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 Bo...

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Bibliographic Details
Published in:Arab journal of mathematical sciences 2014-07, Vol.20 (2), p.264-279
Main Authors: Rajendran, Subash Moorthy, Rajakumar, Roopkumar
Format: Article
Language:English
Subjects:
44A15
44A35
Boehmians
Convolution
Curvelet transform
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Summary: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.
ISSN:1319-5166
DOI:10.1016/j.ajmsc.2013.10.001