2 citations · 2 across the 4 of their papers we have counts for
7 papers
On the commutation properties of finite convolution and differential operators I: commutation
Yury Grabovsky, Narek Hovsepyan
Spectral properties of many finite convolution integral operators have been understood by finding differential operators that commute with them. In this paper we compile a complete…
On the optimal analytic continuation from discrete data
Narek Hovsepyan
We consider analytic functions from a reproducing kernel Hilbert space. Given that such a function is of order on a set of discrete data points, relative to its global size, we…
On feasibility of extrapolation of the complex electromagnetic permittivity function using Kramer-Kronig relations
Yury Grabovsky, Narek Hovsepyan
We study the degree of reliability of extrapolation of complex electromagnetic permittivity functions based on their analyticity properties. Given two analytic functions, represent…
Rigidity of a thin domain depends on the curvature, width, and boundary conditions
Zhirayr Avetisyan, Davit Harutyunyan, Narek Hovsepyan
This paper is concerned with the study of linear geometric rigidity of shallow thin domains under zero Dirichlet boundary conditions on the displacement field on the thin edge of t…
Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces
Yury Grabovsky, Narek Hovsepyan
The need for analytic continuation arises frequently in the context of inverse problems. Notwithstanding the uniqueness theorems, such problems are notoriously ill-posed without ad…
Analytic continuation in an annulus and in a Bernstein ellipse
Yury Grabovsky, Narek Hovsepyan
Analytic continuation problems are notoriously ill-posed without additional regularizing constraints, even though every analytic function has a rigidity property of unique continua…