Data di Pubblicazione:
2023
Citazione:
Carleson and sampling measures on Bernstein spaces on Siegel CR manifolds / M. Calzi, M.M. Peloso. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - (2023), pp. 1-34. [Epub ahead of print] [10.1002/mana.202200058]
Abstract:
In this paper, we introduce and study Carleson and sampling measures on Bernstein spaces on a class of quadratic CR manifold called Siegel CR manifolds. These are spaces of entire functions of exponential type whose restrictions to the given Siegel CR manifold are Lp$L<^>p$-integrable with respect to a natural measure. For these spaces, we prove necessary and sufficient conditions for a Radon measure to be a Carleson or a sampling measure. We also provide sufficient conditions for sampling sequences.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Bernstein spaces; Carleson measures; entire functions of exponential type; Paley-Wiener spaces; quadratic CR manifolds; sampling measures;
Elenco autori:
M. Calzi, M.M. Peloso
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