LEADER 05324nam 22006375 450 001 9911021152803321 005 20250819130308.0 010 $a3-031-89463-4 024 7 $a10.1007/978-3-031-89463-3 035 $a(CKB)40378557500041 035 $a(MiAaPQ)EBC32265672 035 $a(Au-PeEL)EBL32265672 035 $a(DE-He213)978-3-031-89463-3 035 $a(EXLCZ)9940378557500041 100 $a20250819d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis, PDEs, and Applications $eExtended Abstracts of the Summer School and Conference Celebrating Martin Grigoryan's 70th Birthday /$fedited by Zhirayr Avetisyan, Michael Ruzhansky, Armen Vagharshakyan 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (405 pages) 225 1 $aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v13 311 08$a3-031-89462-6 327 $aMapping 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 ?2-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 ?n -- 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. 330 $aThe present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "Analysis, PDEs and Applications" held 24 June - 6 July 2024 at Yerevan State University, Armenia. The thematic scope of contributions includes linear and non-linear partial differential equations, spectral theory and microlocal analysis, harmonic and functional analysis, theory of functions and approximation theory, and applications in mathematical physics. Each talk or lecture begins with a survey of a body of mathematical work, either classic or modern, leading up to recent advances. This is followed by an exposition of either a specific research problem or a broader area of modern mathematical research, presented by an expert in the field. The volume will be of interest to not only students and young researchers, but also experts looking for a crash course in the main concepts and ideas in one of the many advanced mathematical topics discussed. 410 0$aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v13 606 $aHarmonic analysis 606 $aFunctional analysis 606 $aFourier analysis 606 $aOperator theory 606 $aAbstract Harmonic Analysis 606 $aFunctional Analysis 606 $aFourier Analysis 606 $aOperator Theory 615 0$aHarmonic analysis. 615 0$aFunctional analysis. 615 0$aFourier analysis. 615 0$aOperator theory. 615 14$aAbstract Harmonic Analysis. 615 24$aFunctional Analysis. 615 24$aFourier Analysis. 615 24$aOperator Theory. 676 $a515.785 700 $aAvetisyan$b Zhirayr$01844044 701 $aRuzhansky$b Michael$0950915 701 $aVagharshakyan$b Armen$01844045 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911021152803321 996 $aAnalysis, PDEs, and Applications$94426207 997 $aUNINA