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A prediction problem in L2(w)

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/18895

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)

Submitter: 井上 昭彦

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