搜索:
 
 当前位置:>首页 -> 学术报告
9-09国家数学与交叉科学中心合肥分中心报告【Paula Cerejeiras】
报告题目:  Reproducing Kernel Hilbert Spaces and Gleason’s problem in fractional Clifford analysis

报告人: Paula Cerejeiras

时间:9月9日下午3:00—4:00

地点:管理科研楼1318教室

摘要:
Fractional calculus - as already suggested by Leibniz - has seen an increasing interest since it allows for a more accurate description of numerous physical problems by providing new degrees of freedom which can be used for a more complete characterization of a given object or additional encoding parameters. In this talk we present a general framework for a function theory based on fractional Cauchy-Riemann operators. Using suitable basic monogenic powers and associated Fueter series we study the Gleason’s problem and establish reproducing kernel Hilbert spaces, like the Drury-Arveson space and de Branges-Rovnyak space. This allows for a counterpart of the Beurling-Lax theorem in the fractional Clifford-Arveson space. Moreover, a characterization of Schur-Agler classes is given. 

欢迎广大师生参加!
  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会