Mathematics Subject Classification 1991

42-XX Fourier analysis ( 0 Dok.)

• 42-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 42-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 42-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 42-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 42-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 42-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 42Axx Fourier analysis in one variable ( 0 Dok. )
• 42A05 Trigonometric polynomials, inequalities, extremal problems ( 0 Dok.)
• 42A10 Trigonometric approximation ( 0 Dok.)
• 42A15 Trigonometric interpolation ( 0 Dok.)
• 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series, {For automorphic theory, See mainly 11F30} ( 0 Dok.)
• 42A20 Convergence of Fourier and trigonometric series ( 0 Dok.)
• 42A24 Summability of Fourier and trigonometric series ( 0 Dok.)
• 42A28 Absolute convergence, absolute summability ( 0 Dok.)
• 42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) ( 0 Dok.)
• 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type ( 0 Dok.)
• 42A45 Multipliers ( 0 Dok.)
• 42A50 Conjugate functions, conjugate series, singular integrals ( 0 Dok.)
• 42A55 Lacunary series of trigonometric and other functions; Riesz products ( 0 Dok.)
• 42A61 Probabilistic methods ( 0 Dok.)
• 42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization ( 0 Dok.)
• 42A65 Completeness of sets of functions ( 0 Dok.)
• 42A70 Trigonometric moment problems ( 0 Dok.)
• 42A75 Classical almost periodic functions, mean periodic functions, See also {43A60} ( 0 Dok.)
• 42A82 Positive definite functions ( 0 Dok.)
• 42A85 Convolution, factorization ( 0 Dok.)
• 42A99 None of the above but in this section ( 0 Dok.)
• 42Bxx Fourier analysis in several variables, {For automorphic theory, See mainly 11F30} ( 0 Dok. )
• 42B05 Fourier series and coefficients ( 0 Dok.)
• 42B08 Summability ( 0 Dok.)
• 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type ( 0 Dok.)
• 42B15 Multipliers ( 0 Dok.)
• 42B20 Singular integrals (Calderon-Zygmund, etc.) ( 0 Dok.)
• 42B25 Maximal functions, Littlewood-Paley theory ( 0 Dok.)
• 42B30 $H^p$-spaces ( 0 Dok.)
• 42B99 None of the above but in this section ( 0 Dok.)
• 42Cxx Nontrigonometric Fourier analysis ( 0 Dok. )
• 42C05 Orthogonal functions and polynomials, general theory, See also {33A65, 33C45, 33C50, 33D45} ( 0 Dok.)
• 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) ( 0 Dok.)
• 42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions ( 0 Dok.)
• 42C20 Rearrangements and other transformations of Fourier and other orthogonal series ( 0 Dok.)
• 42C25 Uniqueness and localization for orthogonal series ( 0 Dok.)
• 42C30 Completeness of sets of functions ( 0 Dok.)
• 42C99 None of the above but in this section ( 0 Dok.)