Clifford-Hermite-monogenic operators

Freddy Brackx; Nele de Schepper; Frank Sommen

Displaying similar documents to “Clifford-Hermite-monogenic operators”

An algebra of abstract vector variables.

Sommen, F. (1997)

Portugaliae Mathematica

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The Dirac complex on abstract vector variables: megaforms.

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

Experimental Mathematics

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Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces.

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie (2010)

Boundary Value Problems [electronic only]

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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)

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A generalization of the Schwarzian via Clifford numbers.

Wada, Masaaki (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

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A boundary value problem for Hermitian monogenic functions.

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

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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...

On (n,k)-quasiparanormal operators

Jiangtao Yuan, Guoxing Ji (2012)

Studia Mathematica

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Let T be a bounded linear operator on a complex Hilbert space . For positive integers n and k, an operator T is called (n,k)-quasiparanormal if $| | T^{1 + n} (T^{k} x) {| |}^{1 / (1 + n)} | | T^{k} {x | |}^{n / (1 + n)} \geq | | T (T^{k} x) | |$ for x ∈ . The class of (n,k)-quasiparanormal operators contains the classes of n-paranormal and k-quasiparanormal operators. We consider some properties of (n,k)-quasiparanormal operators: (1) inclusion relations and examples; (2) a matrix representation and SVEP (single valued extension property); (3) ascent and Bishop’s property (β); (4)...

A note on Dirac operators

N. I. Saiti (1989)

Matematički Vesnik

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