On the regularity of distributions via the convergence of the continuous shearlet transform in two dimensions
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The local convergence of the continuous shearlet transform (CST) in two dimensions is used to prove the local regularity of functions [Formula: see text]. Moreover, by means of the regularity theorem of distributions [Formula: see text] and the results for functions in [Formula: see text], the local regularity of distributions [Formula: see text] with compact support is also proved via the local convergence of any derivative of the CST.
2020 ◽
Vol 2020
(758)
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pp. 95-137
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2005 ◽
Vol 161
(3)
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pp. 1487-1519
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1987 ◽
Vol 45
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pp. 156-157
1990 ◽
Vol 48
(3)
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pp. 166-167
2001 ◽
Vol 17
(2)
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pp. 98-111
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2016 ◽
Vol 32
(4)
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pp. 298-306
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2015 ◽
Vol 31
(4)
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pp. 302-309
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