Ridgelet transform on square integrable Boehmians
Bull. Korean Math. Soc. 2009 Vol. 46, No. 5, 835-844
Printed September 1, 2009
Rajakumar Roopkumar
Alagappa University
Abstract : The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\mathscr{R}$ is consistent with the classical ridgelet transform $R$, linear, one-to-one, onto and both $\mathscr{R}, \mathscr{R}^{-1}$ are continuous with respect to $\delta$-convergence as well as $\Delta$-convergence.
Keywords : Boehmians, convolution, ridgelet transform
MSC numbers : Primary 44A15, 44A35
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