Results 41 to 50 of about 999 (56)
Superelliptic Affine Lie algebras and orthogonal polynomials
Forum of Mathematics, SigmaWe construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth-order linear differential equations, and one of the families is a particular ...
Felipe Albino dos Santos +2 more
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Direct and Inverse Spectral Problems for (2N + 1)-Diagonal, Complex, Symmetric, Non-Hermitian Matrices [PDF]
, 2004 2000 Mathematics Subject Classification: 42C05.We give an easy procedure for solving of the direct and the inverse spectral problems for the equation. Guseynov used a procedure of the Gelfand-Levitan type for the case N = 1.
Zagorodnyuk, S.
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Convexity of the zeros of some orthogonal polynomials and related functions
, 2008 We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions ...
Ahmed +17 more
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On associated polynomials and decay rates for birth-death processes [PDF]
, 2001 We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials.
Doorn, E.A. van
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Spectral properties of unbounded Jacobi matrices with almost monotonic weights
, 2015 We present an unified framework to identify spectra of Jacobi matrices. We give applications to long-standing conjecture of Chihara concerning one-quarter class of orthogonal polynomials, to the conjecture posed by Roehner and Valent concerning ...
Świderski, Grzegorz
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Spectral measures with arbitrary Hausdorff dimensions
, 2014 In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and ...
Dai, Xin-Rong, Sun, Qiyu
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Universality at an Endpoint for Orthogonal Polynomials with Geronimus-Type Weights
, 2017 We provide a new closed form expression for the Geronimus polynomials on the unit circle and use it to obtain new results and formulas. Among our results is a universality result at an endpoint of an arc for polynomials orthogonal with respect to a ...
Simanek, Brian
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Integral representations for a generalized Hermite linear functional
, 2008 In this paper we find new integral representations for the {\it generalized Hermite linear functional} in the real line and the complex plane.
Costas-Santos, R. S., Sfaxi, Ridha
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Spectra of Self-Similar Measures. [PDF]
Entropy (Basel), 2022 Cao YS, Deng QR, Li MT.
europepmc +1 more source
On Weyl multipliers of non-overlapping Franklin polynomial systems
, 2020 We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for any orthonormal system of non-overlapping Franklin polynomials.
Karagulyan, Grigori A.
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