4 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…
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…
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…