2) ω -ultradifferentiable functions
ω-超可微函数空间
1.
In the paper, the convolution of ω -ultradifferentiable functions is discussed, and a result that D(RN) is the operator space of ε*(RN) in the sense of convolution is proven.
本为利用Fourier-laplace变换对ω-超可微函数空间上的卷积运算进行了讨论,证明了在卷积意义下D(RN)是ε*(RN)的乘子空间。
3) ultradifferentiable functions
超可微函数
1.
In the paper,some regularization properties of ω-ultradifferentiable functions D(w)(Rn) and ω-ultradistributions D′(w)(Rn) are discussed.
文章讨论了ω-超可微函数空间D′(ω)(Rn)和ω-超广义函数空间D(ω)(Rn)中的一些正则化性质,证明了当ε→0时,Tε=T*αε→T(D′(ω)Rn)。
4) ω-ultradistributions
ω-超广义函数
1.
The Properties and criteria of ω-ultradistributions D~′*;
ω-超广义函数空间D′*的性质及其判别定理
5) ω-computable functions
ω-可计算函数
1.
In this paper we discuss the stability of ω-Turing machines and give a definition for ω-computable functions defined on the set of all infinite strings of a finite alphabet.
在这篇文章里我们讨论ω-Turing机的稳定性并且定义了在一个有限字母表的全体无限序列上的ω-可计算函数,我们也证明了ω-可计算函数的复合函数也是ω-可计算的。
6) differentiable function
可微函数
1.
Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.
介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法 ,指出了有关文献中推导过程的不
2.
In this paper, we give a generic condition of differentiable functions on noncompact complete Rie- mannian manifold.
本文给出了比文[4]更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。
3.
This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P(Ω n),then the series ∑∞k=0Y kf(x) converges uniformly to f.
讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性 ,其中指出 :设f是Hrp(Ωn)上 2 ( [n4 ]+1)次连续可微函数 ,则级数∑∞k =0 Ykf(n)一致收敛到f 参
补充资料:可微函数
可微函数
dnTerentiabte function
可微函数【曲胶“”山ble肠Ilr坟.1;皿“中中e一e“明“pyeMaa中y“K明“,] 具有微分(difTerential)的函数.张鸿林译
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