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Recovery of the Shape of the Mass Power Spectrum from the Lyα Forest
Author(s) -
Lam Hui
Publication year - 1999
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/307134
Subject(s) - physics , astrophysics , spectral density , astronomy , astrobiology , mathematics , statistics
We propose a method for recovering the shape of the mass power spectrum onlarge scales from the transmission fluctuations of the Lyman-alpha forest,which takes into account directly redshift-space distortions. The procedure, indiscretized form, involves the inversion of a triangular matrix which projectsthe mass power spectrum in 3-D real-space to the transmission power spectrum in1-D redshift-space. We illustrate the method by performing a linear calculationrelating the two. A method that does not take into account redshift-spaceanisotropy tends to underestimate the steepness of the mass power spectrum, inthe case of linear distortions. The issue of the effective bias-factor for thelinear distortion kernel is discussed.Comment: 18 pages, 4 figures; minor revision

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