Curvelet transform for Boehmians

Abstract

By proving the required auxiliary results, two Boehmian spaces are constructed for the purpose of extending the curvelet transform to the context of Boehmian spaces. A convolution theorem for curvelet transform is proved. As an application, the curvelet transform is consistently extended from one Boehmian space into the other Boehmian space and its properties like linearity, injectivity and continuity with respect to δ-convergence and Δ-convergence are obtained.

Keywords

• 44A15
• 44A35