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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures
正交投影 混合范数 度量维度 分析插值
2023/5/5
We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Analytic torsion Reidemeister torsion hyperbolic 3-manifolds cusps Spectral Theory
2012/6/14
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of ...
An analytic approach to the stratified Morse inequalities for complex cones
complex cones stratified Morse inequalities Differential Geometry
2011/8/30
Abstract: In a previous article the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The meth...