Harmonic and subharmonic function theory on the hyperbolic ball /

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Stoll, Manfred
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2016.
Colección:London Mathematical Society lecture note series ; 431.
Temas:
Harmonic functions.
Subharmonic functions.
Hyperbolic spaces.
Fonctions harmoniques.
Fonctions sous-harmoniques.
Espaces hyperboliques.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Möbius transformations
  • Möbius self-maps of the unit ball
  • The invariant laplacian, gradient, and measure
  • Harmonic and subharmonic functions
  • The Poisson kernel and Poisson integrals
  • Spherical harmonic expansions
  • Hardy-type spaces of subharmonic functions
  • Boundary behavior of Poisson integrals
  • The Riesz decomposition theorem for subharmonic functions
  • Bergman and Dirichlet spaces of harmonic functions.

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