On Toeplitz-type Operators Related to Wavelets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

按检索

On Toeplitz-type Operators Related to Wavelets

Authors:	Ondrej Hutník

Institution:	(1) Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University, Jesenná 5, 041 54 Košice, Slovakia

Abstract:	Let G be the “ax + b”-group with the left invariant Haar measure dν and ψ be a fixed real-valued admissible wavelet on $L_{2}({\mathbb{R}})$ . The structure of the space of Calderón (wavelet) transforms $W_{\psi} (L_{2}({\mathbb{R}}))$ inside $L_{2}(G, d\nu)$ is described. Using this result some representations, properties and the Wick calculus of the Calderón-Toeplitz operators T _α acting on $W_{\psi}(L_{2}({\mathbb{R}}))$ whose symbols a = a(ζ) depend on $v = \Im\zeta$ for $\zeta \in G$ are investigated. This paper was supported by Grant VEGA 2/0097/08.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 46E22 47B35 Secondary 42C40
本文献已被 SpringerLink 等数据库收录！