On the behaviour of sine series near the origin.

Telyakovskiĭ, S.A.

Displaying similar documents to “On the behaviour of sine series near the origin.”

Average decay of Fourier transforms and geometry of convex sets.

Luca Brandolini, Marco Rigoli, Giancarlo Travaglini (1998)

Revista Matemática Iberoamericana

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Let B be a convex body in R, with piecewise smooth boundary and let ^χ denote the Fourier transform of its characteristic function. In this paper we determine the admissible decays of the spherical L averages of ^χ and we relate our analysis to a problem in the geometry of convex sets. As an application we obtain sharp results on the average number of integer lattice points in large bodies randomly positioned in the plane.

Necessary and sufficient conditions for a system of eigenfunctions and associated functions of a Sturm-Liouville operator with discontinuous coefficients to possess the basis property.

Lažetić, Nebojša L. (1985)

Publications de l'Institut Mathématique. Nouvelle Série

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Estimates for derivatives and integrals of eigenfunctions and associated functions of nonselfadjoint Sturm-Liouville operator with discontinuous coefficients. I.

Lažetić, Nebojša L. (1996)

Publications de l'Institut Mathématique. Nouvelle Série

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On the Fekete-Szegő theorem for close-to-convex functions.

Chonweerayoot, A., Thomas, D.K., Upakarnitikaset, W. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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Asymptotical properties of the Wronski determinant of a certain class of linear differential equations of the 2nd order

Jaroslav Hylán (1985)

Časopis pro pěstování matematiky

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A remark on polyconvex envelopes of radially symmetric functions in dimension $2 \times 2$

Ondřej Došlý (1997)

Applications of Mathematics

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We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in . We present an example of a function of this class for which the polyconvex envelope may be computed explicitly and we also point out some general features of the problem.

On Fejér's theorem of Fourier series

Hsiang, Fu Cheng (1967)

Portugaliae mathematica

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Asymptotic behaviour of partial sums of Fourier-Legendre series.

Bojanić, R., Divis, Z. (1988)

Publications de l'Institut Mathématique. Nouvelle Série

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Carleman estimates for a subelliptic operator and unique continuation

Nicola Garofalo, Zhongwei Shen (1994)

Annales de l'institut Fourier

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We establish a Carleman type inequality for the subelliptic operator $ℒ = Δ_{z} + | x |^{2} \partial_{t}^{2}$ in $ℝ^{n + 1}$ , $n \geq 2$ , where $z \in ℝ^{n}$ , $t \in ℝ$ . As a consequence, we show that $- ℒ + V$ has the strong unique continuation property at points of the degeneracy manifold ${(0, t) \in ℝ^{n + 1} | t \in ℝ}$ if the potential $V$ is locally in certain $L^{p}$ spaces.

The centroid and circumcentre of a plane convex set

H. G. Eggleston (1969)

Compositio Mathematica

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A geometric maximization problem

Aaron Melman (2013)

The Teaching of Mathematics

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The length of a lemmiscate.

Elia, M., Angeli, M.T.Galizia (1984)

Publications de l'Institut Mathématique. Nouvelle Série

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