Computational harmonic analysis, new development of approximation
| Project/Area Number |
20540183
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Tokyo Metropolitan University |
|---|
Principal Investigator |
OKADA Masami Tokyo Metropolitan University, 大学院・理工学研究科, 教授 (00152314)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
小澤 一文 秋田県立大学, システム科学技術学部, 教授 (20100753)
上野 敏秀 自治医科大学, 医学部, 研究員 (40381446)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
KURATA Kazuhiro 首都大学東京, 大学院・理工学研究科, 教授 (10186489)
YOSHITOMI Kazushi 首都大学東京, 大学院・理工学研究科, 准教授 (40304729)
SHIMOMURA Akihiro 首都大学東京, 大学院・理工学研究科, 助教 (00365066)
OZAWA Kazufumi 秋田県立大学, システム科学技術学部, 教授 (20100753)
UENO Toshihide 自治医科大学, 医学部, 助教 (40381446)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2008: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
|
|---|
| Keywords | 実解析 / データ解析 / 数値解析 / サンプリング近似 / ウェイブレット解析 |
|---|
| Research Abstract |
The research topics have been the construction of various new bases including the error estimate of sampling approximation using the bases and its application to data analysis. We found new non-separable splines and their generalizations which enabled us to show that our sampling method gives approximation of not necessarily band-limited functions with good error estimates corresponding to the Besov smoothness of functions.
|
Report
(4 results)
Research Products
(16 results)
