The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix

F. Štampach; P. Šťovíček

Displaying similar documents to “The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix”

Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons $W^{\pm}$ .

Barbaroux, J.-M., Guillot, J.-C. (2009)

Advances in Mathematical Physics

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Extensions, dilations and functional models of infinite Jacobi matrix

B. P. Allahverdiev (2005)

Czechoslovak Mathematical Journal

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A space of boundary values is constructed for the minimal symmetric operator generated by an infinite Jacobi matrix in the limit-circle case. A description of all maximal dissipative, accretive and selfadjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of...

Some novel generating functions of extended Jacobi polynomials by group theoretic method

A. K. Chongdar, N. K. Majumdar (1996)

Czechoslovak Mathematical Journal

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A study of an operator arising in the theory of circular plates

Leopold Herrmann (1988)

Aplikace matematiky

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The operator $L_{0} : D_{L_{0}} \subset H \to H$ , $L_{0} u = \frac{1}{r} \frac{d}{d r} \{r \frac{d}{d r} [\frac{1}{r} \frac{d}{d r} (r \frac{d u}{d r})]\}$ , $D_{L_{0}} = {u \in C^{4} ([0, R]), u^{'} (0) = u^{''''} (0) = 0, u (R) = u^{'} (R) = 0}$ , $H = L_{2, r} (0, R)$ is shown to be essentially self-adjoint, positive definite with a compact resolvent. The conditions on $L_{0}$ (in fact, on a general symmetric operator) are given so as to justify the application of the Fourier method for solving the problems of the types $L_{0} u = g$ and $u_{t t} + L_{0} u = g$ , respectively.

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem.

Ghanbari, Kazem (2001)

International Journal of Mathematics and Mathematical Sciences

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Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in l 2 by the use of finite submatrices

Maria Malejki (2010)

Open Mathematics

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We consider the problem of approximation of eigenvalues of a self-adjoint operator J defined by a Jacobi matrix in the Hilbert space l 2(ℕ) by eigenvalues of principal finite submatrices of an infinite Jacobi matrix that defines this operator. We assume the operator J is bounded from below with compact resolvent. In our research we estimate the asymptotics (with n → ∞) of the joint error of approximation for the eigenvalues, numbered from 1 to N; of J by the eigenvalues of the finite...

Displaying similar documents to “The Hahn-Exton q-Bessel function as the characteristic function of a Jacobi matrix”

Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons W ± .

Extensions, dilations and functional models of infinite Jacobi matrix

Some novel generating functions of extended Jacobi polynomials by group theoretic method

A study of an operator arising in the theory of circular plates

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem.

Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in l 2 by the use of finite submatrices

Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons $W^{\pm}$ .