Strong Cesáro summability of double Fourier integrals (Q2460635)
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| Language | Label | Description | Also known as |
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| English | Strong Cesáro summability of double Fourier integrals |
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Strong Cesáro summability of double Fourier integrals (English)
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12 November 2007
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The paper extends to functions \(f\in L^\infty(\mathbb R^2)\) with bounded support a result of strongly \(q\)-Cesaro summability of the inverse Fourier integral of \(f\) proved by \textit{F. Móricz} [Acta Sci. Math. 71, No. 1-2, 159--174 (2005; Zbl 1120.40302)] for \(L^\infty(\mathbb R^2)\) functions locally bounded on \(\mathbb R\).
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double Fourier transform and integral
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inversion formula
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inverse Fourier integral
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\(L^\infty(\mathbb R^2)\) functions
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