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Analysis on Lie groups : an introduction /

The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Faraut, Jacques, 1940-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2008.
Colección:Cambridge studies in advanced mathematics ; 110.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The linear group
  • The exponential map
  • Linear Lie groups
  • Lie algebras
  • Haar measure
  • Representations of compact groups
  • The groups SU(2) and SO(3), Haar measure
  • Analysis on the group SU(2)
  • Analysis on the sphere and the Euclidean space
  • Analysis on the spaces of symmetric and Hermitian matrices
  • Irreducible representations of the unitary group
  • Analysis on the unitary group.