Description of spectral functions of differential operators with arbitrary deficiency indices

DOI10.1134/S0001434607030339zbMath1142.34391OpenAlexW2092059847MaRDI QIDQ2473739

Vadim Mogilevskii

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607030339

zbMATH Keywords

spectral functionsWeyl functiondeficiency indexdifferential expressionsNevanlinna matrix

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)

Related Items (8)

Principal Solutions Revisited ⋮ Minimal spectral functions of an ordinary differential operator ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ On characteristic matrices and eigenfunction expansions of two singular point symmetric systems ⋮ Square-integrable solutions and Weyl functions for singular canonical systems ⋮ On eigenfunction expansions of first-order symmetric systems and ordinary differential operators of an odd order

Cites Work

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• Generalized resolvents and the boundary value problems for Hermitian operators with gaps

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