Mathematical Analysis and Applications—Plenary Lectures: ISAAC 2017, Växjö, Sweden

Description

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics. Front Matter ....Pages i-ix Solvability of Subprincipal Type Operators (Nils Dencker)....Pages 1-49 Fractional-Order Operators: Boundary Problems, Heat Equations (Gerd Grubb)....Pages 51-81 A Class of Planar Hypocomplex Vector Fields: Solvability and Boundary Value Problems (A. Meziani)....Pages 83-107 Almost-Positivity Estimates of Pseudodifferential Operators (Alberto Parmeggiani)....Pages 109-137 Morrey Spaces from Various Points of View (Yoshihiro Sawano)....Pages 139-160 The Grossmann–Royer Transform, Gelfand–Shilov Spaces, and Continuity Properties of Localization Operators on Modulation Spaces (Nenad Teofanov)....Pages 161-207