Spectrality of Moran-Sierpinski Measures

发布时间：2024-05-13 作者：77779193永利集团浏览次数：

Speaker:	邓起荣	DateTime:	2024年05月20日（周一）上午10:00-11:00
Brief Introduction to Speaker: 邓起荣，福建师范大学教授，博士生导师。主要研究方向为分形几何。在 Adv. Math., JFG, JFA, Studia math.，Nonlinearity，JMAA，Sci. China Series A 等刊物上发表论文40余篇。多次主持和参与国家基金面上项目。		Place:	6号楼二楼报告厅
Abstract:Let be integral matrices such that the infinite convolution of Dirac measures with equal weights is a probability measure with compact support, where is the Sierpinski digit. We prove that there exists a set such that the family is an orthonormal basis of if and only if for under some metric conditions on .