[Turkmath:490] Seminer, Cuma, 13:00, Mayis 8

[Mohan Ravichandran]

Dear All,

    Berkay Anahtarci from Ozyegin University will talk this Fridday at the
Mimar Sinan math department.

Title:  Asymptotics of the spectral gaps for the Mathieu operator
Abstract : The Hill operator on the real line, is self-adjoint and its
spectrum has a band-gap structure, that is, the intervals of continuous
spectrum alternate with spectral gaps. The endpoints of these gaps are
eigenvalues of the same differential operator L but considered on the
interval [0,\pi] with periodic or antiperiodic boundary conditions.

Considering the Hill operator in case of the specific potential
v(x)=2acos(2x), so called the Mathieu operator, we provide precise
asymptotics of the spectral gaps of L.

Our result extends the asymptotic formula of Harrell--Avron--Simon  by
providing more asymptotic terms.This is joint work with Plamen Djakov.

Place : 106, Bomonti campus, MSGSU
Time : 13:00, Friday, May 8

Best,
Mohan Ravichandran
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