Multivariate box spline wavelets in higher-dimensional Sobolev spaces

Multivariate box spline wavelets in higher-dimensional Sobolev spaces

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 sp...

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Bibliographic Details
Main Authors: Raj Kumar, Manish Chauhan
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Wavelets
Box Splines
Multiresolution analysis
Sobolev space
Online Access:http://link.springer.com/article/10.1186/s13660-018-1839-z

Internet

http://link.springer.com/article/10.1186/s13660-018-1839-z

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