Curvelet transform for Boehmians | Zendy

Subash Moorthy Rajendran | Zendy; R. Roopkumar | Zendy

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Curvelet transform for Boehmians

Author(s) -

Subash Moorthy Rajendran,

R. Roopkumar

Publication year - 2013

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2013.10.001

Subject(s) - curvelet , mathematics , convolution (computer science) , convergence (economics) , context (archaeology) , space (punctuation) , mathematical analysis , pure mathematics , algorithm , artificial intelligence , computer science , artificial neural network , wavelet transform , geology , paleontology , economics , economic growth , operating system , wavelet

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

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