Duality for Hermitean Systems in ℝ ²ⁿ

Abstract:

In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize the dual of the (Fréchet) space of germs of left Hermitean monogenic matrix functions in a compact set E ⊂ ℝ 2n. As an application we describe the dual space of the so-called h-monogenic functions satisfying simultaneously two Dirac type equations. © 2010 Springer Basel AG.

Año de publicación:

2012

Keywords:

• duality theory
• Hermitean Clifford analysis

Fuente:

scopus