On multipliers for Fourier series in Sobolev orthogonal polynomials

DOI10.4213/SM9556EMaRDI QIDQ6137396

Boris P. Osilenker

Publication date: 2 September 2023

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sm9556

zbMATH Keywords

orthogonal polynomialsmultipliersFourier seriesnorm of operatorSobolev polynomials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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