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Dec
12
awarded  Good Question
Dec
10
awarded  Popular Question
Jul
2
awarded  Curious
Apr
20
awarded  Yearling
Jun
23
accepted what's the idea behind Carleman estimate
Jun
23
comment what's the idea behind Carleman estimate
Dear Alan, here $D=\frac{1}{i}\frac{d}{dx}$
May
6
comment integration by parts for the fractional Laplacian
$(-\Delta)^{s}$ is positive if and only if $0<s\les 1$, and they generates positive heat semigroup $e^{-t(-\Delta)^{s}}$.
Apr
21
awarded  Yearling
Apr
20
answered Meromorphic Functions as Distributions
Apr
15
revised Nonintegrable inverse powers as distributions
edited body
Apr
15
revised Nonintegrable inverse powers as distributions
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Apr
15
answered Nonintegrable inverse powers as distributions
Mar
19
accepted Fourier transform and spectrum of PDOs in $L^p$
Jan
31
comment Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$
Dear Anatoly Kochubei, I couldn't get it through the internet, neither in my school library. Would you show me what the detailed reslult is? Thanks very much.
Jan
31
revised Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$
added 266 characters in body; added 2 characters in body; edited body; deleted 2 characters in body; deleted 1 characters in body
Jan
30
asked Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$
Jan
24
comment Why is symplectic geometry so important in modern PDE ?
@David: Thanks very much
Jan
24
awarded  Popular Question
Nov
23
comment T. Carleman's method on eigenvalues asymptotics
I found that C.Sogge's [Lectures on eigenfunctions][1] is also a wonderful reference [1]: mathnt.mat.jhu.edu/sogge/zju/0LecturesOnEigenfunctions.pdf
Nov
23
comment Integral kernel for the resolvent of the laplace operator
If n equal to 1 or 3,then the inverse fourier transform of $(\xi^{2}-z)^{-1}$ is $c_{n}\frac{e^{-\sqrt{z}|x|}}{|x|}$,for other values of dimension,it can be an expression in terms of bessel functions. For instance,it can be found in stein's book "Singular Integrals and Differentiability Properties of Functions"