A. A. Fedotov, “A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant”, Funktsional. Anal. i Prilozhen., 2018, Volume 52, Issue 4,Pages <nobr>89

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Brief communications

A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant

A. A. Fedotov

Saint Petersburg State University

Abstract: For the almost Mathieu operator with small coupling constant, we describe the asymptotics of a monodromy matrix and of a series of spectral gaps.

Keywords: almost Mathieu operator, small coupling, monodromy matrix, asymptotics of spectral gaps.

UDC: 517.984.5+517.962.22

Received: 03.10.2017

DOI: 10.4213/faa3531