Boundary integration and the discrete Wallach points

Jonathan Arazy, Harald Upmeier

Research output: Contribution to journalArticlepeer-review


Let D be an irreducible hermitian symmetric domain of rank r in C d and let G:= Aut(D) the group of all biholomorphic automorphisms of D. We construct explicit integral formulas for the G-invariant inner products on spaces of holomorphic functions on D associated with the discrete Wallach points by means of integration on G-orbits on the boundary ∂D of D.
Original languageEnglish
Pages (from-to)1-50
Number of pages50
JournalESI Preprint Series
Issue number762
StatePublished - 24 Sep 1999


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