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.

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Bibliographic Information

Book Title: Integral Geometry, Radon Transforms and Complex Analysis
Book Subtitle: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996
Authors: Carlos A. Berenstein, Peter F. Ebenfelt, Simon G. Gindikin, Sigurdur Helgason, Alexander E. Tumanov
Editors: Enrico Casadio Tarabusi, Massimo A. Picardello, Giuseppe Zampieri
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0096088
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Softcover ISBN: 978-3-540-64207-7Published: 16 April 1998
eBook ISBN: 978-3-540-69702-2Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 170
Topics: Integral Transforms, Operational Calculus, Differential Geometry

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Table of contents (5 chapters)

Front Matter

Randon transforms, wavelets, and applications

Holomorphic mappings between real analytic submanifolds in complex space

Real integral geometry and complex analysis

Radon transforms and wave equations

Analytic discs and the extendibility of CR functions

Back Matter

About this book