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ABSTRACT

In this paper, we mainly consider two-dimensional transforms. The ridgelet transform can be regarded as the application of the one-dimensional wavelet transform to the Radon transform. We generalize the ridgelet transform to have double windows and present ‘double windowed ridgelet transform’. Moreover, we show the inverse formula with suitable admissible conditions.

Acknowledgements

The authors also wish to thank Prof. Takeshi Mandai for valuable suggestions. The authors also thank the referee for her/his comments: they have been very useful to improve the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Grant-in-Aid for Scientific Research (C) (No. 16K05223), Japan Society for the Promotion of Science and JST (Japan Science and Technology Corporation) CREST [Grant Number JPMJCR1765], Japan.

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