報(bào)告題目：Szego limit theorem on Bergman spaces
報(bào)告人：馬攀副教授
報(bào)告時(shí)間：2023.12.9 14：30-15：30
報(bào)告地點(diǎn)：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院 104報(bào)告廳
報(bào)告人簡(jiǎn)介：馬攀,
中南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院副教授, 主要研究泛函分析中解析函數(shù)空間上的算子理論，獲得湖南省“三尖”創(chuàng)新人才工程荷尖人才。在《Journal of
Functional Analysis》、《Journal of Operator Theory》、《Proceedings of the
American Mathematical
Society》、《中國(guó)科學(xué)-數(shù)學(xué)》等國(guó)際重要期刊發(fā)表學(xué)術(shù)論文多篇。現(xiàn)主持國(guó)家自然科學(xué)基金-面上項(xiàng)目、湖南省自然科學(xué)基金-優(yōu)秀青年項(xiàng)目； 主持完成國(guó)家自然科學(xué)基金-青年項(xiàng)目。
報(bào)告內(nèi)容簡(jiǎn)介：
The
asymptotic behavior of the determinant of large Toeplitz matrices is
frequently described by Szego limit theorems. This theorem was
originally motivated by a question posed by Lars Onsager, which emerged
in the context of the 2-dimensional Ising Model. In this talk, we will
review some basic results on this topic and present our recent progress
for Szego limit theorem on Bergman spaces via orthogonal polynomonials.
