arXiv Open Access 2012

Spectral Analysis of the Non-self-adjoint Mathieu-Hill Operator

O. A. Veliev

Lihat Sumber

Abstrak

We obtain uniform, with respect to t asymptotic formulas for the eigenvalues of the operators generated in (0,1) by the Mathieu-Hill equation with a complex-valued potential and by the t-periodic boundary conditions. Then using it we investigate the non-self-adjoint Mathieu-Hill operator H generated in the allreal line by the same equation and establish the necessary and sufficient conditions for the potential for which H has no spectral singularity at infinity and it is an asymptotically spectral operator.

Topik & Kata Kunci

math.SP

Penulis (1)

O. A. Veliev

Format Sitasi

APA MLA BibTeX

Veliev, O.A. (2012). Spectral Analysis of the Non-self-adjoint Mathieu-Hill Operator. https://arxiv.org/abs/1202.4735

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓