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.