Multivariate box spline wavelets in higher-dimensional Sobolev spaces

Journal of Inequalities and Applications

Raj Kumar¹  Manish Chauhan² 

[1] Department of Mathematics, Kirori Mal College, University of Delhi;Department of Mathematics, University of Delhi;

关键词: Wavelets;    Box Splines;    Multiresolution analysis;    Sobolev space;   

DOI  :  10.1186/s13660-018-1839-z

来源: DOAJ

【 摘 要 】

Abstract We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in Hs(Rd) $H^{s}(\mathbb {R}^{d})$. We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multivariate box spline.

【 授权许可】

Unknown