标题： SuperFaB：球谐傅里叶-贝塞尔分解的卓越代码 显示英文标题

标题： SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition

摘要： 球面傅里叶-贝塞尔（SFB）分解是一种自然的选择，用于径向/角分离，从而可以从大规模星系巡天中提取宇宙学信息，并考虑所有宽角效应。 本文开发了一种SFB功率谱估计器，允许下一代星系巡天测量最大的角和径向模式。 该代码测量伪SFB功率谱，并考虑了掩模、选择函数、像素窗口和散粒噪声。 我们表明，局部平均效应（或积分约束）仅在最大尺度模式下显著，并提供了分析协方差矩阵。 通过在包围巡天体积的最小和最大半径处施加边界条件，该估计器不会受到过去SFB分析中已证明具有挑战性的数值不稳定问题的影响。 该估计器在简化但现实的罗马型、SPHEREx型和欧几里得型掩模和选择函数上进行了演示。 为了直观和验证，我们还研究了SFB功率谱在Limber近似下的情况。 我们发布了用Julia编写的关联公共代码。 显示英文摘要

摘要： The spherical Fourier-Bessel (SFB) decomposition is a natural choice for the radial/angular separation that allows extraction of cosmological information from large volume galaxy surveys, taking into account all wide-angle effects. In this paper we develop a SFB power spectrum estimator that allows the measurement of the largest angular and radial modes with the next generation of galaxy surveys. The code measures the pseudo-SFB power spectrum, and takes into account mask, selection function, pixel window, and shot noise. We show that the local average effect (or integral constraint) is significant only in the largest-scale mode, and we provide an analytical covariance matrix. By imposing boundary conditions at the minimum and maximum radius encompassing the survey volume, the estimator does not suffer from the numerical instabilities that have proven challenging for SFB analyses in the past. The estimator is demonstrated on simplified but realistic Roman-like, SPHEREx-like, and Euclid-like mask and selection functions. For intuition and validation, we also explore the SFB power spectrum in the Limber approximation. We release the associated public code written in Julia.