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On wavelets related to the Walsh series
Authors:Yu.A. Farkov  
Affiliation:aHigher Mathematics and Mathematical Modelling Department, Russian State Geological Prospecting University, 23, Ulitsa Miklukho - Maklaya, Moscow 117997, Russia
Abstract:For any integers p,n≥2 necessary and sufficient conditions are given for scaling filters with pn many terms to generate a p-multiresolution analysis in View the MathML source. A method for constructing orthogonal compactly supported p-wavelets on View the MathML source is described. Also, an adaptive p-wavelet approximation in View the MathML source is considered.
Keywords:Walsh–  Fourier transform   Lacunary Walsh series   Orthogonal   mml9"  >  text-decoration:none   color:black"   href="  /science?_ob=MathURL&_method=retrieve&_udi=B6WH7-4TWCGFF-4&_mathId=mml9&_user=10&_cdi=6843&_rdoc=19&_acct=C000054348&_version=1&_userid=3837164&md5=f7fcbf125e0bab3c6ca77a7746722a15"   title="  Click to view the MathML source"   alt="  Click to view the MathML source"  >p-wavelets   Multifractals   Stability   Adapted wavelet analysis
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