caa a22 4500 463247035 CHVBK 20180405153329.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00041-006-6019-8 doi (NATIONALLICENCE)springer-10.1007/s00041-006-6019-8 Prevalence of Multifractal Functions in Sv Spaces [Elektronische Daten] [Jean-Marie Aubry, Françoise Bastin, Sophie Dispa] Spaces called Sv were introduced by Jaffard [16] as spaces of functions characterized by the number ≃ 2ν(α)j of their wavelet coefficients having a size ≳ 2−αj at scale j . They are Polish vector spaces for a natural distance. In those spaces we show that multifractal functions are prevalent (an infinite-dimensional "almost-every”). Their spectrum of singularities can be computed from ν, which justifies a new multifractal formalism, not limited to concave spectra. Birkhauser Boston, 2007 Aubry Jean-Marie Laboratoire d'Analyse et de Mathématiques Appliquées, Université Paris 12, 61 av. du Général de Gaulle, 94010 Créteil Cedex, France aut Bastin Françoise Département de mathématiques, Université de Liège, Grande Traverse, 12, 4000 Liège 1, Belgium aut Dispa Sophie Département de mathématiques, Université de Liège, Grande Traverse, 12, 4000 Liège 1, Belgium aut Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/2(2007-04-01), 175-185 1069-5869 13:2<175 2007 13 41 https://doi.org/10.1007/s00041-006-6019-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00041-006-6019-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aubry Jean-Marie Laboratoire d'Analyse et de Mathématiques Appliquées, Université Paris 12, 61 av. du Général de Gaulle, 94010 Créteil Cedex, France aut NATIONALLICENCE 700 1- Bastin Françoise Département de mathématiques, Université de Liège, Grande Traverse, 12, 4000 Liège 1, Belgium aut NATIONALLICENCE 700 1- Dispa Sophie Département de mathématiques, Université de Liège, Grande Traverse, 12, 4000 Liège 1, Belgium aut NATIONALLICENCE 773 0- Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/2(2007-04-01), 175-185 1069-5869 13:2<175 2007 13 41 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer