Topics in mathematical analysis

"The Minicorsi of Mathematical Analysis have been held at the University of Padova since 1998, and the subject of the lectures ranges over various areas of mathematical analysis including complex variables, differential equations, geometric measure theory, harmonic analysis, potential theory, and spectral theory. "The purposes of the Minicorsi are to provide an update on the most recent research themes in the field, and to provide a presentation that is also accessible to beginners. "The lecturers have been selected both on the basis of their outstanding scientific level and on their clarity of exposition. Thus the Minicorsi and the present collection of lectures are particularly indicated for young researchers and graduate students. "In this volume, the organizers have collected most of the lectures held in the years 2000--2003, and intend to provide the reader with material otherwise difficult to find and written in a way that is also accessible to nonexperts.'' Contents: Heinrich Begehr, Integral representations in complex, hypercomplex and Clifford analysis (3--27) MR2462950; Olli Martio, Nonlinear potential theory in metric spaces (29--60) MR2462951; Giovanni Bellettini, An introduction to mean curvature flow (63--102) MR2462952; Pavel Drábek, Introduction to bifurcation theory (103--174) MR2462953; Peter Lindqvist, A nonlinear eigenvalue problem (175--203) MR2462954; Donato Passaseo, Nonlinear elliptic equations with critical and supercritical Sobolev exponents (205--226) MR2462955; Grigori Rozenblum [G. V. Rozenblyum], Eigenvalue analysis of elliptic operators (227--256) MR2462956; Edoardo Vesentini, A glimpse of the theory of nonlinear semigroups (257--277) MR2462957; Mark Agranovsky, Integral geometry and spectral analysis (281--320) MR2462958; Alex Iosevich, Fourier analysis and geometric combinatorics (321--335) MR2462959; Christopher D. Sogge, Lectures on eigenfunctions of the Laplacian (337--360) MR2462960; Fernando Soria, Five lectures on harmonic analysis (361--412) MR2462961; Hans Triebel, Fractal analysis, an approach via function spaces (413--447) MR2462962.