IJPAM: Volume 75, No. 4 (2012)
Department of Mathematics
Guru Nanak Dev University
Amritsar, 143005, INDIA
Abstract. Xia and Suter  have introduced the notion of vector valued multiresolution analysis on real line . Chen and Chang  have given an algorithm for construction of vector valued wavelets. Farkov  has studied the notion of multiresolution analysis on locally abelian groups and constructed the compactly supported orthogonal p-wavelets on . In this paper, we introduce vector valued multiresolution p-analysis on positive half line. We find necessary and sufficient condition for the existence of associated vector valued wavelets. We construct vector valued wavelets on . Our approach is connected with Walsh-Fourier theory.
Received: December 6, 2011
AMS Subject Classification: 42A38, 42A55, 42C10, 42C15, 42C40
Key Words and Phrases: multiresolution -analysis, Walsh function, Walsh-Fourier transform, orthogonal vector valued wavelets
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395