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Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type

Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type

Let (<7,£,p, V) be a regular irreducible prehomogeneous vector space defined over the real field R. We denote by P(x) its irreducible relatively invariant polynomial.Let V x u V 2 u u V t be the connected component decomposition of the set V-{x e V; P(x) = 0}.It is conjectured …