Results 21 to 30 of about 3,155 (225)
On Fourier Series in the Context of Jacobi Matrices
AxiomsWe investigate the properties of matrices that emerge from the application of Fourier series to Jacobi matrices. Specifically, we focus on functions defined by the coefficients of a Fourier series expressed in orthogonal polynomials.
José M. A. Matos +2 more
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A useful formula for periodic Jacobi matrices on trees [PDF]
Proceedings of the National Academy of Sciences of the United States of AmericaJonathan Breuer +2 more
exaly +2 more sources
Deficiency Indices of Block Jacobi Matrices: Survey
Современная математика: Фундаментальные направления, 2021 The paper is a survey and concerns with infinite symmetric block Jacobi matrices J with m×m-matrix entries. We discuss several results on general block Jacobi matrices to be either self-adjoint or have maximal as well as intermediate deficiency indices ...
Viktoriya S. Budyka +2 more
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CAPACITIES AND JACOBI MATRICES [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 AbstractIn this paper, we use the theorem of Burchnall and Shaundy to give the capacity of the spectrum $\sigma(A)$ of a periodic tridiagonal and symmetric matrix. A special family of Chebyshev polynomials of $\sigma(A)$ is also given. In addition, the inverse problem is considered: given a finite union $E$ of closed intervals, we study the conditions ...
Sebbar, Ahmed, Falliero, Thérèse
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Fractal and Fractional, 2023 This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the ...
Zhongshu Wu +3 more
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Deficiency indices of block Jacobi matrices and Miura transformation
Special Matrices, 2022 We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
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A Note on Reflectionless Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2014 The property that a Jacobi matrix is reflectionless is usually characterized either in terms of Weyl m-functions or the vanishing of the real part of the boundary values of the diagonal matrix elements of the resolvent. We introduce a characterization in terms of stationary scattering theory (the vanishing of the reflection coefficients) and prove that
Jaksic, Vojkan +2 more
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Spectral resolutions for non-self-adjoint block convolution operators [PDF]
Opuscula Mathematica, 2022 The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces.
Ewelina Zalot
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Jacobi matrices with lacunary spectrum [PDF]
, 2020 We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results.
Losev, Ilya
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An operational approach for solving fractional pantograph differential equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The aim of the current paper is to construct the shifted fractional-order Jacobi functions (SFJFs) based on the Jacobi polynomials to numerically solve the fractional-order pantograph differential equations. To achieve this purpose, first the operational
H. Ebrahimi, K. Sadri
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