Estimates for exponential sums. Applications

DOI10.1007/S10958-012-1118-3zbMath1268.30036OpenAlexW2091454693MaRDI QIDQ1948631

A. E. Dodonov, Vladimir I. Danchenko

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1118-3

zbMATH Keywords

exponential sumsrational functionssharp inequalitieslinear homogeneous differential equations

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (5)

Approximation by amplitude and frequency operators ⋮ Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators ⋮ Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities ⋮ Extremal and approximative properties of simple partial fractions ⋮ Extraction of harmonics from trigonometric polynomials by phase-amplitude operators

Cites Work

• Unnamed Item
• ON SEPARATION OF SINGULARITIES OF MEROMORPHIC FUNCTIONS
• ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENTS OF FUNCTIONS MEROMORPHIC IN DOMAINS WITH A SMOOTH BOUNDARY
• ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES
• Estimates of derivatives of simplest fractions and other questions

This page was built for publication: Estimates for exponential sums. Applications