标题： 红移空间聚类：线性理论 显示英文标题

标题： Clustering in Redshift Space: Linear Theory

摘要： 在此文中，我们首次在引力不稳定性的框架内研究了红移空间中的聚类现象。由于星系的peculiar速度引入的畸变，在傅里叶空间中导致了星系分布的各向异性和模式间耦合。文中给出了实空间和傅里叶空间中完整协方差矩阵的精确线性计算。计算了对$\Omeg$和偏置参数的显式依赖，并分析了其作为探测这些参数的探针的潜在用途。结果表明，凯撒的形式主义只能应用于在天空中占据小立体角的数据集，因此不能用于全天球调查的情况。对于{\it CDM}模型，明确计算了实空间中的协方差矩阵，在该模型中展示了视线方向上和平行于视线方向的行为。 显示英文摘要

摘要： The clustering in redshift space is studied here to first order within the framework of gravitational instability. The distortion introduced by the peculiar velocities of galaxies results in anisotropy in the galaxy distribution and mode-mode coupling when analyzed in Fourier space. An exact linear calculation of the full covariance matrix in both the real and Fourier space is presented here. The explicit dependence on $\Omeg$ and the biasing parameter is calculated and its potential use as a probe of these parameters is analyzed. It is shown that Kaiser's formalism can be applied only to a data set that subtends a small solid angle on the sky, and therefore cannot be used in the case of all sky surveys. The covariance matrix in the real space is calculated explicitly for {\it CDM} model, where the behavior along and perpendicular to the line of sight is shown.