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.
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.
