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- W3210173086 abstract "We prove a continuity result for the shearlet transform when restricted to the space of smooth and rapidly decreasing functions with all vanishing moments. We define the dual shearlet transform, called here the shearlet synthesis operator, and we prove its continuity on the space of smooth and rapidly decreasing functions over $$mathbb R^2times mathbb Rtimes mathbb R^{times }$$ . Then, we use these continuity results to extend the shearlet transform to the space of Lizorkin distributions via the duality approach, and we prove its consistency with the classical definition for test functions and its equivalence with the coorbit space approach." @default.
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- W3210173086 date "2020-01-01" @default.
- W3210173086 modified "2023-10-13" @default.
- W3210173086 title "The Shearlet Transform and Lizorkin Spaces" @default.
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- W3210173086 doi "https://doi.org/10.1007/978-3-030-56005-8_3" @default.
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