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math.FA2019
Poincar{é} and logarithmic sobolev inequalities for nearly radial measures
Patrick Cattiaux, Arnaud Guillin, Liming Wu
If Poincar{é} inequality has been studied by Bobkov for radial measures, few is known about the logarithmic Sobolev inequalty in the radial case. We try to fill this gap here using…
math.FA2019
On the -th Eigenvalue of Sturm-Liouville Problem and the Maslov Index
Xijun Hu, Lei Liu, Li Wu +1
In the previous papers \cite{HLWZ,KWZ}, the jump phenomena of the -th eigenvalue were completely characterized for Sturm-Liouville problems. In this paper, we show that the jump…
math.FA2018
Decomposition of Spectral flow and Bott-type Iteration Formula
Xijun Hu, Li Wu
Let be a continuous path of Fredhom operators, we first prove that the spectral flow is cogredient invariant. Based on this property, we give a decomposition form…