A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by a tridiagonal matrix in theâ€¦Â (More)

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2009

2009

Let HÏ‰ be a self-adjoint Jacobi operator with a potential sequence {Ï‰(n)}n of independently distributed random variables withâ€¦Â (More)

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2008

2008

- Thomas A. Ivey
- 2008

Using the methods of moving frames, we study real hypersurfaces in complex projective space CP and complex hyperbolic space CHâ€¦Â (More)

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2008

2008

Trace Formulas and Borg-type Theorems for Matrix-valued Jacobi and Dirac Finite Difference Operators

- Steve J. Clark
- 2008

Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric Dirac difference operators D are provedâ€¦Â (More)

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2005

2005

- Moncef Dziri, Lakhdar T. Rachdi
- Int. J. Math. Mathematical Sciences
- 2005

We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by usingâ€¦Â (More)

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2005

2005

We classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Lie parallel in the direction ofâ€¦Â (More)

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2005

2005

- B. M. Brown, S. NABOKO
- 2005

It is proved in this paper that super-exponentially decaying, possibly non-selfadjoint perturbations of the free Jacobi operatorâ€¦Â (More)

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2002

2002

From the classical differential equation of Jacobi fields, one naturally defines the Jacobi operator of a Riemannian manifoldâ€¦Â (More)

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1999

1999

We prove that harmonic morphisms preserve the Jacobi operator along harmonic maps. We apply this result to prove infinitesimalâ€¦Â (More)

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1999

1999

Complex Jacobi matrices play an important role in the study of asymptotics and zero distribution of Formal Orthogonal Polynomialsâ€¦Â (More)

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1997

1997

- Gerald Teschl
- 1997

We extend recent work concerning isospectral deformations for one-dimensional SchrÃ¶dinger operators to the case of Jacobiâ€¦Â (More)

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