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Equality of the discrete Kak-Hilbert transform and Hilbert transform norms
Norm-equality conjecture. These norms should be equal for all $p\in(1,\infty)$ :
Conjectureopendiscrete-hilbert-transforms harmonic-analysisarXiv posted 2 days ago

Equality of the discrete Kak-Hilbert transform and Hilbert transform norms