The metric theory of functions

zbMath0728.42001MaRDI QIDQ5896550

P. L. Ul'yanov

Publication date: 1990

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier analysisFourier coefficientsbasesspecial systemsconvergence and summability of seriesmetric theory of functionsRepresentation of functions by series

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Lacunary series of trigonometric and other functions; Riesz products (42A55) Other transformations of harmonic type (42C20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) History of harmonic analysis on Euclidean spaces (42-03) History of functional analysis (46-03) History of functions of a complex variable (30-03)

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On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

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