Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric

DOI10.1016/J.JMAA.2015.02.011zbMath1314.42013OpenAlexW1976987941MaRDI QIDQ2343230

Sergey S. Volosivets

Publication date: 4 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.011

zbMATH Keywords

double Fourier seriesabsolute convergencegeneralized Lipschitz classes

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (12)

Unnamed Item ⋮ Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes ⋮ Multiple sine series and Nikol'skii classes in uniform metric ⋮ Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes ⋮ Laguerre-Bessel transform and generalized Lipschitz classes ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Quaternion Fourier transform and generalized Lipschitz classes ⋮ Boas-type theorems for the \(q\)-Bessel Fourier transform ⋮ Boas-type theorems for the Bessel transform

Cites Work

• Absolutely convergent Fourier series and function classes
• Higher order Lipschitz classes of functions and absolutely convergent Fourier series
• Fourier coefficients and generalized Lipschitz classes in uniform metric
• Absolutely convergent multiple Fourier series and multiplicative Lipschitz classes of functions
• On generalized Lipschitz classes and Fourier series
• Double trigonometric series with positive coefficients
• Double sine series with nonnegative coefficients and Lipschitz classes
• Smoothness conditions and Fourier series
• Absolutely convergent multiple Fourier series and multiplicative Zygmund classes of functions
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