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A prediction problem in L2(w)
Title: | A prediction problem in L2(w) |
Authors: | Pourahmadi, Mohsen Browse this author | Inoue, Akihiko Browse this author | Kasahara, Yukio Browse this author |
Issue Date: | 2007 |
Publisher: | American Mathematical Society |
Journal Title: | Proceedings of he American Mathematical Society |
Volume: | 135 |
Issue: | 4 |
Start Page: | 1233 |
End Page: | 1239 |
Abstract: | For a nonnegative integrable weight function w on the unit circle T, we provide an expression for p = 2, in terms of the series coefficients of the outer function of w, for the weighted Lp distance inff ∫T |1 − f|pwdμ,| where μ is the normalized Lebesgue measure and f ranges over trigonometric polynomials with frequencies in [{. . . ,−3,−2,−1}\{−n}]∪{m}, m ≥ 0, n ≥ 2. The problem is open for p ≠2. |
Rights: | “First published in Proceedings of the American Mathematical Society in volume 135-4, 2007, published by the American Mathematical Society” |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/18895 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 井上 昭彦
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