Convolution equations in Colombeau's spaces.

Nedeljkov, Marko

Displaying similar documents to “Convolution equations in Colombeau's spaces.”

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J. Ward (1992)

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A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced. Its properties and applications to solving a system of integral equations are considered.

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Almost Everywhere Convergence Of Convolution Powers Without Finite Second Moment

Christopher M. Wedrychowicz (2011)

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Bellow and Calderón proved that the sequence of convolution powers $μ_{n} f (x) = \sum_{k \in ℤ} μ^{n} (k) f (T^{k} x)$ converges a.e, when $μ$ is a strictly aperiodic probability measure on $ℤ$ such that the expectation is zero, $E (μ) = 0$ , and the second moment is finite, $m_{2} (μ) < \infty$ . In this paper we extend this result to cases where $m_{2} (μ) = \infty$ .

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