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Displaying similar documents to “The Hua system on irreducible Hermitian symmetric spaces of nontube type”

Hua-harmonic functions on symmetric type two Siegel domains

Dariusz Buraczewski, Ewa Damek (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study a natural system of second order differential operators on a symmetric Siegel domain D that is invariant under the action of biholomorphic transformations. If D is of type two, the space of real valued solutions coincides with pluriharmonic functions. We show the main idea of the proof and give a survey of previous results.

Polynomially growing pluriharmonic functions on Siegel domains

Monika Gilżyńska (2007)

Colloquium Mathematicae

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Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.

Weyl calculus for complex and real symmetric domains

Jonathan Arazy, Harald Upmeier (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We define the Weyl functional calculus for real and complex symmetric domains, and compute the associated Weyl transform in the rank 1 case.

Weak solutions to the complex Hessian equation

Zbigniew Blocki (2005)

Annales de l’institut Fourier

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We investigate the class of functions associated with the complex Hessian equation ( d d c u ) m ∧ ω n - m = 0 .