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• W3100853037 startingPage "1844" @default.
• W3100853037 abstract "We consider a suitable extension of the complex Airy operator, $-d^2/dx^2 + ix$, on the real line with a transmission boundary condition at the origin. We provide a rigorous definition of this operator and study its spectral properties. In particular, we show that the spectrum is discrete, the space generated by the generalized eigenfunctions is dense in $L^2$ (completeness), and we analyze the decay of the associated semigroup. We also present explicit formulas for the integral kernel of the resolvent in terms of Airy functions, investigate its poles, and derive the resolvent estimates." @default.
• W3100853037 created "2020-11-23" @default.
• W3100853037 creator A5076342883 @default.
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• W3100853037 date "2017-01-01" @default.
• W3100853037 modified "2023-10-10" @default.
• W3100853037 title "The Complex Airy Operator on the Line with a Semipermeable Barrier" @default.
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• W3100853037 doi "https://doi.org/10.1137/16m1067408" @default.
• W3100853037 hasPublicationYear "2017" @default.
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