国家自然科学基金(41076125)

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Decomposition and Approximation of Multivariate Functions on the Cube
《Acta Mathematica Sinica,English Series》2013年第1期119-136,共18页Zhi Hua ZHANG 
Supported by Fundamental Research Funds for the Central Universities(Key Program);National Natural Science Foundation of China(Grant No.41076125);973 project(Grant No.2010CB950504);Polar Climate and Environment Key Laboratory
In this paper, we present a decomposition method of multivariate functions. This method shows that any multivariate function f on [0, 1]d is a finite sum of the form ∑jФjψj, where each Фj can be extended to a smoo...
关键词：Decomposition of multivariate functions approximation of multivariate functions fundamental polynomial projection operator classification of boundary points 
Improved significance testing of wavelet power spectrum near data boundaries as applied to polar research
《Advances in Polar Science》2011年第3期192-198,共7页ZHANG ZhiHua John C Moore 
partially supported by the National Key Science Program for Global Change Research (Grant no.2010CB950504);the National High-Technology Research & Development Program of China (863 Program,Grant no.2010AA012305);the National Natural Science Foundation of China(Grant no.41076125);the Fundamental Research Funds for the Central Universities (Key Program);the Polar Climate and Environment Key Laboratory
When one applies the wavelet transform to analyze finite-length time series, discontinuities at the data boundaries will distort its wavelet power spectrum in some regions which are defined as a wavelength-dependent c...
关键词：Wavelet power spectrum significance testing Greenland winter temperature Baltic sea ice 
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