Solutions of an ordinary differential equation as a class of Fourier kernels.

Aggarwala, B.; Nasim, C.

Displaying similar documents to “Solutions of an ordinary differential equation as a class of Fourier kernels.”

On Fejér's theorem of Fourier series

Hsiang, Fu Cheng (1967)

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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)

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Some Fourier series for generalized hypergeometric polynomials

Shah, Manilal (1969)

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Asymptotic behaviour of partial sums of Fourier-Legendre series.

Bojanić, R., Divis, Z. (1988)

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A study of bending waves in infinite and anisotropic plates

Ove Lindblom, Reinhold Näslund, Lars-Erik Persson, Karl-Evert Fällström (1997)

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In this paper we present a unified approach to obtain integral representation formulas for describing the propagation of bending waves in infinite plates. The general anisotropic case is included and both new and well-known formulas are obtained in special cases (e.g. the classical Boussinesq formula). The formulas we have derived have been compared with experimental data and the coincidence is very good in all cases.

A divergent multiple Fourier series of power series type

J. Ash, Lawrence Gluck (1972)

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Generalisation of Kelvin's functions.

S. L. Gupta (1964)

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On certain hypersingular integrals

Y. Sagher (1971)

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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.