This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in KrakA³w, 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.Proceedings of the 9th ISAAC Congress, KrakA³w 2013 Vladimir Mityushev, Michael V. Ruzhansky ... of a complex manifold X, M. Kapranov  (inspired by ideas of M. Kontsevich) discovered the fundamental role played by the Atiyah class of TX in the construction of the topological ... One of the main results contained in Kapranova#39;s paper may be restated as follows. ... As an application of the general theory of Lie algebroid connections, we prove that similar results hold if we replace theanbsp;...
|Title||:||Current Trends in Analysis and Its Applications|
|Author||:||Vladimir Mityushev, Michael V. Ruzhansky|
|Publisher||:||Birkhäuser - 2015-02-04|