Bulletin of the Korean Mathematical Society (대한수학회보)

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RIDGELET TRANSFORM ON SQUARE INTEGRABLE BOEHMIANS

  • Published : 2009.09.30
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Abstract

The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\mathfrak{R}$ is consistent with the classical ridgelet transform R, linear, one-to-one, onto and both $\mathfrak{R}$, $\mathfrak{R}^{-1}$.1 are continuous with respect to $\delta$-convergence as well as $\Delta$-convergence.

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References

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