Conformally Invariant Quantization at Order Three期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Conformally Invariant Quantization at Order Three

Authors:	Djounga S. E. Loubon

Affiliation:	(1) CNRS, Centre de Physique Théorique, Luminy, Case 907, F13288 Marseille Cedex 9, France

Abstract:	Let (M, g) be a pseudo-Riemannian manifold and $mathcal{F}_{lambda } (M)$ the space of densities of degree on M. Denote $mathcal{D}_{{lambda ,}mu }^k (M)$ the space of differential operators from $mathcal{F}_{lambda } (M)$ to $mathcal{F}_mu (M)$ of order k and S_k with = – the corresponding space of symbols. We construct (the unique) conformally invariant quantization map $Q_{{lambda ,}mu }^3 :S_delta ^3 to mathcal{D}_{{lambda ,}mu }^3$ . This result generalizes that of Duval and Ovsienko.

Keywords:	clusters Gaussian kernels radial basis function networks width scaling factor
本文献已被 SpringerLink 等数据库收录！