Almost everywhere convergence of some summabillity methods for Laguerre series
Jolanta Długosz (1985)
Studia Mathematica
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Displaying similar documents to “Hermite expansions on R2n for radial functions.”
Almost everywhere convergence of some summabillity methods for Laguerre series
«Approximate approximations» and the cubature of potentials
Gunther Schmidt (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
The Baskakov operators for functions of two variables.
M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2003)
Annales de l'I.H.P. Analyse non linéaire
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Berry–Esseen theorem and local limit theorem for non uniformly expanding maps
Sébastien Gouëzel (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Equisummability Theorems for Laguerre Series
Abd El-Aal El-Adad, El-Sayed (1996)
Serdica Mathematical Journal
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Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.
On the problem of Gauss
O. Fomenko (1961)
Acta Arithmetica
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