Results 1 to 10 of about 26,851 (277)
On an interpolation problem on a class of a radially weighted harmonic Bergman space
Journal of Inequalities and ApplicationsThe purpose of the present article is to interpolate a sequence by a function in the space of a weighted harmonic Bergman space on the unit ball such that the weight is provided radially.
Mohammed El Aïdi
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Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces
Journal of Numerical Analysis and Approximation TheoryThe main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles.
Ahmed Chana, Abdellatif Akhlidj
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Cyclicity in de Branges–Rovnyak spaces
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋).
Fricain Emmanuel, Grivaux Sophie
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Representation by Integrating Reproducing Kernels [PDF]
, 2012 Based on direct integrals, a framework allowing to integrate a parametrised family of reproducing kernels with respect to some measure on the parameter space is developed.
Hotz, Thomas, Telschow, Fabian J. E.
core
Cubature formulas, geometrical designs, reproducing kernels, and Markov operators
, 2005 Cubature formulas and geometrical designs are described in terms of reproducing kernels for Hilbert spaces of functions on the one hand, and Markov operators associated to orthogonal group representations on the other hand.
De La Harpe, Pierre, Pache, Claude
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UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS
Проблемы анализаThe main purpose of this paper is to introduce the deformed Hankel 𝐿^2_𝛼-multiplier operators and to give some new results related to these operators as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles.
A. Chana, A. Akhlidj
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Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Nuclear Physics B, 2021 We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions.
Leonardo Santilli, Miguel Tierz
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Hereditary completeness for systems of exponentials and reproducing kernels
, 2011 We solve the spectral synthesis problem for exponential systems on an interval. Namely, we prove that any complete and minimal system of exponentials $\{e^{i\lambda_n t}\}$ in $L^2(-a,a)$ is hereditarily complete up to a one-dimensional defect.
Baranov, Anton +2 more
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, 2012 We define quaternionic Hermite polynomials by analogy with two families of complex Hermite polynomials. As in the complex case, these polynomials consatitute orthogonal families of vectors in ambient quaternionic $L^2$-spaces. Using these polynomials, we
Adler S. L. +4 more
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Tropical Reproducing Kernels and Optimization
Integral Equations and Operator TheoryHilbertian kernel methods and their positive semidefinite kernels have been extensively used in various fields of applied mathematics and machine learning, owing to their several equivalent characterizations. We here unveil an analogy with concepts from tropical geometry, proving that tropical positive semidefinite kernels are also endowed with ...
Pierre-Cyril Aubin-Frankowski +1 more
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