Harmonic analysis of a nilpotent group and function theory on Siegel domains of type II

DOI10.1016/S0001-8708(79)80009-2zbMath0463.43002MaRDI QIDQ1153511

Robert D. Ogden, Stephen Vági

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

non-commutative harmonic analysisSiegel domainH2-function

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items

Injectivity of the Pompeiu transform in the Heisenberg group ⋮ Group convolution operators on standard CR-manifolds. I: Structural properties ⋮ The Drury-Arveson space on the Siegel upper half-space and a von Neumann type inequality ⋮ Convolution operators on standard CR-manifolds. II: Algebras of convolution operators on the Heisenberg group ⋮ Fourier transform of a space of holomorphic discrete series ⋮ Hardy spaces and Laguerre expansions on the dual of the Heisenberg group ⋮ Fourier representations in Bergman spaces ⋮ Invariant spaces and algebras of functions on the Heisenberg group ⋮ \(C^*\)-algebras generated by orthogonal projections and their applications ⋮ Paley-Wiener-Schwartz theorems on quadratic CR manifolds ⋮ Besov spaces of analytic type: interpolation, convolution, Fourier multipliers, inclusions ⋮ On the theory of Bergman spaces on homogeneous Siegel domains ⋮ Analysis of the Kohn Laplacian on quadratic CR manifolds. ⋮ INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Paley-Wiener theorems on the Siegel upper half-space ⋮ Radon transforms on Siegel-type nilpotent Lie groups ⋮ A characterization of the inverse Radon transform associated with the classical domain of type one ⋮ Sampling in spaces of entire functions of exponential type in \(\mathbb{C}^{n + 1} \) ⋮ A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary ⋮ Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II

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