A Sharp Inequality on the Exponentiation of Functions on the Sphere

In this paper we show a new inequality that generalizes to the unit sphere the Lebedev‐Milin inequality of the exponentiation of functions on the unit circle. It may also be regarded as the counterpart on the sphere of the second inequality in the Szegö limit theorem on the Toeplitz determinants on...

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Veröffentlicht in:Communications on pure and applied mathematics 2023-06, Vol.76 (6), p.1303-1326
Hauptverfasser: Chang, Sun‐Yung Alice, Gui, Changfeng
Format: Artikel
Sprache:eng
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