EXTENDED RIDGELET TRANSFORM ON DISTRIBUTIONS AND BOEHMIANS

Abstract

The ridgelet transform is extended to the space of Schwartz distributions and to the space of C∞-Boehmians consistent with the classical Ridgelet transform on the space of square integrable Boehmians. The properties of the ridgelet transform like linearity, injectivity, surjectivity and continuity with respect to two notions of convergence are established. It is also justified that this extended ridgelet transform on C∞-Boehmians properly generalizes the earlier extensions of the ridgelet transform.