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.
Luigi G. Rodino is the President of ISAAC and Professor in the Department of Mathematics at the University of Torino, Italy.
Joachim Toft is Professor in the Department of Mathematics at the Linnaeus University in Sweden.
Dencker, N.: Solvability of Subprincipal Type Operators.- Grubb, G.: Fractional-Order Operators: Boundary Problems, Heat Equations.- Meziani, A.: A Class of Planar Hypocomplex Vector Fields: Solvability and Boundary Value Problems.- Parmeggiani, A.: Almost-Positivity Estimates of Pseudodifferential Operators.- Sawano, Y.: Morrey Spaces from Various Points of View.- Teofanov, N.: The Grossmann-Royer Transform, Gelfand-Shilov Spaces, and Continuity Properties of Localization Operators on Modulation Spaces.