RIDGELET TRANSFORM ON SQUARE INTEGRABLE BOEHMIANS

Title & Authors
RIDGELET TRANSFORM ON SQUARE INTEGRABLE BOEHMIANS
Roopkumar, Rajakumar;

Abstract
The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\small{\mathfrak{R}}$ is consistent with the classical ridgelet transform R, linear, one-to-one, onto and both $\small{\mathfrak{R}}$, $\small{\mathfrak{R}^{-1}}$.1 are continuous with respect to $\small{\delta}$-convergence as well as $\small{\Delta}$-convergence.
Keywords
Boehmians;convolution;ridgelet transform;
Language
English
Cited by
1.
CONVOLUTION THEOREMS FOR FRACTIONAL FOURIER COSINE AND SINE TRANSFORMS AND THEIR EXTENSIONS TO BOEHMIANS,;;

대한수학회논문집, 2016. vol.31. 4, pp.791-809
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