Harmonic analysis on line bundles over the exceptional domain E7(−25)/U(1)E6

DOI10.1063/5.0166012OpenAlexW4390696465MaRDI QIDQ6188559

Fouzia El Wassouli

Publication date: 7 February 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0166012

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Exceptional groups (20G41)

Cites Work

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• Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains
• Simply connected compact simple Lie group \(E_{6(-78)}\) of type \(E_6\) and its involutive automorphisms.
• Simply connected compact simple Lie group \(E_{7(-133)}\) of type \(E_7\).
• Bergman kernel on generalized exceptional Hua domain.
• Function spaces and reproducing kernels on bounded symmetric domains
• Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains
• Shimura invariant differential operators and their eigenvalues

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