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Displaying similar documents to “Non-similarity of Walsh and trigonometric systems”

Ideal norms and trigonometric orthonormal systems

Jörg Wenzel (1994)

Studia Mathematica

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We characterize the UMD-property of a Banach space X by sequences of ideal norms associated with trigonometric orthonormal systems. The asymptotic behavior of those numerical parameters can be used to decide whether X is a UMD-space. Moreover, if this is not the case, we obtain a measure that shows how far X is from being a UMD-space. The main result is that all described sequences are not only simultaneously bounded but are also asymptotically equivalent.

Oscillations of anharmonic Fourier series and the wave equation.

Alain Haraux, Vilmos Komornik (1985)

Revista Matemática Iberoamericana

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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 ⎧     utt + (-1)m Δmu = 0     (t,x) ∈ R x Ω ⎨ ⎩     u|Γ = ... = Δm-1 u|Γ = 0     t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

On Wiener–Hopf factors for stable processes

Piotr Graczyk, Tomasz Jakubowski (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We give a series representation of the logarithm of the bivariate Laplace exponent of -stable processes for almost all ∈ (0, 2].