108340 20230519145410.0 doi 10.3390/fractalfract5020042 sideral 125039 ART-2021-125039 eng Navascués Sanagustín, María Antonia Universidad de Zaragoza (orcid)0000-0003-4847-0493 Fractal frames of functions on the rectangle 2021 Access copy available to the general public Unrestricted In this paper, we define fractal bases and fractal frames of L2(I   J), where I and J are real compact intervals, in order to approximate two-dimensional square-integrable maps whose domain is a rectangle, using the identification of L2(I   J) with the tensor product space L2(I) NL2(J). First, we recall the procedure of constructing a fractal perturbation of a continuous or integrable function. Then, we define fractal frames and bases of L2(I   J) composed of product of such fractal functions. We also obtain weaker families as Bessel, Riesz and Schauder sequences for the same space. Additionally, we study some properties of the tensor product of the fractal operators associated with the maps corresponding to each variable. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.577 2021 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 18 / 108 = 0.167 2021 Q1 T1 0.644 2021 Statistical and Nonlinear Physics 2021 Q2 Analysis 2021 Q2 2.8 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mohapatra, Ram Akhtar, Md Nasim 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 5, 42 (2021), [15 pp.] Fractal fract. Fractal and fractional 2504-3110 501545 http://zaguan.unizar.es/record/108340/files/texto_completo.pdf Versión publicada 2763719 http://zaguan.unizar.es/record/108340/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:108340 articulos driver 2023-05-18-13:54:15 ARTICLE