Uncertainty principles for the Fock space
报告题目：Uncertainty principles for the Fock space
报告人： 朱克和教授 STATE UNIVERSITY OF NEW YORK
报告时间：2015年6月23日（周二）下午3:30-4:30
报告地点：维格堂113
报告摘要： On the Fock space $F^2$, the operator $D$ of differentiation, $Df(z)=f‘(z)$ has a particularly simple adjoint: $D^*f(z)=zf(z)$. This gives rise to the standard commutation relation $[D,D^*]=I$, which in turn produces several interesting uncertainty principles for the Fock space. One version of the uncertainty principle says that $dist(f’+zf,[f])dist(f‘-zf,[f])ge1$ for all unit vectors $f$ in $F^2$, and it can be determined exactly when equality holds. Here $[f]$ is the one-dimensional subspace spanned by $f$. Several other versions of the uncertainty principle will be discussed as well.