Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2009; 46(5): 835-844

Printed September 1, 2009

https://doi.org/10.4134/BKMS.2009.46.5.835

Copyright © The Korean Mathematical Society.

Ridgelet transform on square integrable Boehmians

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