【摘要】 利用Shannon-Nyquist采样定理的思想,本文给出带有限Lp函数类的一个刻画,并且利用这个刻画得到Schr¨odinger方程的若干估计,如Strichartz型和倒时空Strichartz估计等,同时也给出若干已知估计的简单证明.更多还原

【Abstract】 Using the ideas of Shannon-Nyquist sampling theorem, we give a characterization for the bandlimited Lpfunctions. As applications, we obtain some new estimates for the Schr¨odinger equation such as Strichartz type estimate and reverse Strichartz type estimate, and simple proof for some known estimates.更多还原