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Wavelets in function spaces on Lipschitz domains
Author(s) -
Triebel Hans
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510547
Subject(s) - lipschitz continuity , mathematics , wavelet , bounded function , pure mathematics , lipschitz domain , function (biology) , mathematical analysis , discrete mathematics , artificial intelligence , computer science , evolutionary biology , biology
The spaces $ B^s_{pq} $ (ℝ n ) and $ F^s_{pq} $ (ℝ n ) can be characterized in terms of Daubechies wavelets for all admitted parameters s , p , q . The paper deals with related intrinsic wavelet frames (which are almost orthogonal bases) in corresponding (sub‐)spaces on bounded Lipschitz domains under some restrictions for the parameters. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)