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<p class="MsoNormal"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Sayin Liste Uyeleri,<br>
<br>
Gebze Teknik Üniversitesi (GTU</span>) <span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">
Matematik Bölümü Genel Seminerleri kapsamında,<br>
5 Mayıs Cuma günü saat 14:00'da </span>Berkay Anahtarcı<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"> (Özyeğin Üniversitesi)
bir seminer verecektir. Seminerin detayları aşağıda ve ekte olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla.<o:p></o:p></span></p>
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Dear all,<br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 5th of<br>
May by </span><span style="font-size:11.0pt;line-height:107%;font-family:"Calibri",sans-serif;
mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:
minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:TR;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA">Berkay
Anahtarcı<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"> (Özyeğin University)<br>
Time and place: At 14:00 in Department of Mathematics, Building I, Seminar room.<br>
<br>
Title: <span>Instability zones of Hill operators</span><br>
Abstract:
<pre style="margin-top: 0px; margin-bottom: 0px;"></pre>
<div>The spectrum of the Hill operator (one-dimensional periodic Schr\"{o}dinger operator) </div>
<div> $L=-d^2/dx^2+v$ where $v\in L^2([0,\pi])$, has a band structure, that is, the intervals of</div>
<div>continuous spectrum alternate with \textit{spectral gaps}, or \textit{instability zones}. The</div>
<div>sizes of these zones decay, and the rate of decay depends on the smoothness</div>
<div>of the potential. In the opposite direction, one can make conclusions about</div>
<div>the smoothness of a potential based on the rate of decay of the instability</div>
<div>zones. In this talk, together with main results in the literature, a Fourier method for</div>
<div>studying the spectral properties of Hill operators will be presented.</div>
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