This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:
— Differential Equations: Complex and Functional Analytic Methods
— Nonlinear PDE
— Qualitative Properties of Evolution Models
— Differential and Difference Equations
— Toeplitz Operators
— Wavelet Theory
— Topological and Geometrical Methods of Analysis
— Queueing Theory and Performance Evaluation of Computer Networks
— Clifford and Quaternion Analysis
— Fixed Point Theory
— M-Frame Constructions
— Spaces of Differentiable Functions of Several Real Variables
Generalized Functions
— Analytic Methods in Complex Geometry
— Topological and Geometrical Methods of Analysis
— Integral Transforms and Reproducing Kernels
— Didactical Approaches to Mathematical Thinking
Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.