scientific article; zbMATH DE number 1782777

DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200207)242:1<27::AID-MANA27>3.0.CO;2-D" /><27::AID-MANA27>3.0.CO;2-D 10.1002/1522-2616(200207)242:1<27::AID-MANA27>3.0.CO;2-DzbMath0998.42011MaRDI QIDQ4545927

Melih Eryigit, Ilham A. Aliev

Publication date: 18 August 2002

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zbMATH Keywords

wavelet transformshypersingular integralsapproximative inverse operatorsBessel potential fractional powers

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fractional derivatives and integrals (26A33) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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A new wavelet-like transform associated with the Riesz-Bochner integral and relevant reproducing formula ⋮ Inversion of Bessel potentials associated with the Dunkl operators on IRd ⋮ Some generalizations of Bessel and Flett potentials associated to the Laplace–Bessel differential operator ⋮ On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup ⋮ A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials ⋮ On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials ⋮ An integral transform associated to the Poisson integral and inversion of flett potentials ⋮ A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup ⋮ On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator

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