Articles liés à Invariant Function Spaces on Homogeneous Manifolds...

Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications - Couverture rigide

American Mathematical Society

 
9780821846049: Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications
Couverture rigide
ISBN 10 : 0821846043 ISBN 13 : 9780821846049
Editeur : American Mathematical Society, 1993

Synopsis

This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. Agranovskii obtains classifications of translation-invariant spaces and algebras of functions on semisimple and milpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
1993
Langue
anglais
ISBN 10 
0821846043
ISBN 13 
9780821846049
Reliure
Relié
Nombre de pages
131
Coordonnées du fabricant
non disponible
Personne responsable
non disponible