A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains
F Gesztesy, M Mitrea - Journal d'Analyse Mathématique, 2011 - Springer
This paper has two main goals. First, we are concerned with a description of all self-adjoint
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …
Spectral theory for perturbed Krein Laplacians in nonsmooth domains
MS Ashbaugh, F Gesztesy, M Mitrea, G Teschl - Advances in Mathematics, 2010 - Elsevier
We study spectral properties for HK, Ω, the Krein–von Neumann extension of the perturbed
Laplacian− Δ+ V defined on C0∞(Ω), where V is measurable, bounded and nonnegative, in …
Laplacian− Δ+ V defined on C0∞(Ω), where V is measurable, bounded and nonnegative, in …
A survey on the Krein–von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in …
MS Ashbaugh, F Gesztesy, M Mitrea… - … physics, spectral theory …, 2013 - Springer
In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of
the Krein–von Neumann extension (on the orthogonal complement of its kernel) of a densely …
the Krein–von Neumann extension (on the orthogonal complement of its kernel) of a densely …
[HTML][HTML] Characterization of self-adjoint extensions for discrete symplectic systems
P Zemánek, S Clark - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
All self-adjoint extensions of minimal linear relation associated with the discrete symplectic
system are characterized. Especially, for the scalar case on a finite discrete interval some …
system are characterized. Especially, for the scalar case on a finite discrete interval some …
[HTML][HTML] New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes
J Gilewicz, E Leopold, G Valent - Journal of Computational and Applied …, 2005 - Elsevier
The orthogonal polynomials with recurrence relationand the three kinds of cubic transition
ratescorrespond to indeterminate Stieltjes moment problems. It follows that the polynomials …
ratescorrespond to indeterminate Stieltjes moment problems. It follows that the polynomials …
Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
RŠ Hilscher, P Zemánek - Mathematica Bohemica, 2010 - dml.cz
In this paper we consider a linear operator on an unbounded interval associated with a
matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the …
matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the …
Linear operators associated with differential and difference systems: what is different?
P Zemánek - Progress on Difference Equations and Discrete …, 2020 - Springer
The existence of a densely defined operator associated with (time-reversed) discrete
symplectic systems is discussed and the necessity of the development of the spectral theory …
symplectic systems is discussed and the necessity of the development of the spectral theory …
Friedrichs extension of operators defined by symmetric banded matrices
O Došlý, P Hasil - Linear algebra and its applications, 2009 - Elsevier
Friedrichs extension of operators defined by symmetric banded matrices Page 1 Linear Algebra
and its Applications 430 (2009) 1966–1975 Contents lists available at ScienceDirect Linear …
and its Applications 430 (2009) 1966–1975 Contents lists available at ScienceDirect Linear …
The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix
F Štampach, P Šťovíček - Special Matrices, 2014 - degruyter.com
A family T (ν), ν∈ ℝ, of semiinfinite positive Jacobi matrices is introduced with matrix entries
takenfrom the Hahn-Exton q-difference equation. The corresponding matrix operators …
takenfrom the Hahn-Exton q-difference equation. The corresponding matrix operators …
Extensions of symmetric infinite Jacobi operator
BP Allahverdiev - Linear and Multilinear Algebra, 2014 - Taylor & Francis
A space of positive boundary values is constructed for a positive definite minimal symmetric
operator generated by an infinite Jacobi matrix in limit-circle case. A description of all …
operator generated by an infinite Jacobi matrix in limit-circle case. A description of all …