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국소성과 프레임
- Alternative Title
- Ju-Yeon Ryu
- Author(s)
- 류주연
- Alternative Author(s)
- Ju-Yeon Ryu
- Advisor
- 하영화
- Department
- 일반대학원 수학과
- Publisher
- The Graduate School, Ajou University
- Publication Year
- 2006-02
- Language
- eng
- Alternative Abstract
- Localization of sequences with respect to Riesz bases for Hilbert spaces are comparable with perturbation of Riesz bases or frames. Gr\"{o}chenig first introduced the notion of localization. In this thesis, we introduce more general definition of localization and show that exponentially localized sequences and polynomially localized sequences with respect to Riesz bases are Bessel sequences. Furthermore, they are frames provided some additional conditions are satisfied.
- Fulltext
- Appears in Collections:
- Graduate School of Ajou University > Department of Mathematics > 3. Theses(Master)
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