scientific article; zbMATH DE number 7688557

zbMath1516.30002arXiv2106.01471MaRDI QIDQ6040177

Narek Hovsepyan

Publication date: 24 May 2023

Full work available at URL: https://arxiv.org/abs/2106.01471

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

reproducing kernel Hilbert spaceanalytic continuation from discrete data

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Analytic continuation of functions of one complex variable (30B40) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

• Best approximation of functions specified with an error at a finite number of points
• Stable extrapolation of analytic functions
• Quantifying the ill-conditioning of analytic continuation
• On von Neumann's minimax theorem
• Optimal Inequalities for Gradients of Solutions of Elliptic Equations Occurring in Two-Phase Heat Conductors
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• A Modified Tikhonov Regularization for Stable Analytic Continuation
• Analytic Continuation by the Fast Fourier Transform
• Synthesis of a Finite Two-terminal Network whose Driving-point Impedance is a Prescribed Function of Frequency
• A continuous dependence result in the analytic continuation problem
• Optimal Error Estimates for Analytic Continuation in the Upper <scp>Half‐Plane</scp>
• On the Feasibility of Extrapolation of the Complex Electromagnetic Permittivity Function Using Kramers--Kronig Relations
• Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces
• Least Squares Methods for Ill-Posed Problems with a Prescribed Bound
• An Application of Doubly Orthogonal Functions to a Problem of Approximation in Two Regions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item