bio | website | math.purdue.edu/~eremenko |
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location | United States | |
age | 60 | |
visits | member for | 2 years, 2 months |
seen | 19 hours ago | |
stats | profile views | 7,801 |
Math Professor
Oct 18 |
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Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
@Christian Rempling: integral of $x\sin(2\pi x)$ over this range will depend on $k$. And the desired estimate does not depend on $k$. |
Oct 18 |
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Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
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Oct 18 |
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Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
What range of $t$ are you interested in? |
Oct 18 |
answered | Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $ |
Oct 17 |
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Hill's discriminant and spectral properties of Schrödinger operator
They do not claim that they arguments constitute a proof of theorem 1: instead they refer to [6,16]. |
Oct 16 |
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Analytic extension of the exterior Newtonian potential into the domain
The boundary of these domains is analytic. Look in the literature I recommended. |
Oct 16 |
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Analytic extension of the exterior Newtonian potential into the domain
Can someone explain her reasons for closing this question?? |
Oct 16 |
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Analytic extension of the exterior Newtonian potential into the domain
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Oct 16 |
answered | Analytic extension of the exterior Newtonian potential into the domain |
Oct 13 |
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Is this series well known?
@Dirk: Why almost? Is $(n^2)!$ "almost" $n^2$? |
Oct 13 |
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Is this series well known?
@Brendan McKey: $n$-th term becomes the biggest when $t\sim n^2$. |
Oct 13 |
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Is this series well known?
@Dirk: How it is related to the integral of theta-function? Where will $(n^2)!$ in the denominator will come from? |
Oct 12 |
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Non-smooth function with all differences of translates smooth?
@Bob Yuncken: right. Everything is fine for periodic functions. But it is probably true without any growth restriction (with a different proof not using any Fourier transform). |
Oct 12 |
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Non-smooth function with all differences of translates smooth?
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Oct 11 |
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Non-smooth function with all differences of translates smooth?
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Oct 10 |
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Non-smooth function with all differences of translates smooth?
@Bob Yuncken: Bob, there is a lot of possibilities for generalization. For example, $f$ can be periodic and locally $L^1$, or in Schwartz temperate distribution space. Some growth conditions are however necessary for Fourier analysis to work. It is actually strange that the answer to such question may depend on the growth of $f$ rather than just local properties. But I do not see how to get rid of the growth conditions completely. |
Oct 10 |
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Non-smooth function with all differences of translates smooth?
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Oct 10 |
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Non-smooth function with all differences of translates smooth?
@Jochen Wengenroth: you are right. We need derivatives in $L^1$. I made a correction. |
Oct 10 |
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Non-smooth function with all differences of translates smooth?
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Oct 10 |
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Non-smooth function with all differences of translates smooth?
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