Topics in Mathematical Analysis

Geared toward young researchers and graduate students, this series of lecture notes provides material delivered at the Minicorsi of Mathematical Analysis held at the U. of Padua from 2000 to 2003. Topics include complex variables and potential theory (featuring integral representations in a range of analyses methods and nonlinear potential theory in metric spaces), differential equations and nonlinear analysis (mean curvature flow, bifurcation theory, a nonlinear eigenvalue problem, nonlinear elliptic equations with critical and supercritical Sobolev exponents, eigenvalue analysis of elliptical operators and the theory of nonlinear semigroups), and harmonic analysis (integral geometry and spectral analysis, Fourier analysis and geometric combinatories, eigenfunctions of the Laplacian, fractal analysis via function spaces and five reviews of harmonic analysis techniques). These remarkably accessible lectures include references and the editors provide an author index. Annotation c2008 Book News, Inc., Portland, OR (booknews.com)