Algebraic analysis of the Rarita-Schwinger system in real dimension three

Alberto Damiano

The Dirac complex on abstract vector variables: megaforms.

Sabadini, Irene, Sommen, Frank, Struppa, Daniele C. (2003)

Experimental Mathematics

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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...

The free cover of a row contraction.

Arveson, William (2004)

Documenta Mathematica

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