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.

Збережено в:
Бібліографічні деталі
Дата:2014
Автор: Xu, Y.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146835
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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Резюме: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.