to the domain?
What is the "smooth topology"? 
Mar 15 
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Holomorphic Function on Disk
If $u$ is smooth in the closed disk then $v$ is smooth in the closed disk. In particular, $v$ is continuous. So $f=u+iv$ is continuous. 
Mar 14 
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Holomorphic Function on Disk
Yes, if the boundary value of $u$ is smooth enough, for example, infinitely smooth. See any book on harmnic analysis, for example Zygmunt, Trig series. 
Mar 13 
answered  Holomorphic Function on Disk 
Mar 12 
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Use of an appendix in a long paper
Option 1 seems the most reasonable one. Let the referee/editor recommend other options, if they are unhappy with the length. 
Mar 4 
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Boundedness of a singular integral operator on $L^p(\mathbb{R})$, $1<p<\infty$
This is essentially the Hilbert transform. Weak estimate in $L^1$ is Kolmogorov's theorem, boundedness in $L^p$ is due to Riesz. Look in Zigmund, or in Koosis or in any other book on the subject. 
Feb 27 
awarded  Nice Answer 
Feb 21 
reviewed  Leave Open Causal (Volterra type) differential equation with local Lipschitz condition 
Feb 21 
reviewed  Close Kwantitatieve Methoden 