3 papers
math.CA2024
Multivariate Bessel functions and multivariate Hankel transforms
Victor G. Zakharov
The generalization, similarly to exponential multivariate bases in the Fourier transform, of the Bessel functions to many dimensions is offered. Analogously to the Fourier transfor…
math.CA2021
Matrix method of polynomial solutions to constant coefficient PDE's
Victor G. Zakharov
In the paper, we introduce a matrix method to constructively determine spaces of polynomial solutions (in general, multiplied by exponentials) to a system of constant coefficient l…
math.FA2020
Reproducing fractional monomials: weakening of the Strang-Fix conditions
Victor G. Zakharov
A method to reproduce causal and symmetric monomials of fractional degree by integer shifts of the corresponding fractional B-splines, introduced by M. Unser and Th. Blue, is prese…