Spectra of rational orthonormal systems

作     者：Qiuhui Chen Pei Dang Tao Qian 

作者机构：Department of MathematicsCollege of Mathematics and InformaticsSouth China Agricultural UniversityGuangzhou510642China Faculty of Information TechnologyMacao University of Science and TechnologyMacaoChina Macao Institute of Systems EngineeringMacao University of Science and TechnologyMacaoChina 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第10期

页      面：1961-1976页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11571083,11971178 and 11701597) the starting grant of South China Agricultural University the Science and Technology Development Fund,Macao SAR(Grant Nos.154/2017/A3,079/2016/A2 and FDCT 0123/2018/A3) 

主　　题：spectral operator Laguerre and Kautz systems TM system Caley transform Heisenberg group Weyl correspondence 

摘      要：We use the Weyl correspondence approach to investigate the spectral operators of the Laguerre and the Kautz systems. We show that the basic functions in the Laguerre and the Kautz systems are the eigenvectors of modified Sturm-Liouville operators. The results are further generalized to multiple parameters of one complex variable in both the unit disc and the upper half-plane contexts.