Data di Pubblicazione:
2022
Citazione:
Bernstein Spaces on Siegel CR Manifolds / M. Calzi, M.M. Peloso. - In: ANALYSIS AND MATHEMATICAL PHYSICS. - ISSN 1664-2368. - 12:5(2022), pp. 123.1-123.33. [10.1007/s13324-022-00733-2]
Abstract:
In this paper we introduce and study Bernstein spaces on a class of quadratic CR
manifolds, which we call Siegel CR manifolds. These are spaces of entire functions
of exponential type whose restrictions to a given Siegel CR submanifold are L p-
integrable with respect to a natural measure. For these spaces, among other results, we
prove the Plancherel–Pólya inequality, a Bernstein inequality and a sufficient condition
for a sequence to be sampling.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Entire functions of exponential type; Quadratic CR manifolds; Bernstein spaces; Paley–Wiener spaces; Sampling
Elenco autori:
M. Calzi, M.M. Peloso
Link alla scheda completa: