arXiv Open Access 2009

Isoresonant complex-valued potentials and symmetries

Aymeric Autin

Lihat Sumber

Abstrak

Let $X$ be a connected Riemannian manifold such that the resolvent of the free Laplacian $(Δ-z)^{-1}, z\in\C\setminus\R^{+},$ 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 $Δ+V$, which has also a meromorphic continuation, has the same resonances with multiplicities as the free Laplacian.

Topik & Kata Kunci

math.SP

Penulis (1)

Aymeric Autin

Format Sitasi

APA MLA BibTeX

Autin, A. (2009). Isoresonant complex-valued potentials and symmetries. https://arxiv.org/abs/0905.1277

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓