Artículos relacionados a Invariant Function Spaces on Homogenous Manifolds of...

Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications (Translations of Mathematical Monographs) - Tapa dura

American Mathematical Society

 
9780821846049: Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications (Translations of Mathematical Monographs)
Tapa dura
ISBN 10: 0821846043 ISBN 13: 9780821846049
Editorial: American Mathematical Society, 1993

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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. The author obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
1993
Idioma
Inglés
ISBN 10 
0821846043
ISBN 13 
9780821846049
Encuadernación
Tapa dura
Número de páginas
131
Contacto del fabricante
no disponible
Persona responsable
no disponible