Multiwavelets in the generalized Sobolev space HWω(Rn)

Authors:
R. S. Pathak;Gireesh Pandey;Ryuichi Ashino
Affiliations:
Department of Mathematics, Banaras Hindu University, Varanasi - 221 005, India;Department of Mathematics, Banaras Hindu University, Varanasi - 221 005, India;Division of Mathematical Sciences, Osaka Kyoiku University, Osaka, 582-8582, Japan
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

A class of r-regular multiwavelets is introduced with appropriate notation and definitions in H"W^@w(R^n). The oscillation properity of the orthonormal system is obtained. A multiresolution analysis for multiwavelets is defined in H"W^@w(R^n). Orthonormality conditions for multiscaling functions and multiwavelets are obtained. A multiwavelet expansion formula of Riesz potentials is given.