About: Harmonic analysis in one variable

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Harmonic analysis on Euclidean spaces
narrower concept	Trigonometric polynomials, inequalities, extremal problems Trigonometric approximation Trigonometric interpolation Fourier coefficients, Fourier series of functions with special properties, special Fourier series Convergence and absolute convergence of Fourier and trigonometric series Summability and absolute summability of Fourier and trigonometric series Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Multipliers Conjugate functions, conjugate series, singular integrals Lacunary series of trigonometric and other functions; Riesz products Probabilistic methods Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization Completeness of sets of functions Trigonometric moment problems Classical almost periodic functions, mean periodic functions Positive definite functions Convolution, factorization None of the above, but in MSC2010 section 42Axx
skos:prefLabel	Harmonic analysis in one variable 单变量调和分析
skos:closeMatch	from MSC1991 value of: Fourier analysis in one variable from MSC2000 value of: Fourier analysis in one variable
skos:notation	42Axx
is broader concept of	Trigonometric polynomials, inequalities, extremal problems Trigonometric approximation Trigonometric interpolation Fourier coefficients, Fourier series of functions with special properties, special Fourier series Convergence and absolute convergence of Fourier and trigonometric series Summability and absolute summability of Fourier and trigonometric series Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Multipliers Conjugate functions, conjugate series, singular integrals Lacunary series of trigonometric and other functions; Riesz products Probabilistic methods Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization Completeness of sets of functions Trigonometric moment problems Classical almost periodic functions, mean periodic functions Positive definite functions Convolution, factorization None of the above, but in MSC2010 section 42Axx
is narrower concept of	Harmonic analysis on Euclidean spaces

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