Chapter 15 of Ramanujan's Second Notebook: Part 2, Modular forms
Bruce Berndt, Ronald Evans (1986)
Acta Arithmetica
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Displaying similar documents to “Non-similarity of Walsh and trigonometric systems”
Chapter 15 of Ramanujan's Second Notebook: Part 2, Modular forms
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.
About an estimation problem of Zahorski
P. Erdös (1960)
Colloquium Mathematicae
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On the estimation of Cesàro means of orthonormal series
J. Meder (1958)
Annales Polonici Mathematici
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A note on a Theorem of Ermakov
Mazhar, S.M., Al-Budaiwi, Aisha (1987)
Portugaliae mathematica
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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...
An application of Kloosterman sums
Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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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].