caa a22 4500 467939470 CHVBK 20180406153008.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-004-7625-0 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7625-0 A characterization of L p(ℝ) by local trigonometric bases with 1< p <∞ [Elektronische Daten] [Qiaofang Lian, Yongge Wang, Dunyan Yan] We show that the local trigonometric bases introduced by Malvar, Coifman and Meyer constitute bases, but not unconditional bases, for Lp(ℝ) with 1<p<∞, p≠2. In addition, we characterize the functions in Lp(ℝ) for 1<p<∞ in terms of their local trigonometric basis coefficients. Springer, 2006 local trigonometric bases nationallicence bell functions nationallicence unconditional bases nationallicence Lian Qiaofang Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut Wang Yongge Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut Yan Dunyan School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, 100039, Beijing, P. R. China aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 91-104 1019-7168 25:1-3<91 2006 25 10444 https://doi.org/10.1007/s10444-004-7625-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7625-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lian Qiaofang Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut NATIONALLICENCE 700 1- Wang Yongge Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut NATIONALLICENCE 700 1- Yan Dunyan School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, 100039, Beijing, P. R. China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 91-104 1019-7168 25:1-3<91 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer