Curvelet transform for Boehmians

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 δδ-convergence and ΔΔ-convergence are obtained.