An algebra of abstract vector variables.

Sommen, F.

Displaying similar documents to “An algebra of abstract vector variables.”

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...

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

Alberto Damiano (2006)

Archivum Mathematicum

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In this paper we use the explicit description of the Spin– $\frac{3}{2}$ Dirac operator in real dimension $3$ appeared in (Homma, Y., The Higher Spin Dirac Operators on $3$ –Dimensional Manifolds. Tokyo J. Math. 24 (2001), no. 2, 579–596.) to perform the algebraic analysis of the space of nullsolution of the system of equations given by several Rarita–Schwinger operators. We make use of the general theory provided by (Colombo, F., Sabadini, I., Sommen, F., Struppa, D. C., Analysis of Dirac systems and...