Plancherel–Pólya Inequality for Entire Functions of Exponential Type in L2(ℝ)
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DOI: 10.1007/s10476-018-0104-5
Abstract: We investigate the Plancherel–Pólya inequality $$\sum {_{k \in \mathbb{Z}}} |f(k){|^2} \leqslant {c_2}\left( \sigma \right)||f||_{{L^2}\left( \mathbb{R} \right)}^2$$∑k∈ℤ|f(k)|2⩽c2(σ)||f||L2(ℝ)2 on the set of entire functions f of exponential type at most σ whose restrictions to the real line… read more here.
Keywords: plancherel lya; functions exponential; lya inequality; entire functions ... See more keywords