[Turkmath:2197] Gebze Teknik Universitesi Matematik Bolumu Seminer Ilani

[Işıl Öner]

Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
5 Mayıs Cuma günü saat 14:00'da Berkay Anahtarcı (Özyeğin Üniversitesi) bir seminer verecektir. Seminerin detayları aşağıda ve ekte olup tüm ilgilenenler davetlidir.

Saygılarımızla.


Dear all,

There will be a seminar in Gebze Technical University (GTU) on 5th of
May  by Berkay Anahtarcı (Özyeğin University)
Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title: Instability zones of Hill operators
Abstract:

The spectrum of the Hill operator (one-dimensional periodic Schr\"{o}dinger operator)
 $L=-d^2/dx^2+v$ where $v\in L^2([0,\pi])$, has a band structure, that is, the intervals of
continuous spectrum alternate with \textit{spectral gaps}, or \textit{instability zones}. The
sizes of these zones decay, and the rate of decay depends on the smoothness
of the potential. In the opposite direction, one can make conclusions about
the smoothness of a potential based on the rate of decay of the instability
zones. In this talk, together with main results in the literature, a Fourier method for
studying the spectral properties of Hill operators will be presented.




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