Titlebook: Operator Methods in Ordinary and Partial Differential Equations; S. Kovalevsky Sympos Sergio Albeverio,Nils Elander,Pavel Kurasov Conferenc

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Lyapunov Exponents in Continuum Bernoulli-Anderson Modelsrom a discrete set of critical energies. The proof is based on Fürstenberg’s Theorem. The set of critical energies is described explicitly in terms of the transmission and reflection coefficients for scattering at the single-site potential. In examples we discuss the asymptotic behavior of generaliz

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Singular Point-like Perturbations of the Laguerre Operator in a Pontryagin Space|α| and |α|≠ 2, 3,… this function belongs to the generalized Nevanlinna class ..,.A natural question appears: to what spectral problem does this function correspond? For α< -1, α ≠-2, -3,…, an answer was given by Derkach [D]. He obtained an operator representation for the function.in terms of a self

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