Data di Pubblicazione:
2023
Citazione:
Paley–Wiener–Schwartz theorems on quadratic CR manifolds / M. Calzi. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 305:1(2023 Sep), pp. 8.1-8.35. [10.1007/s00209-023-03342-2]
Abstract:
Given a quadratic CR manifold M embedded in a complex space, we study Paley–Wiener–Schwartz theorems for spaces of Schwartz functions and tempered distributions on M. We discuss the interpretation of the space of restrictions of entire functions of exponential growth to M in terms of their non-commutative Fourier transform. We provide some structure results of the considered entire functions of exponential growth in terms of the geometric properties of M.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
CR manifolds; Entire functions; Non-commutative Fourier transform; Paley–Wiener–Schwartz Theorems;
Elenco autori:
M. Calzi
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