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Jun
24
awarded  Yearling
Apr
26
revised How can I prove that any matrix A can be expressed as the sum of two Hermitian matrices , B and C, in the form A = B + iC?
edited body
Apr
26
answered How can I prove that any matrix A can be expressed as the sum of two Hermitian matrices , B and C, in the form A = B + iC?
Mar
15
awarded  Good Answer
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24
awarded  Autobiographer
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1
awarded  Nice Answer
Jun
24
awarded  Yearling
Oct
14
answered Reference for Gauss-Manin connection
Jun
24
awarded  Yearling
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awarded  Revival
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awarded  Enlightened
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awarded  Nice Answer
Aug
24
comment Formula for trace of compact operators on $L^2(\mathbb{R})$ given by integral kernels?
If $K$ is nice, then for each fixed $z$, $K(z,x)$ is a well-behaved function of $x$, hence by the 3rd last equation can express $K(z,x)$ as the sum of $n$ of the integral of $K(z,y) e_n(y)$ with respect to $y$. Now plug in $z = x$ to obtain the result.
Aug
23
revised Help solving differential equation
added 222 characters in body
Aug
23
answered Help solving differential equation
Aug
23
revised Formula for trace of compact operators on $L^2(\mathbb{R})$ given by integral kernels?
added 356 characters in body
Aug
23
comment Formula for trace of compact operators on $L^2(\mathbb{R})$ given by integral kernels?
Yes, I am well aware and absolutely agree. I answered as above, assuming $K(x,y)$ to be as nice as necessary, since it didn't seem that Mike was asking for the weakest possible hypotheses under which this holds, but rather whether it can be made rigorous at all.
Aug
22
answered Formula for trace of compact operators on $L^2(\mathbb{R})$ given by integral kernels?
Aug
21
answered relation between integral and summation