«autoconvolution equations»

Autoconvolution equations and generalized Mittag-Leffler ‎functions

This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the fir

autoconvolution equations and generalized mittag-leffler ‎functions

this article is devoted to study of the autoconvolution equations and generalized mittag-leffler functions. these types of equations are given in terms of the laplace transform convolution of a function with itself. we state new classes of the autoconvolution equations of the fir

Autoconvolution equations of the third kind with Abel integral

On the Autoconvolution Equation and Total Variation Constraints

Regularization of autoconvolution and other ill-posed quadratic equations by decomposition

Standard methods for regularizing ill-posed nonlinear equations rely on derivatives of the nonlinear forward mapping. Thereby stronger structural properties of the concrete problem are neglected and the derived algorithms only show mediocre efficiency. We concentrate on nonlinear

Integro-differential equations of first order with autoconvolution integral II

Integro-differential equations of the first order with autoconvolution integral

Multivariate tile $\mathrm{B}$-splines

Tile $\mathrm{B}$-splines in $\mathbb R^d$ are defined as autoconvolutions of indicators tiles, which special self-similar compact sets whose integer translates tile the space R^d$. These functions not piecewise-polynomial, however, being direct generalizations classical $\mathrm

Three?dimensional transfer function of optical microscopes in reflection mode

Three-dimensional (3D) transfer functions build the basis for a comprehensive characterization of optical imaging systems in spatial frequency domain. Utilizing projection-slice theorem, 2D modulation function an incoherent system can be derived from 3D by integration with respec