Ideal norms and trigonometric orthonormal systems

Jörg Wenzel

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Non-similarity of Walsh and trigonometric systems

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We show that in $L_{p}$ for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.

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Alain Haraux, Vilmos Komornik (1985)

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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ u_tt + (-1)^m Δ^mu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u_|Γ = ... = Δ^m-1 u_|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients

S. Kwapień (1972)

Studia Mathematica

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