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1. Trasformate di Radon e operatori di convoluzione su gruppi e algebre di Lie

Author

Giancarlo Travaglini and Travaglini, G

Subjects
Pure mathematics, General Mathematics, Real form, operatori di convoluzione, Killing form, Affine Lie algebra, Lie conformal algebra, Graded Lie algebra, Algebra, Adjoint representation of a Lie algebra, Representation of a Lie group, Lie algebra, MAT/05 - ANALISI MATEMATICA, Mathematics
Abstract

The following is an expository paper concerning the relations between Radon transforms and convolution operators associated to singular measures. A quick review of the classical theorems is presented and a recent result of F. Ricci and the author in the framework of compact Lie groups and Lie algebras is outlined. © 1995 Birkhäuser-Verlag.

Published
1995

2. Sulla permanenza degli anelli di Krull e completamente integralmente chiusi rispetto a certi tipi di omomorfismi

Author

Renato Maggioni and Alfio Ragusa

Subjects
Algebra, Integrally closed, Pure mathematics, Mathematics::Algebraic Geometry, Character (mathematics), Mathematics::Commutative Algebra, General Mathematics, Mathematics::Analysis of PDEs, Algebra over a field, Computer Science::Operating Systems, Mathematics
Abstract

In this paper we extend the property of a ringA to be of finite real character to loc-etaleA-algebras and to loc-etale neighbourhoods by a suitable representation of these algebras. By this means we get some result on the property to be completely integrally closed for loc-ind-etaleA-algebras and henselizations. We conclude by a counter-example which shows that the properties to be Krull and completely integrally closed are not preserved in the henselization.

Published
1975