Displaying similar documents to “A boundary value problem for Hermitian monogenic functions.”

Clifford-Hermite-monogenic operators

Freddy Brackx, Nele de Schepper, Frank Sommen (2006)

Czechoslovak Mathematical Journal

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In this paper we consider operators acting on a subspace of the space L 2 ( m ; m ) of square integrable functions and, in particular, Clifford differential operators with polynomial coefficients. The subspace is defined as the orthogonal sum of spaces s , k of specific Clifford basis functions of L 2 ( m ; m ) . Every Clifford endomorphism of can be decomposed into the so-called Clifford-Hermite-monogenic operators. These Clifford-Hermite-monogenic operators are characterized in terms of commutation relations...