Lobachevsky-type formulas via Fourier analysis

DOI10.4171/EM/448zbMath1504.42010arXiv2006.09575WikidataQ113692021 ScholiaQ113692021MaRDI QIDQ2674982

Mian Li, Runze Cai, Horst Hohberger

Publication date: 20 September 2022

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09575

zbMATH Keywords

Lobachevsky-type integralShannon basis

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Functions of bounded variation, generalizations (26A45)

Uses Software

• MathOverflow

Cites Work

• An extension of the Lobachevsky formula
• On Euler numbers, Hilbert sums, Lobachevskiǐ integrals, and their asymptotics
• Remarkable Haar spaces of multivariate piecewise polynomials
• Surprising Sinc Sums and Integrals
• Sampling-50 years after Shannon
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