Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis(Theory)
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- Tanaka Ken'ichiro
- Graduate School of Information Science and Technology, University of Tokyo
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- Sugihara Masaaki
- Graduate School of Information Science and Technology, University of Tokyo
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- Murota Kazuo
- Graduate School of Information Science and Technology, University of Tokyo
Bibliographic Information
- Other Title
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- Gauss核サンプリング公式の複素関数論による誤差評価(理論)
- Gauss核サンプリング公式の複素関数論による誤差評価
- Gaussカク サンプリング コウシキ ノ フクソ カンスウロン ニ ヨル ゴサ ヒョウカ
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Description
For a sampling formula with the sinc-Gaussian kernel Qian et al. have recently given an error estimate for the class of band-limited functions with the aid of tools from Fourier analysis. By using complex analysis, we give in this paper an error estimate for a wider class of functions. Part of the result of Qian et al. can be derived from ours as an immediate corollary. Computational results show a fairly good agreement with the theoretical convergence rates.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 17 (2), 73-95, 2007
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744494080
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- NII Article ID
- 110006317520
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 8882797
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL Search
- CiNii Articles
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- Abstract License Flag
- Disallowed