Complex symplectic spaces and boundary value problems

DOI10.1090/S0273-0979-05-01078-5zbMath1091.46002MaRDI QIDQ5695896

Lawrence Markus, W. Norrie Everitt

Publication date: 6 October 2005

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

indefinite inner product spacesself-adjoint extensionsKrein spacesharmonic operatorcomplex symplectic spacesbalanced intersection principleBVPs for ODEs and PDEs

Mathematics Subject Classification ID

Related Items (14)

Self‐adjoint extensions for singular linear Hamiltonian systems ⋮ Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries ⋮ Spectral theory for perturbed Krein Laplacians in nonsmooth domains ⋮ A continuum of unusual self-adjoint linear partial differential operators ⋮ Boundary value problems for elliptic partial differential operators on bounded domains ⋮ Self-adjoint extensions for second-order symmetric linear difference equations ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Self-adjoint curl operators ⋮ A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains ⋮ A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains ⋮ Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints ⋮ Self-adjoint operators and the general GKN-EM theorem ⋮ Known and unknown results on elliptic boundary problems ⋮ Spectral analysis of the sixth-order Krall differential expression

Cites Work

• The Sturm-Liouville group
• Formally self-adjoint quasidifferential operators
• A continuum of unusual self-adjoint linear partial differential operators
• Multi-interval linear ordinary boundary value problems and complex symplectic algebra
• An unusual self-adjoint linear partial differential operator
• Differential Operators Generated by a Countable Number of Quasi-Differential Expressions on the Real Line
• Control of quasi-differential equations
• Some Remarks on Linear Ordinary Quasi-Differential Expressions
• Complex symplectic geometry with applications to ordinary differential operators
• Elliptic partial differential operators and symplectic algebra
• Infinite dimensional complex symplectic spaces
• Corrigenda to: Introduction to Symplectic Topology
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