Analysis, PDEs, and Applications

Zhirayr Avetisyan is a research fellow at the Ghent Analysis and PDE Center at Ghent University, Belgium.Michael Ruzhansky is a senior full professor of mathematics and director of the Ghent Analysis and PDE Center at Ghent University, Belgium. He is also a professor of mathematics at Queen Mary University of London, United Kingdom.Armen Vagharshakyan is a senior researcher at the Institute of Mathematics, Armenian National Academy of Sciences, Armenia.

• Mapping Properties of Maximal Functions on Graded Lie Groups.- An Invitation to Quantum Field Theory and to its Interplay with Microlocal Analysis and PDEs.- Fourier Analysis via Mild Distributions: Group Theoretical Aspects.- On the Theory of Functions of Omega-Bounded Type.- Subsequences of Sequences of Multiple Partial Trigonometric Fourier Sums.- A Vectorial Free Boundary Transmission Problem (A Short Exposition).- On the 𝑞2-Analogue of the Inverse Source Heat Equation.- On Typical and Atypical Asymptotic Behavior of Singular Solutions to Emden–Fowler Type Equations.- Some Harmonic Bergman-Type Projections on Besov and Bloch Spaces.- On a Dirichlet Problem for a Properly Elliptic Equation in the Space of Continuous Functions, in the Case of Multiple Roots.- On the Behavior of Fourier Coefficients in the Trigonometric System.- Discrete-Time Replicator Equations, Gradient Vector Fields of Nonlinear Mappings, and Optimal Transport Networks.- Deviation Identity for Linear Differential Operators and Its Application to Obstacle Problems.- Nonlinear Approximation with Respect to the Walsh Generalized System.- On the Convergence of Negative-Order Cesaro Means of Fourier and Fourier-Walsh Series.- Irreversibility of a Classical Three-Body Problem: Complexity of a Low-Dimensional System.- On Polynomial Solutions of a PDE with Constant Coefficients.- On Weighted Integral Operators for Solution of 𝜕− Equation in the Siegel Domain of 𝐶n.- On Directionally-Differentiable Selections of Set-Valued Mappings.- On the Convergence of Hard Sampling Operators.- Orientation-Dependent Section Distributions for Convex Bodies.- On the Issues of Modeling the Elimination of Deadlock Situations and Synchronization Problems Using Petri Nets.- Generalized Abel-Plana Formula as a Renormalization Tool in Quantum Field Theory.- On the Universal Functions for Weighted Spaces.- On the Convergence Fourier-Vilenkin Series.- On the Universal Functions for Weighted Spaces.- Construction of a Mathematical Model and Optimization of the Bending of a Beam.- Delaunay Triangulation in Numerical Solution of Two-Dimensional Boundary Value Problems.- Normal Solvability and Fredholm Properties for Regular Hypoelliptic Operators.