Mathematical Analysis and Applications—Plenary Lectures, 1st ed. 2018 ISAAC 2017, Växjö, Sweden Springer Proceedings in Mathematics & Statistics Series, Vol. 262

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.

Offers a quick, non-technical introduction to recent major themes in Analysis and Applications

Presents a survey on the new achievements concerning partial differential equations of Mathematical Physics

Serves as evidence of outstanding mathematical schools in Nordic European Countries (6 presentations of speakers from Sweden, Finland, Denmark, Norway and Iceland)