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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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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
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
We investigate the connection between the duality principle and the Osserman condition in a pseudo-Riemannian setting. We prove… 
2010
2010
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary… 
2009
2009
We study 3-dimensional contact metric manifolds, the Ja- cobi operator, of which, vanishes identically. The local description and… 
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… 
2008
2008
Abstract Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied… 
2008
2008
The Jacobi operator (Jf)n = an−1fn−1 +anfn+1 + bnfn on ℤ with real finitely supported sequences (an − 1)n∈ℤ and (bn)n∈ℤ is… 
2007
2007
We prove the non existence of real hypersurfaces in either complex projective spaces or complex hyperbolic spaces whose structure… 
2005
2005
It is proved in this paper that super‐exponentially decaying, possibly non‐selfadjoint perturbations of the free Jacobi operator… 
Highly Cited
1992