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• W2330669171 abstract "We consider the Klein-Gordon equation on a star-shaped networkcomposed of $n$ half-axes connected at their origins. We add apotential which is constant but different on each branch. Thecorresponding spatial operator is self-adjoint and we state explicitexpressions for its resolvent and its resolution of the identity interms of generalized eigenfunctions. This leads to a generalizedFourier type inversion formula in terms of an expansion ingeneralized eigenfunctions. This paper is a survey of a longerarticle, nevertheless the proof of the central formula is indicated." @default.
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• W2330669171 date "2012-12-01" @default.
• W2330669171 modified "2023-09-23" @default.
• W2330669171 title "Dispersive waves with multiple tunnel effect on a star-shaped network" @default.
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• W2330669171 doi "https://doi.org/10.3934/dcdss.2013.6.783" @default.
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