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Mathematics Subject Classification – MSC2010

42-XX

Harmonic analysis on Euclidean spaces 53764

42-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 35

42-01

Instructional exposition (textbooks, tutorial papers, etc.) 568

42-02

Research exposition (monographs, survey articles) 429

42-03

Historical (must also be assigned at least one classification number from Section 01) 166

42-04

Explicit machine computation and programs (not the theory of computation or programming) 89

42-06

Proceedings, conferences, collections, etc. 399

42Axx

Harmonic analysis in one variable 18893

42A05

Trigonometric polynomials, inequalities, extremal problems 1317

42A10

Trigonometric approximation 3296

42A15

Trigonometric interpolation 835

42A16

Fourier coefficients, Fourier series of functions with special properties, special Fourier series [For automorphic theory, see mainly 11F30] 2675

42A20

Convergence and absolute convergence of Fourier and trigonometric series 2618

42A24

Summability and absolute summability of Fourier and trigonometric series 2005

42A32

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) 655

42A38

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 4000

42A45

Multipliers 849

42A50

Conjugate functions, conjugate series, singular integrals 1139

42A55

Lacunary series of trigonometric and other functions; Riesz products 534

42A61

Probabilistic methods 237

42A63

Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization 208

42A65

Completeness of sets of functions 306

42A70

Trigonometric moment problems 186

42A75

Classical almost periodic functions, mean periodic functions [See also 43A60] 890

42A82

Positive definite functions 369

42A85

Convolution, factorization 638

42A99

None of the above, but in this section 293

42Bxx

Harmonic analysis in several variables [For automorphic theory, see mainly 11F30] 17455

42B05

Fourier series and coefficients 1815

42B08

Summability 634

42B10

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 2272

42B15

Multipliers 1614

42B20

Singular and oscillatory integrals (Calderón-Zygmund, etc.) 5856

42B25

Maximal functions, Littlewood-Paley theory 6076

42B30

\(H^p\)-spaces 2149

42B35

Function spaces arising in harmonic analysis 2906

42B37

Harmonic analysis and PDE [See also 35-XX] 494

42B99

None of the above, but in this section 654

42Cxx

Nontrigonometric harmonic analysis 20633

42C05

Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] 4785

42C10

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 3860

42C15

General harmonic expansions, frames 4792

42C20

Other transformations of harmonic type 285

42C25

Uniqueness and localization for orthogonal series 158

42C30

Completeness of sets of functions 568

42C40

Wavelets and other special systems 8152

42C99

None of the above, but in this section 274

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Mathematics Subject Classification – MSC2010

Overview