An Inversion Formula for the Distributional H-Transformation.
An operational procedure for Hankel type integrals.
An uniform boundedness for Bochner-Riesz operators related to the Hankel transform.
Análisis de las singularidades de una ecuación diferencial fraccionaria no lineal.
Se exponen las estimaciones numéricas preliminares de las singularidades de una ecuación diferencial fraccionaria no lineal. Dicha ecuación aparece en el estudio de las ondas viajeras asociadas a una ecuación de ondas que es una interpolación entre la ecuación de ondas clásica y la ecuación de Benjamin-Ono.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analytic representation of the distributional finite Hankel transform.
Analytical investigations of the Sudumu transform and applications to integral production equations.
Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.
Approximation of the Hilbert transform via use of sinc convolution.
Asymptotic Expansions of Schwartz's Distributions
Asymptotic Formulas for the Dual Radon Transform and Applications.
Asymptotic properties of the Radon transform in .
Asymptotic Properties of the Radon Transform in Rn
Bergman Spaces For The Solutions Of Linear Partial Differential Equations.
Bessel generalized translations and some problems of approximation theory for functions on the half-line.
Bessel Transforms and Rational Extrapolation.
Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β. As a corollary, the sharp constant is found for a similar weighted inequality for fractional powers of the Beltrami-Laplace operator on the unit sphere.
Best constants for some operators associated with the Fourier and Hilbert transforms
We determine the norm in , 1 < p < ∞, of the operator , where and are respectively the cosine and sine Fourier transforms on the positive real axis, and I is the identity operator. This solves a problem posed in 1984 by M. S. Birman [Bir] which originated in scattering theory for unbounded obstacles in the plane. We also obtain the -norms of the operators aI + bH, where H is the Hilbert transform (conjugate function operator) on the circle or real line, for arbitrary real a,b. Best...
Calderón's Formula Associated with a Differential Operator on (0, ...) and Inversion of the Generalized Abel Transform.
Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative
2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones. Whereas the Riemann-Liouville definition of a fractional derivative is usually employed in mathematical texts and not so frequently in applications, and the Grünwald-Letnikov definition – for numerical approximation of both Caputo and Riemann-Liouville fractional derivatives,...