C.I.M.E. Foundation Subseries

2 primary works

Integral Geometry, Radon Transforms and Complex Analysis

by Carlos A. Berenstein, Peter F Ebenfelt, Simon Gindikin, Sigurdur Helgason, and Alexander Tumanov

Published 16 April 1998

This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

Real Methods in Complex and Cr Geometry

by Marco Abate, John Erik Fornaess, Xiaojun Huang, Jean-Pierre Rosay, and Alexander Tumanov

Published 15 July 2004

The geometry of real submanifolds in complex manifolds and the analysis of their mappings belong to the most advanced streams of contemporary Mathematics. In this area converge the techniques of various and sophisticated mathematical fields such as P.D.E.s, boundary value problems, induced equations, analytic discs in symplectic spaces, complex dynamics. For the variety of themes and the surprisingly good interplaying of different research tools, these problems attracted the attention of some among the best mathematicians of these latest two decades. They also entered as a refined content of an advanced education. In this sense the five lectures of this volume provide an excellent cultural background while giving very deep insights of current research activity.