caa a22 4500 60616605X CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10440-014-9959-z doi (NATIONALLICENCE)springer-10.1007/s10440-014-9959-z Multiresolution Expansions of Distributions: Pointwise Convergence and Quasiasymptotic Behavior [Elektronische Daten] [Sanja Kostadinova, Jasson Vindas] In several variables, we prove the pointwise convergence of multiresolution expansions to the distributional point values of tempered distributions and distributions of superexponential growth. The article extends and improves earlier results by G.G. Walter and B.K. Sohn and D.H. Pahk that were shown in one variable. We also provide characterizations of the quasiasymptotic behavior of distributions at finite points and discuss connections with α-density points of measures. Springer Science+Business Media Dordrecht, 2014 Multiresolution analysis (MRA) nationallicence Pointwise convergence of multiresolution expansions nationallicence Quasiasymptotics nationallicence α -density points nationallicence Distributions of superexponential growth nationallicence Tempered distributions nationallicence Regularly varying functions nationallicence Asymptotic behavior of generalized functions nationallicence Kostadinova Sanja Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Rugjer Boshkovik bb, 1000, Skopje, Macedonia aut Vindas Jasson Department of Mathematics, Ghent University, Krijgslaan 281 Gebouw S22, B 9000, Gent, Belgium aut Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 115-134 0167-8019 138:1<115 2015 138 10440 https://doi.org/10.1007/s10440-014-9959-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9959-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kostadinova Sanja Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Rugjer Boshkovik bb, 1000, Skopje, Macedonia aut NATIONALLICENCE 700 1- Vindas Jasson Department of Mathematics, Ghent University, Krijgslaan 281 Gebouw S22, B 9000, Gent, Belgium aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 115-134 0167-8019 138:1<115 2015 138 10440