1997/11/30 by Alexander S. Szalay, Takahiko Matsubara, Stephen D. Landy · 8 citations
Mathematics · Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics #Computer science #Correlation function (quantum field theory) #Eigenvalues and eigenvectors #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Geometry #Ideal (ethics) #Limit (mathematics) #Mathematical analysis #Mathematics #Measure (data warehouse) #Physics #Plane (geometry) #Quantum mechanics #Redshift #Redshift survey #Redshift-space distortions #Scientific Research and Discoveries #Space (punctuation) #Spectral density #Statistics #astro-ph
paper · pdf · doi:10.1086/311293
11 pages including 2 figures. Accepted ApJL
arxiv created 1997/11/30 · openalex publication_date 1998/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a novel two-dimensional coordinate system, we have derived a particularly simple way to express the redshift distortions in galaxy redshift surveys with arbitrary geometry in closed form. This method provides an almost ideal way to measure the value of β=Ω 0.6 0 / b in wide area surveys, since all pairs in the survey can be used for the analysis. In the limit of small angles, this result straightforwardly reduces to the plane-parallel approximation. This expansion can also be used together with more sophisticated methods such as the calculation of Karhunen-Loève eigenvectors in redshift space for an arbitrary survey geometry. Therefore, these results should provide more precise methods in which to measure the large-scale power spectrum and the value of β simultaneously.