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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… 
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Related topics

Related topics

4 relations
Gaussian quadratureHilbert spaceRecurrence relationVariation diminishing property

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form
Let M be a real hypersurface of a complex space form with almost contact metric structure (φ, ξ, η, g). In this paper, we prove… 
2013
2013
RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS
In this paper we give a non-existence theorem for Hopf hy- persurfaces in the complex two-plane Grassmannian G2(C m+2 ) with re… 
2010
2010
Calderón-Zygmund Operators Related to Jacobi Expansions
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary… 
2009
2009
Three Dimensional Contact Metric Manifolds with Vanishing Jacobi Operator
We study 3-dimensional contact metric manifolds, the Ja- cobi operator, of which, vanishes identically. The local description and… 
2009
2009
Constant Jacobi osculating rank of a g.o. space. A method to obtain explicitly the Jacobi operator
A Riemannian g.o. manifold is a homogeneous Riemannian manifold on which every geodesic is an orbit of a one-parameter group of… 
2009
2009
Slowly oscillating perturbations of periodic Jacobi operators in l²(ℕ)
We prove that the absolutely continuous part of the periodic Jacobi operator does not change (modulo unitary equivalence) under… 
2008
2008
Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator
Abstract Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied… 
2005
2005
The Inverse Resonance Problem for Jacobi Operators
It is proved in this paper that super‐exponentially decaying, possibly non‐selfadjoint perturbations of the free Jacobi operator… 
Highly Cited
2001
Highly Cited
2001
Complex Jacobi matrices
Highly Cited
1992
Highly Cited
1992
Two natural generalizations of locally symmetric spaces
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