The Dirac complex on abstract vector variables: megaforms.

Sabadini, Irene; Sommen, Frank; Struppa, Daniele C.

Displaying similar documents to “The Dirac complex on abstract vector variables: megaforms.”

An algebra of abstract vector variables.

Sommen, F. (1997)

Portugaliae Mathematica

Similarity:

Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces.

Blaya, Ricardo Abreu, Reyes, Juan Bory, Brackx, Fred, De Knock, Bram, De Schepper, Hennie, Peña, Dixan Peña, Sommen, Frank (2008)

Boundary Value Problems [electronic only]

Similarity:

Clifford-Hermite-monogenic operators

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

Czechoslovak Mathematical Journal

Similarity:

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

Similarity:

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...

A boundary value problem for Hermitian monogenic functions.

Blaya, Ricardo Abreu, Reyes, Juan Bory, Peña, Dixan Peña, Sommen, Frank (2008)

Boundary Value Problems [electronic only]

Similarity:

Residues for monogenic forms on Riemannian manifolds

Souček, Vladimír

Similarity:

The paper extends the theory of residues on monogenic forms on domains in $ℝ^{n}$ (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.