Mathematical Sciences: Nonlinear Approximation

该奖项为研究生研究提供支持，重点研究由首席研究员调查的近似理论。首席研究员的研究得到了其他几个政府机构的支持。工作将集中在非线性逼近问题上，如小波压缩所完成的问题，并应用于信号处理。特别强调将放在多元逼近的问题，同时使用小波和有理逼近方案。其他工作涉及图像恢复，神经网络和线性逼近平移不变空间的应用。

This award provides support for graduate student research focusing on research in approximation theory under investigation by the principal investigator. The principal investigator's research is supported by several other government agencies. Work will center on problems of nonlinear approximation such as that accomplished by wavelet compression, with applications to signal processing. Particular emphasis will be placed on question of multivariate approximation using both wavelets and rationalapproximation schemes. Other work concerns applications to image restoration, neural networks and linear approximation to shift-invariant spaces.