An X-ray transform estimate in Rn.
We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
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.
Application of the Laplace transform to simulating continuous systems
Applications of a general comparison theorem for convolution integrals
Approximate Solutions Of The Operator Linear Differential Equation II
Approximate solutions of the operator linear differential equation I.
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.
Are linear algorithms always good for linear problems?
Around Widder’s characterization of the Laplace transform of an element of
Let ϰ be a positive, continuous, submultiplicative function on such that for some ω ∈ ℝ, α ∈ and . For every λ ∈ (ω,∞) let for . Let be the space of functions Lebesgue integrable on with weight , and let E be a Banach space. Consider the map . Theorem 5.1 of the present paper characterizes the range of the linear map defined on , generalizing a result established by B. Hennig and F. Neubrander for . If ϰ ≡ 1 and E =ℝ then Theorem 5.1 reduces to D. V. Widder’s characterization...
Associated transforms for solution of nonlinear equations.
Asymmetric deformation of anisotropic porous bodies.
Asymptotic behavior of Fourier-Laplace transform
Asymptotic behavior of moment sequences.
Asymptotic Expansions of Schwartz's Distributions
Asymptotic Formulas for the Dual Radon Transform and Applications.
Asymptotic Fourier and Laplace transformations for hyperfunctions
We develop an elementary theory of Fourier and Laplace transformations for exponentially decreasing hyperfunctions. Since any hyperfunction can be extended to an exponentially decreasing hyperfunction, this provides simple notions of asymptotic Fourier and Laplace transformations for hyperfunctions, improving the existing models. This is used to prove criteria for the uniqueness and solvability of the abstract Cauchy problem in Fréchet spaces.