We prove several results concerning the discrepancy, tested on balls in the d-dimensional torus Td, between absolutely continuous measures and finite atomic measures.

Brandolini, L., Colzani, L., Travaglini, G. (2025). Discrepancy and approximation of absolutely continuous measures with atomic measures. THE JOURNAL OF GEOMETRIC ANALYSIS, 35(3) [10.1007/s12220-025-01935-3].

Discrepancy and approximation of absolutely continuous measures with atomic measures

Colzani L.;Travaglini G.
2025

Abstract

We prove several results concerning the discrepancy, tested on balls in the d-dimensional torus Td, between absolutely continuous measures and finite atomic measures.
Articolo in rivista - Articolo scientifico
Cassels-Montgomery lemma; Fourier transforms; Gates of Hell Problem; Geometric discrepancy; Jittered sampling; Morrey spaces; Roth’s theorem;
English
12-feb-2025
2025
35
3
97
none
Brandolini, L., Colzani, L., Travaglini, G. (2025). Discrepancy and approximation of absolutely continuous measures with atomic measures. THE JOURNAL OF GEOMETRIC ANALYSIS, 35(3) [10.1007/s12220-025-01935-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/545143
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