Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
Finite tight frames for polynomial subspaces are constructed using monic Hahn polynomials and Krawtchouk polynomials of several variables. Based on these polynomial frames, two methods for constructing tight frames for the Euclidean spaces are designed.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146835 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables / Y. Xu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862644208249077760 |
|---|---|
| author | Xu, Y. |
| author_facet | Xu, Y. |
| citation_txt | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables / Y. Xu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Finite tight frames for polynomial subspaces are constructed using monic Hahn polynomials and Krawtchouk polynomials of several variables. Based on these polynomial frames, two methods for constructing tight frames for the Euclidean spaces are designed.
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| first_indexed | 2025-12-01T08:44:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146835 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T08:44:16Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Xu, Y. 2019-02-11T16:51:28Z 2019-02-11T16:51:28Z 2014 Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables / Y. Xu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 19 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C50; 42C1 DOI:10.3842/SIGMA.2014.019 https://nasplib.isofts.kiev.ua/handle/123456789/146835 Finite tight frames for polynomial subspaces are constructed using monic Hahn polynomials and Krawtchouk polynomials of several variables. Based on these polynomial frames, two methods for constructing tight frames for the Euclidean spaces are designed. The work was supported in part by NSF Grant DMS-1106113. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables Article published earlier |
| spellingShingle | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables Xu, Y. |
| title | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables |
| title_full | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables |
| title_fullStr | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables |
| title_full_unstemmed | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables |
| title_short | Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables |
| title_sort | tight frame with hahn and krawtchouk polynomials of several variables |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146835 |
| work_keys_str_mv | AT xuy tightframewithhahnandkrawtchoukpolynomialsofseveralvariables |