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 Feb 10 answered Solving $-\epsilon u''(x) + \beta u'(x) = 1$ Feb 9 answered Variational formulation of harmonicity on Riemannian manifolds 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 Sep 24 awarded Autobiographer Sep 1 awarded Enlightened Sep 1 awarded Nice Answer Jun 24 awarded Yearling Oct 14 answered Reference for Gauss-Manin connection Jun 24 awarded Yearling Dec 15 awarded Revival Aug 27 awarded Enlightened Aug 27 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.