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Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples

✍ Scribed by Anne Boutet de Monvel; Jan Janas; Serguei Naboko

Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
286 KB
Volume
69
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

A gap in the essential spectrum of a cyl
A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface
✍ Giuseppe Cardone; Sergey A. Nazarov; Carmen Perugia 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB

It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the essential spectrum of the Dirichlet problem for the Laplace operator. If the perturbation period is long and the caverns in the cylinder are small, the gap certainly opens.