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Jacobi operator

A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by a tridiagonal matrix in the… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
The computation of the entries of Jacobi operators associated with orthogonal polynomials has important applications in numerical… Expand
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2011
2011
We obtain a finite-sum representation for the general solution of the equation in terms of a non-vanishing solution corresponding… Expand
2010
2010
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary… Expand
2009
2009
A Riemannian g.o. manifold is a homogeneous Riemannian manifold on which every geodesic is an orbit of a one-parameter group of… Expand
2009
2009
AbstractWe study self-adjoint bounded Jacobi operators of the form: $$(\mathbf{J}\psi)(n) = a_{n}\psi(n + 1) + b_{n}\psi(n) + a_… Expand
2008
2008
We study the classification of immersed constant mean curvature (CMC) spheres in the homogeneous Riemannian 3-manifold Sol_3, i.e… Expand
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2007
2007
Let $M$ be a real hypersurface of a complex space form with almost contact metric structure $(\phi, \xi, \eta, g)$. In this paper… Expand
2007
2007
AbstractWe give a complete classification of $$ \mathfrak{D}^ \bot $$-invariant real hypersurfaces in complex two-plane… Expand
Highly Cited
2001
Highly Cited
2001
Complex Jacobi matrices play an important role in the study of asymptotics and zero distribution of formal orthogonal polynomials… Expand
1997
1997
In this paper, we investigate a real hypersurface of a complex projective space CPn in terms of the Jacobi operators. We give a… Expand