Displaying similar documents to “Algebraic analysis of the Rarita-Schwinger system in real dimension three”

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