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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 42 | Fourier analysis | ||
| 42-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 42-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 42-02 | Research exposition (monographs, survey articles) | ||
| 42-03 | Historical | ||
| 42-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 42-06 | Proceedings, conferences, collections, etc. | ||
| 42-99 | Fourier analysis (not classified at a more specific level) | ||
| 42A | Fourier analysis in one variable | ||
| 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 | ||
| 42B | Fourier analysis in several variables {For automorphic theory, see mainly 11F30} | ||
| 42B05 | Fourier series and coefficients | ||
| 42B08 | Summability | ||
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type | ||
| 42B15 | Multipliers | ||
| 42B20 | Singular integrals (Calderón-Zygmund, etc.) | ||
| 42B25 | Maximal functions, Littlewood-Paley theory | ||
| 42B30 | $H^p$-spaces | ||
| 42B35 | Function spaces arising in harmonic analysis | ||
| 42B99 | None of the above, but in this section | ||
| 42C | Nontrigonometric Fourier analysis | ||
| 42C05 | Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] | ||
| 42C10 | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) | ||
| 42C15 | Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions | ||
| 42C20 | Rearrangements and other transformations of Fourier and other orthogonal series | ||
| 42C25 | Uniqueness and localization for orthogonal series | ||
| 42C30 | Completeness of sets of functions | ||
| 42C40 | Wavelets | ||
| 42C99 | None of the above, but in this section | ||
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