Coriasco, A Su¨ ß. On temperate distributions decaying at infinity (2016), to appear in Volume: Generalized functions and Fourier analysis, Series: "Operator Theory: Advances and Applications" (Editors: M.Oberguggenberger, J.Toft, J.Vindas, P.Wahlberg), Birkha¨ user/Springer...
A Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines. Fourier series make use of the orthogonality relationships of the sine and cosine functions. The computation and study of Fourier series is known as harmonic analysis and is extremely ...
This chapter extends the Fourier transform to the realm of generalized functions or distributions, enhancing its ability to handle a wider range of mathematical constructs. It begins by highlighting the Fourier transform’s universality and application to functions that decrease rapidly, paving the way ...
网络广义傅里叶分析 网络释义 1. 广义傅里叶分析 ... generalized Fick's law 广义菲克定律generalized Fourier analysis广义傅里叶分析generalized function 广义函数 ... www.oilnews.com.cn|基于20个网页
generalized adj. 一般化 analysis n. 1.[U,C]分析(对事物的各个部分及其相互关系的研究) 2.[C]分析结果的报告 3.[U]精神分析 electro analysis 电解分析 micro analysis 微观分析,微量分析,显微分析 self analysis 自我分析 express analysis 快速分析 multi analysis 多方面分析,全面分析 nucleo analy...
The proposed procedure based on Fourier analysis techniques can be regarded as a generalization and further development of methods described in the literature. The geometry of the particles is characterized by a set of shape functions which is invariant under translation, rotation and dilation. Shape ...
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2) generalized Fourier integral 广义傅里叶积分3) Extended fractional fourier transform 广义分数傅里叶变换4) fourier analysis 傅里叶分析 1. Feature extraction arithmetic researching based on Fourier analysis in optical correlation recognition; 光学相关识别中基于傅里叶分析的特征提取算法研究 2. ...
Fourier analysis depends on the property of any time-varying physical variable (ξ) that it can be described mathematically as the sum of sine, cosine, and exponential functions of frequency (5.7)ξ(t)=∑n=1∞ξn(ω)exp(iωnt). The coefficients ξn(ω) are called the Fourier coefficient...
Á. Száz, On the structure of generalized functions derived from the convolutionD-module ℰ,Glasnik Math.,16 (1981), 287–296. Google Scholar Á. Száz, On the continuity of quotient multipliers,Mat. Vesnik, to appear. F. Treves,Topological vector spaces, distributions and kernels, ...