Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications

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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications is written by Mark Lʹvovich Agranovskiĭ and published by . It's available with International Standard Book Number or ISBN identification 1470445344 (ISBN 10) and 9781470445348 (ISBN 13).

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. Agranovskiibreve 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.