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
- 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.