Fourier coefficients of functions from many-dimensional classes of bounded \(\Lambda\)-variation

DOI10.3103/S0027132211010025zbMath1304.42020MaRDI QIDQ2513186

A. N. Bakhvalov

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05)

Related Items (5)

Functions of generalized bounded variation and its multiple fourier coefficients ⋮ On multiple Walsh-Fourier coefficients of functions of \(\varphi-\Lambda\) -bounded variation ⋮ On weighted β-absolute convergence of double Fourier series ⋮ Absolute convergence of multiple Fourier series of functions of \(\phi \left( \Lambda ^1,\dots,\Lambda ^N\right) \)-bounded variation ⋮ A new estimate of double Fourier coefficients for functions of bounded generalized variation

Cites Work

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• On the Magnitude of Fourier Coefficients
• On the summability of Fourier series of functions of Λ-bounded variation
• Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series
• On convergence of Fourier series of functions of generalized bounded variation

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