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Showing 1 to 5 of 5 for “"jacobi operator"”.
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Constant Mean Curvature 1/2 Surfaces in H2 × R
… do so we analyse the linearised mean curvature operator, known as the Jacobi operator. We show that on carefully chosen weighted H¨older spaces the Jacobi operator can be inverted, modulo a finite-dimensional subspace, and provided the neck size of the horizontal catenoid is sufficiently small. …
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Isospectral algorithms, Toeplitz matrices and orthogonal polynomials
… of algorithms compute the spectral measure of a Jacobi operator, which is the weight function for the associated orthogonal polynomials and can include a singular part. The connection coefficients matrix, which converts between different bases of orthogonal polynomials, is shown to be a useful …
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Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters
The decay of the parameters for a Jacobi operator is related to the analyticity of the Jost function associated with J, which is in turn related to the spectral measure of J. Damanik and Simon demonstrated the equivalence between the exponential decay of these parameters and the analyticity of the …
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Propagation Failure in Discrete Inhomogeneous Medium Using a Caricature of the Cubic
… linear reaction term. Using a combination of Jacobi-Operator theory and the Sherman-Morrison formula we de- rive exact solutions in the cases of homogeneous and inhomogeneous diffusion. Solutions exist only under certain conditions outlined in their construction. The range of parameter values …
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Path integrals on manifolds with boundary and their asymptotic expansions
… the heat equation for general Laplace type operators, acting on sections of a vector bundle. We also obtain similar results for the heat kernel, although in this case, one has to restrict to metrics satisfying a certain smoothness condition at the boundary. One of the most important …