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| Title: | Nonuniform multiwavelet sets and multiscaling sets |
| Authors: | Shukla, Niraj Kumar |
| Keywords: | Functional analysis;Mathematical techniques;Generalized scaling sets;Multi-wavelets;Multiscaling;Multiwavelet;Non-uniform multi-resolution analysis;Spectral pairs;Multiresolution analysis |
| Issue Date: | 2016 |
| Publisher: | Taylor and Francis Inc. |
| Citation: | Mittal, S., Shukla, N. K., & Atlouba, N. A. S. (2016). Nonuniform multiwavelet sets and multiscaling sets. Numerical Functional Analysis and Optimization, 37(2), 253-276. doi:10.1080/01630563.2015.1110592 |
| Abstract: | In this article, we study the theory of nonuniform minimally supported frequency multiwavelets and nonuniform multiscaling sets. A characterization of nonuniform multiwavelet sets is obtained which generalizes a result of Yu and Gabardo. After introducing a notion of generalized nonuniform scaling set, we obtain a characterization of nonuniform multiscaling sets associated with nonuniform multiresolution analysis having finite multiplicity. In addition, we provide a geometric construction to find families of symmetric nonuniform multiwavelet sets. © 2016 Taylor & Francis Group, LLC. |
| URI: | https://doi.org/10.1080/01630563.2015.1110592 https://dspace.iiti.ac.in/handle/123456789/6687 |
| ISSN: | 0163-0563 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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