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Pierre Bäcklund

Publications and source records attributed to Pierre Bäcklund.

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Families of equivariant differential operators and anti de Sitter spaces

We prove existence and uniqueness of a sequence of differential intertwining operators for spherical principal series representations, which are realized on boundaries of anti de Sitter spaces. Algebraically, these operators correspond to homomorphisms of generalized Verma modules. We relate these families to the asymptotics of eigenfunctions on anti de Sitter spaces.

math.DG↗