Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications

Released on by Mark Lʹvovich Agranovskiĭ
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  • Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications Book Detail

  • Author : Mark Lʹvovich Agranovskiĭ
  • Release Date : 1993-01-01
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 158
  • ISBN 13 : 9780821897478
  • File Size : 54,54 MB
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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications by Mark Lʹvovich Agranovskiĭ PDF Summary

Book Description: 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.

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Lie Semigroups and their Applications

Lie Semigroups and their Applications

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Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such