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Differentiation in lacunary directions

Let {θ(j)} be a lacunary sequence going to zero. Let [Formula: see text]. Define [Formula: see text]. We prove [Formula: see text].

I tiakina i:
Ngā taipitopito rārangi puna kōrero
I whakaputaina i:Proc Natl Acad Sci U S A
Ngā kaituhi matua: Nagel, A., Stein, E. M., Wainger, S.
Hōputu: Artigo
Reo:Inglês
I whakaputaina: National Academy of Sciences 1978
Ngā marau:
Urunga tuihono:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC411406/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592506/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.75.3.1060
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