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Isoresonant Complex-valued Potentials and Symmetries by Autin, Aymeric is a scholarly article available to read on EtoBox.

What is Isoresonant Complex-valued Potentials and Symmetries about?

Let $X$ be a connected Riemannian manifold such that the resolvent of the free Laplacian $(\Delta-z)^{-1}, z\in\C\setminus\R^{+},$ has a meromorphic continuation through $\R^{+}$. The poles of this continuation are called resonances. When $X$ has some symmetries, we construct complex-valued potentials, $V$, such that the resolvent of $\Delta+V$, which has also a meromorphic continuation, has the same resonances with multiplicities as the free Laplacian.

Author

Autin, Aymeric

Published

2009

Language

EN