New Trends in Analysis and Interdisciplinary Applications

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Provides a representative sample of the international current research in the large field of Analysis and its Applications First systematic collection in book format of chapters devoted to special areas in Analysis Gives insight into outstanding research activities in Asian countries

Contenu
Complex-analytic methods for applied sciences.- Complex variables and potential theory.- Generalized functions.- Harmonic analysis and PDEs.- Integral transforms and reproducing kernels.- Nonlinear partial differential equations.- Pseudo-differential operators.- Quaternionic and Clifford Analysis.- Recent progress in evolution equations.- Advances in fractional calculus and applications.- Analytic and harmonic function spaces and their operators.- Complex and functional analytic methods for differential equations and applications.- Complex geometry.- Function theory of one and several complex variables.- Numerical analysis of PDEs.- Qualitative behaviour of PDEs in fluid mechanics and related topics.- Random matrices.- Recent advances in sequence spaces.- Signal and image analysis and application.- Wavelet theory and related topics.- Fourier analysis and approximation theory.