Duality theorems in the Hermitian setting

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:390

Article

Colombo, Fabrizio¹  Sabadini, Irene¹  Struppa, Daniele C.² 

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Chapman Univ, Schmid Coll Sci & Technol, Orange, CA 92866 USA

关键词: Hermitian Clifford analysis;    Duality theorems;    Frechet modules;   

DOI  :  10.1016/j.jmaa.2012.01.001

来源: Elsevier

【 摘 要 】

In this paper we prove the Poincare Lemma for circulant matrices with C-infinity entries and the Mittag-Leffler theorem for Hermitian monogenic matrix functions. We then prove algebraic and topological duality theorems for Hermitian monogenic matrix functions. Finally, we use one of these duality theorems to characterize the C-2n-module H(K)', where H denotes the sheaf of Hermitian monogenic functions. These results extend and clarify those obtained in R. Abreu-Blaya et al. (2012) [1]. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free