-
42A05
Trigonometric polynomials, inequalities, extremal problems
-
42A10
Trigonometric approximation
-
42A15
Trigonometric interpolation
-
42A16
Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly
11F30}
-
42A20
Convergence and absolute convergence of Fourier and trigonometric series
-
42A24
Summability and absolute summability of Fourier and trigonometric series
-
42A32
Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
-
42A38
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
-
42A45
Multipliers
-
42A50
Conjugate functions, conjugate series, singular integrals
-
42A55
Lacunary series of trigonometric and other functions; Riesz products
-
42A61
Probabilistic methods
-
42A63
Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization
-
42A65
Completeness of sets of functions
-
42A70
Trigonometric moment problems
-
42A75
Classical almost periodic functions, mean periodic functions [See also
43A60]
-
42A82
Positive definite functions
-
42A85
Convolution, factorization
-
42A99
None of the above, but in this section