Current Trends in Analysis and Its Applications
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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.