
Let {?j}? j=1 be a sequence of distinct positive numbers. We analyze the orthogonal Dirichlet polynomials {?n,T} formed from linear combinations of {?-it,j}n j=1 , associated with constant (or Legendre) weight on [-T, T]. Thus 1/2T ? T,-T ?n,T (t) ?m,T(t)dt = ?mn. Moreover, we analyze how these polynomials behave as T varies.
Nontrigonometric harmonic analysis, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), orthogonal Dirichlet polynomials
Nontrigonometric harmonic analysis, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), orthogonal Dirichlet polynomials
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