caa a22 4500 463246950 CHVBK 20180405153328.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00041-006-6918-8 doi (NATIONALLICENCE)springer-10.1007/s00041-006-6918-8 Cosmological Applications of a Wavelet Analysis on the Sphere [Elektronische Daten] [J.D. McEwen, P. Vielva, Y. Wiaux, R.B. Barreiro, L. Cayón, M.P. Hobson, A.N. Lasenby, E. Martínez-González, J.L. Sanz] The cosmic microwave background (CMB) is a relic radiation of the Big Bang and as such it contains a wealth of cosmological information. Statistical analyses of the CMB, in conjunction with other cosmological observables, represent some of the most powerful techniques available to cosmologists for placing strong constraints on the cosmological parameters that describe the origin, content and evolution of the Universe. The last decade has witnessed the introduction of wavelet analyses in cosmology and, in particular, their application to the CMB. We review here spherical wavelet analyses of the CMB that test the standard cosmological concordance model. The assumption that the temperature anisotropies of the CMB are a realisation of a statistically isotropic Gaussian random field on the sphere is questioned. Deviations from both statistical isotropy and Gaussianity are detected in the reviewed works, suggesting more exotic cosmological models may be required to explain our Universe. We also review spherical wavelet analyses that independently provide evidence for dark energy, an exotic component of our Universe of which we know very little currently. The effectiveness of accounting correctly for the geometry of the sphere in the wavelet analysis of full-sky CMB data is demonstrated by the highly significant detections of physical processes and effects that are made in these reviewed works. Birkhauser Boston, 2007 McEwen J.D. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut Vielva P. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut Wiaux Y. Signal Processing Institute, Ecole Polytechnique Fédérale de Lausanne(EPFL), CH-1015 Lausanne, Switzerland aut Barreiro R.B. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut Cayón L. Department of Physics, Purdue University, 525 Northwestern Avenue, West Lafayette, IN 47907-2036, USA aut Hobson M.P. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut Lasenby A.N. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut Martínez-González E. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut Sanz J.L. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/4(2007-08-01), 495-510 1069-5869 13:4<495 2007 13 41 https://doi.org/10.1007/s00041-006-6918-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00041-006-6918-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- McEwen J.D. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut NATIONALLICENCE 700 1- Vielva P. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut NATIONALLICENCE 700 1- Wiaux Y. Signal Processing Institute, Ecole Polytechnique Fédérale de Lausanne(EPFL), CH-1015 Lausanne, Switzerland aut NATIONALLICENCE 700 1- Barreiro R.B. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut NATIONALLICENCE 700 1- Cayón L. Department of Physics, Purdue University, 525 Northwestern Avenue, West Lafayette, IN 47907-2036, USA aut NATIONALLICENCE 700 1- Hobson M.P. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut NATIONALLICENCE 700 1- Lasenby A.N. Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom aut NATIONALLICENCE 700 1- Martínez-González E. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut NATIONALLICENCE 700 1- Sanz J.L. Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain aut NATIONALLICENCE 773 0- Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/4(2007-08-01), 495-510 1069-5869 13:4<495 2007 13 41 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer