Fourier matrices and Fourier tensors

来源 :中国数学前沿 | 被引量 : 0次 | 上传用户:john20002000
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
The Fourier matrix is fundamental in discrete Fourier transforms and fast Fourier transforms.We generalize the Fourier matrix,extend the concept of Fourier matrix to higher order Fourier tensor,present the spectrum of the Fourier tensors,and use the Fourier tensor to simplify the high order Fourier analysis.
其他文献
We investigate periodic solutions of regime-switching jump diffusions.We first show the well-posedness of solutions to stochastic differential equations corresponding to the hybrid system.Then,we derive the strong Feller property and irreducibility of the
采用先分析后逐层深入的方法,对福泉市英坪磷矿区水文地质条件进行了分析,选择矿区南风竖井工程附近断层、节理裂隙等发育的富水区域,采用大口径钻孔抽排地下水,利用抽排形成的补给漏斗对地下水静水压力、水位、补径排等进行干预,摸清了矿区地下水补径排规律,查明了造成深部采掘工程施工突水的主要因素及途径。研究认为,在断裂和节理裂隙发育的富水区进行大口径钻孔抽排可达到抽排疏干效果,能够较好地解决突水危害,是治理矿山突水危害十分有效的措施。该防治技术方法在该地区类似矿山建设中具有较大的推广意义。
关中盆地浅层地热能资源十分丰富,但目前开采程度仍有待提高。土壤的热物理性质在很大程度上决定了其工程特性,对浅层地热能在开发利用过程中所涉及的基本理论和开发方法等具有较大影响。通过室内试验对西安市、咸阳市、渭南市和宝鸡市范围内的粉质黏土的热物理性质开展研究,对试验数据进行了分析,进而揭示了粉质黏土比热容、导温系数和热导率的宏观变化规律。结果表明粉质黏土的热导率为0.82~2.65 W/(m·K),导温系数为0.00128~0.00486 m2/h,比热容为0.77~1.53 kJ/(k
Suppose that the underlying field is of characteristic different from 2 and 3.We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions of L,up to equivale
矿山正常的生产经营活动势必形成一定的矿山地质环境问题.为全面贯彻生态文明思想,牢固树立“绿水青山就是金山银山”的理念,按照恢复生态、兼顾景观总体要求,因地制宜、多措并举,扎实开展废弃露天矿山地质环境修复.依据矿山地质环境保护与恢复的相关规范与要求,以汶川某废弃露天矿山为例,从矿山环境角度介绍了矿山地质环境的影响因素,开展矿山斜坡整体稳定性、采场边坡稳定性、弃渣堆稳定性及地形地貌景观破坏等地质环境影响评价,划分治理重点、次重点和一般3个基本的矿山地质环境保护与恢复防治区.结果表明:矿山斜坡及弃渣堆现状基本稳
This paper is a subsequent work of[Invent.Math.,2013,191:197-253].The second fundamental theorem in Ahlfors covering surface theory is that,for each set Eq of q (≥ 3) distinct points in the extended complex plane(C),there is a minimal positive constant H0
We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection.Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomolo
We present upper bounds of eigenvalues for finite and infinite dimensional Cauchy-Hankel tensors.It is proved that an m-order infinite dimensional Canchy-Hankel tensor defines a bounded and positively (m-1)-homogeneous operator from l1 into lp (1 < p < ∞)
By using the perpetual cutoff method,we prove two discrete versions of gradient estimates for bounded Laplacian on locally finite graphs with exception sets under the condition of CDE\'(K,N).This generalizes a main result of F.Münch who considers the ca