scientific article; zbMATH DE number 1995999

zbMath1079.34065arXivmath/0111023MaRDI QIDQ4431872

Michael Solomyak

Publication date: 23 March 2004

Full work available at URL: https://arxiv.org/abs/math/0111023

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zbMATH Keywords

positive solutionregular treeWeyl formulaBirman-Schwinger principlesymmetric potentialhomogeneous treemultiplicity of eigenvaluebasic decomposition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

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Spectral estimates for infinite quantum graphs ⋮ Blow-up on metric graphs and Riemannian manifolds ⋮ Spectral properties of Schrödinger operators on radial \(N\)-dimensional infinite trees ⋮ Quantum graphs on radially symmetric antitrees ⋮ Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree ⋮ The Cauchy problem for the wave equation on homogeneous trees ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Spectra of regular quantum trees: rogue eigenvalues and dependence on vertex condition ⋮ Wave propagation in fractal trees. Mathematical and numerical issues

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