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.