{"paper":{"title":"About the connection between the $C_{\\ell}$ power spectrum of the Cosmic Microwave Background and the $\\Gamma_{m}$ Fourier spectrum of rings on the sky","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. Bourrachot, F. Couchot, F. Touze, G. Le Meur, J. Ha\\\"issinski, M. Piat, O. Perdereau, R. Ansari, S. Bargot, S. Henrot-Versill\\'e, S. Plaszczynski","submitted_at":"2003-01-14T13:21:42Z","abstract_excerpt":"In this article we present and study a scaling law of the $m\\Gamma_m$ CMB Fourier spectrum on rings which allows us (i) to combine spectra corresponding to different colatitude angles (e.g. several detectors at the focal plane of a telescope), and (ii) to recover the $C_l$ power spectrum once the $\\Gamma_m$ coefficients have been measured. This recovery is performed numerically below the 1% level for colatitudes $\\Theta> 80^\\circ$ degrees. In addition, taking advantage of the smoothness of the $C_l$ and of the $\\Gamma_m$, we provide analytical expressions which allow to recover one of the spec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0301251","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}