报告题目：Discrete function theory: boundary values and Hardy spaces

报告人：Paula Cerejeiras副教授， 葡萄牙阿维罗大学数学系

报告时间： 2013年6月24日  星期一  3：00-4：00pm

报告地点： 管理科研楼1518教室

摘要：

In the last decade one can observe an increasing interest in discrete coun-
terparts for known continuous structures. While such ideas are very much
developed in the complex case they are quite underdeveloped in the higher-
dimensional case is yet underdeveloped. In fact, the development of genuinely
function theoretical methods only started quite recently. In this talk we study
the boundary behavior of discrete null-solutions of a discrete Dirac operator
in the upper lower half space. By calculation of the Fourier symbol of the
boundary operator we construct the corresponding discrete Hilbert trans-
forms, the projection operators arising from them, and discuss the notion of
discrete Hardy spaces.

主办单位:  中国科学技术大学数学科学学院          中科院吴文俊数学重点实验室

 
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