We add another brick to the large building comprising proofs of Pick’s theorem. Although our proof is not the most elementary, it is short and reveals a connection between Pick’s theorem and the pointwise convergence of multiple Fourier series of piecewise smooth functions.

Brandolini, L., Colzani, L., Robins, S., Travaglini, G. (2021). Pick’s Theorem and Convergence of Multiple Fourier Series. THE AMERICAN MATHEMATICAL MONTHLY, 128(1), 41-49 [10.1080/00029890.2021.1839241].

Pick’s Theorem and Convergence of Multiple Fourier Series

Colzani, L;Travaglini, G
2021

Abstract

We add another brick to the large building comprising proofs of Pick’s theorem. Although our proof is not the most elementary, it is short and reveals a connection between Pick’s theorem and the pointwise convergence of multiple Fourier series of piecewise smooth functions.
Articolo in rivista - Articolo scientifico
MSC: Primary 52B20; Secondary 42B05;
English
15-gen-2021
2021
128
1
41
49
none
Brandolini, L., Colzani, L., Robins, S., Travaglini, G. (2021). Pick’s Theorem and Convergence of Multiple Fourier Series. THE AMERICAN MATHEMATICAL MONTHLY, 128(1), 41-49 [10.1080/00029890.2021.1839241].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/299187
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
Social impact