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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
2
votes
Accepted
Identification of smooth operators with rapidly decreasing matrices
This is, of course, a long story incorporating many strands but I will try to give a quick overview. Firstly, it is, as so often, convenient to skip to a more general framework. In your case, this …
1
vote
Accepted
Time-derivative of integral over sub-level set $s(t) := \int_{f^{-1}((-\infty,t])}p(x)dx$
This is a comment (but too long for that format) to suggest a simple and elementary approach: we can write
$$s_f(t)=\int H(t-f(x))p(x)\,dx$$ and manipulate formally (but see below) to get
$$\frac{d}{ …