2017•PAMMRequires access

An estimate on the non‐real spectrum of a singular indefinite Sturm‐Liouville operator

Jussi Behrndt, Bernhard Gsell, Philipp Schmitz, Carsten Trunk

Abstract

Abstract It will be shown with the help of the Birman‐Schwinger principle that the non‐real spectrum of the singular indefinite Sturm‐Liouville operator sgn(·)(−d2/dx2 + q) with a real potential q ∈ L1 ∩ L2 is contained in a circle around the origin with radius . (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Key concepts: Sturm–Liouville theory, Spectrum (functional analysis), Operator (biology), RADIUS, Mathematics, Mathematical analysis, Pure mathematics, Mathematical physics