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Results tagged with pseudo-differential-operators
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user 124606
This tag is for questions regarding to the Pseudo-differential operator, acting on a space of functions on a differentiable manifold, that can locally be described by definite rules using a certain function. It satisfies estimates for the derivatives analogous to the estimates for derivatives of polynomials, which are symbols of differential operators.
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Inverse of holomorphic elliptic differential operator
At least on the circle, we have $\lambda_{n}=n^2$. Thus you want to work with
$$
(z^{2}-\Delta)^{-1}=z^{-2}(1-\frac{1}{z^{2}}\Delta)^{-1}=z^{-2}\sum_{k=0}^{\infty} (-\frac{1}{z^2}\Delta)^{k}
$$
If we …
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