Generalized Convolution Theorems for Quaternion Linear Canonical Transforms and Their Applications高洁欣(澳门大学)报告时间:14:00-15:00,2025-06-19(星期四)报告地点:沙河校区E806内容简介:The Quaternion Linear Canonical Transform (QLCT) is a powerful mathematical tool that extends the classical Linear Canonical Transform (LCT) to quaternion-valued signals, offering enhanced capabilities in...
北航数学论坛学术报告微分几何讨论班(2025秋第10讲)Recent progress on degenerate complex Monge-Ampère equations on compact Hermitian manifolds报告人:汪志威 教授(北京师范大学)时间:2025年6月26日(周四) 10:00-11:00地点:沙河主E806摘要:In this talk, we will introduce our recent progress on degenerate complex Monge-Ampère equations on compact Hermitian manifolds, which consists of the following...
北航数学论坛学术报告Approximate Boundaries of Arnold Tongue张伟年(四川大学)报告时间:2025年6月27日 星期五 下午16:00-17:00报告地点:学院路校区新主楼F426报告摘要:An Arnold tongue of a planar map is a region of parameters in which periodic orbits appear on the invariant circle arising from the Hopf (Neimark-Sacker) bifurcation. Although conditions were given for the existence of those tongues...
北航数学论坛学术报告--- 分析、偏微分方程与动力系统讨论班(2025春季第15讲)Refined Eigenfunction Restriction Estimates on Riemannian Surfaces席亚昆(浙江大学)时间:2025年06月23日(周一)下午16:00-17:00 地点:沙河主楼 E806摘要:We refine the Lp restriction estimates for Laplace eigenfunctions on Riemannian surfaces, originally due to Burq, Gérard, and Tzvetkov. Our approach, based on variable-coef...
北航数学论坛学术报告--- 分析、偏微分方程与动力系统讨论班(2025春季第14讲)Fourier级数的收敛与求和刘和平(北京大学)时间:2025年06月23日(周一)上午10:00-11:00 地点:沙河主楼 E806摘要:Bochner-Riesz平均是多元调和分析的核心课题,现代调和分析四大著名猜想之一是Bochner-Riesz平均猜想。我们首先回顾一元Fourier级数收敛与求和的经典结果,然后介绍多元Fourier级数与双线性Foourier级数的有关结果,包括一些最新进...
北航数学论坛学术报告--- 分析、偏微分方程与动力系统讨论班(2025春季第13讲)A few sharp estimates of harmonic functions with applications to Steklov eigenfunctions张城(清华大学)时间:2025年06月19日(周四)下午16:00-17:00地点:学院路老主楼105摘要: On smooth compact manifolds with smooth boundary, we first establish the sharp lower bounds for the restrictions of harmonic functions in terms of their...