Results 21 to 30 of about 128,384 (219)
Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
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Mathematics, 2022 In this contribution we consider sequences of monic polynomials orthogonal with respect to the Sobolev-type inner product f,g=⟨uM,fg⟩+λTjf(α)Tjg(α), where uM is the Meixner linear operator, λ∈R+, j∈N, α≤0, and T is the forward difference operator Δ or ...
Roberto S. Costas-Santos +2 more
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Hamiltonian dynamics of a quantum of space: hidden symmetries and spectrum of the volume operator, and discrete orthogonal polynomials [PDF]
, 2013 The action of the quantum mechanical volume operator, introduced in connection with a symmetric representation of the three-body problem and recently recognized to play a fundamental role in discretized quantum gravity models, can be given as a second ...
V. Aquilanti, D. Marinelli, A. Marzuoli
semanticscholar +1 more source
On a two-dimensional analogue of the Lebesgue function for Fourier-Chebyshov sums [PDF]
E3S Web of ConferencesThis article considers the problem of approximating a function of two variables f(x,y) by Fourier sums over Chebyshev polynomials orthogonal on a discrete grid.
Rustanov A.R., Shikhshinatova M.M.
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On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
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Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions [PDF]
Transactions of the American Mathematical Society, 2019 The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalized to discrete settings involving either a linear or an exponential lattice. The corresponding correlation functions can be expressed in terms of
P. Forrester, Shi-Hao Li
semanticscholar +1 more source
Multi-indexed (q-)Racah Polynomials [PDF]
, 2012 As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of `discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-)Racah polynomials.
Andrews G E +24 more
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Bivariate Hahn moments for image reconstruction
International Journal of Applied Mathematics and Computer Science, 2014 This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
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On an Inequality for Legendre Polynomials
Mathematics, 2020 This paper is concerned with the orthogonal polynomials. Upper and lower bounds of Legendre polynomials are obtained. Furthermore, entropies associated with discrete probability distributions is a topic considered in this paper.
Florin Sofonea, Ioan Ţincu
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Mathematics, 2021 The extended dynamic mode decomposition algorithm is a tool for accurately approximating the point spectrum of the Koopman operator. This algorithm provides an approximate linear expansion of non-linear discrete-time systems, which can be useful for ...
Camilo Garcia-Tenorio +3 more
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