Integral Geometry, Radon Transforms and Complex Analysis

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996
1998
ISBN: 978-3-540-64207-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 170 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 277 g

Reihe: C.I.M.E. Foundation Subseries

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.

Zielgruppe

Research

Autoren/Hrsg.

Helgason, Sigurdur

Berenstein, Carlos A.

Ebenfelt, Peter F.

Gindikin, Simon

Tumanov, Alexander

Casadio Tarabusi, Enrico

Picardello, Massimo A.

Zampieri, Giuseppe

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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.