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Hokkaido University Preprint Series in Mathematics >
A Prediction Problem in L 2(w)
| Title: | A Prediction Problem in L 2(w) |
| Authors: | Pourahmadi, Mohsen Browse this author | | Inoue, Akihiko Browse this author | | Kasahara, Yukio Browse this author |
| Keywords: | Duality and orthogonalization | | extremal problems | | stationary processes |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 757 |
| Start Page: | 1 |
| End Page: | 7 |
| Abstract: | For a nonnegative integrable weight function w on the unit circle , we provide an expression for p = 2, in terms of the series coefficients of he outer function of w, for the weighted Lp distance inff T 1 − f|pwdμ, here μ is the normalized Lebesgue measure and f ranges over trigonometric olynomials with frequencies in [{. . . ,−3,−2,−1}\{−n}]∪{m}, m ≥ 0, n ≥ 2. he problem is open for p = 2. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69565 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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