23 citations · 65 across the 11 of their papers we have counts for
13 papers
Distributional Point Values and Delta Sequences
Ricardo Estrada, Kevin Kellinsky-Gonzalez
Recently Sasane defined a notion of evaluating a distribution at a point using delta sequences. In this paper, we explore the relationship between generalizations of his definition…
The Fourier transform of thick distributions
Ricardo Estrada, Jasson Vindas, Yunyun Yang
We first construct a space whose elements are test functions defined in $\mathbb{R} _{\text{c}}^{n}=\mathbb{R}^{n}\cup\left\{…
General Stieltjes moment problems for rapidly decreasing smooth functions
Ricardo Estrada, Jasson Vindas
We give (necessary and sufficient) conditions over a sequence of functions under which every generalized Stieltjes moment problem \[ \int_{0…
Null Spaces of Radon Transforms
Ricardo Estrada, Boris Rubin
We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally g…
Applications of the Thick Distributional Calculus
Yunyun Yang, Ricardo Estrada
We give several applications of the thick distributional calculus. We consider homogeneous distributions, point source fields, and higher order derivatives of order
Comment on `Comment on `Some novel delta-function identities' by Charles P Frahm (Am. J. Phys 51 826--9 (1983))' by J. Franklin (Am. J. Phys 78 1225--26 (2010))
Yunyun Yang, Ricardo Estrada
We prove the formula for the second order "thick" distributional derivative of 1/r in 3 dimensional Euclidean space. This formula generalizes the well known Frahm formulas for the…
On Borel summability and analytic functionals
Ricardo Estrada, Jasson Vindas
We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin. Consequently, we obtain…
On distributional point values and boundary values of analytic functions
Ricardo Estrada, Jasson Vindas
We give the following version of Fatou's theorem for distributions that are boundary values of analytic functions. We prove that if is the distribu…
Surface Vacuum Energy in Cutoff Models: Pressure Anomaly and Distributional Gravitational Limit
Ricardo Estrada, Stephen A. Fulling, Fernando D. Mera
Vacuum-energy calculations with ideal reflecting boundaries are plagued by boundary divergences, which presumably correspond to real (but finite) physical effects occurring near th…
Distributional versions of Littlewood's Tauberian theorem
Ricardo Estrada, Jasson Vindas
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian resul…
A General Integral
Ricardo Estrada, Jasson Vindas
We define an integral, the distributional integral of functions of one real variable, that is more general than the Lebesgue and the Denjoy-Perron-Henstock-Kurzweil integrals, and…
Inversion Formulas for the Spherical Means in Constant Curvature Spaces
Yuri A. Antipov, Ricardo Estrada, Boris Rubin
The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate c…
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
R. Estrada, S. A. Fulling
Asymptotic expansions of Green functions and spectral densities associated with partial differential operators are widely applied in quantum field theory and elsewhere. The mathema…