scientific article

zbMath0997.47007MaRDI QIDQ3840246

Victor Vinnikov

Publication date: 8 September 2002

Full work available at URL: http://www.msri.org/communications/books/Book33/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algebraic curvesjoint spectrumpolynomial equationcommuting nonselfadjoint operatorsfunction theory on a compact Riemann surface of a higher genustwo-variable continuous-time systems

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Canonical models for contractions and nonselfadjoint linear operators (47A45)

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Completion problems and scattering problems for Dirac type differential equations with singularities ⋮ Finite dimensional de Branges spaces on Riemann surfaces ⋮ Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space ⋮ Reflection positivity via Krein space analysis ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ A behavioral interpretation of Livšic systems ⋮ de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ Construction of Hardy spaces on Riemann surfaces with boundaries ⋮ Commuting operators over Pontryagin spaces with applications to system theory ⋮ The work of Pavlov on shift operators on a Riemann surface ⋮ Solitonic combinations and commuting nonselfadjoint operators ⋮ Pole placement for overdetermined 2D systems

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