A prediction problem in L 2 ( w ) L^2 (w) Academic Article uri icon

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 |1-f|pwd, where is the normalized Lebesgue measure and f ranges over trigonometric polynomials with frequencies in [{.,-3,-2,-1}{-n}]u{m}, m 0, n = 2. The problem is open for p = 2. 2006 American Mathematical Society.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Pourahmadi, M., Inoue, A., & Kasahara, Y.

citation count

  • 7

complete list of authors

  • Pourahmadi, Mohsen||Inoue, Akihiko||Kasahara, Yukio

publication date

  • April 2007