2 problems

For $p\in(1,\infty)$, let the Riesz–Titchmarsh discrete Hilbert transform be the discrete Hilbert transform on $\ell^p(\mathds{Z})$, and let the classical Hilbert transform act on…

Let $H_{\rm d}$ denote the discrete Hilbert transform on the integers, and let $H$ denote its continuous counterpart on the real line. Norm conjecture. The operators have the same…