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Point spectrum on a quasi homogeneous tree

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Publication:1826093
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DOI10.2140/pjm.1991.147.231zbMath0685.47026OpenAlexW2087325971MaRDI QIDQ1826093

Kazuhiko Aomoto

Publication date: 1991

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1991.147.231


zbMATH Keywords

symmetric operatorGreen kernelbands of absolutely continuous spectrapoint spectrum for an operator of nearest neighbour type on a tree


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)


Related Items

Some remarks on induced representations of infinite discrete groups ⋮ Periodic Jacobi matrices on trees ⋮ Spectra of infinite graphs via freeness with amalgamation ⋮ Flat bands of periodic graphs ⋮ Algebraic equations for Green kernel on a tree ⋮ Recent results of quantum ergodicity on graphs and further investigation ⋮ Spectra of regular quantum trees: rogue eigenvalues and dependence on vertex condition ⋮ Remarks on periodic Jacobi matrices on trees ⋮ The non-backtracking spectrum of the universal cover of a graph ⋮ Poisson transform on a locally finite tree



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