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Mathematics Subject Classification – MSC2020

Harmonic analysis on Euclidean spaces 55983

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to harmonic analysis on Euclidean spaces 36

42-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces 591

42-02

Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces 446

42-03

History of harmonic analysis on Euclidean spaces [Consider also classification numbers pertaining to Section 01-XX] 168

42-04

Software, source code, etc. for problems pertaining to harmonic analysis on Euclidean spaces 89

42-06

Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces 404

42-08

Computational methods for problems pertaining to harmonic analysis on Euclidean spaces 0

42-11

Research data for problems pertaining to harmonic analysis on Euclidean spaces 0

42Axx

Harmonic analysis in one variable 19391

42A05

Trigonometric polynomials, inequalities, extremal problems 1352

42A10

Trigonometric approximation 3377

42A15

Trigonometric interpolation 846

42A16

Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30} 2733

42A20

Convergence and absolute convergence of Fourier and trigonometric series 2652

42A24

Summability and absolute summability of Fourier and trigonometric series 2035

42A32

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) 675

42A38

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 4158

42A45

Multipliers in one variable harmonic analysis 864

42A50

Conjugate functions, conjugate series, singular integrals 1153

42A55

Lacunary series of trigonometric and other functions; Riesz products 541

42A61

Probabilistic methods for one variable harmonic analysis 244

42A63

Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization 211

42A65

Completeness of sets of functions in one variable harmonic analysis 316

42A70

Trigonometric moment problems in one variable harmonic analysis 188

42A75

Classical almost periodic functions, mean periodic functions [See also 43A60] 913

42A82

Positive definite functions in one variable harmonic analysis 385

42A85

Convolution, factorization for one variable harmonic analysis 667

42A99

None of the above, but in this section 297

42Bxx

Harmonic analysis in several variables {For automorphic theory, see mainly 11F30} 18516

42B05

Fourier series and coefficients in several variables 1863

42B08

Summability in several variables 655

42B10

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 2419

42B15

Multipliers for harmonic analysis in several variables 1709

42B20

Singular and oscillatory integrals (Calderón-Zygmund, etc.) 6221

42B25

Maximal functions, Littlewood-Paley theory 6485

42B30

\(H^p\)-spaces 2282

42B35

Function spaces arising in harmonic analysis 3242

42B37

Harmonic analysis and PDEs [See also 35-XX] 597

42B99

None of the above, but in this section 673

42Cxx

Nontrigonometric harmonic analysis 21454

42C05

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis [See also 33C45, 33C50, 33D45] 4968

42C10

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 3992

42C15

General harmonic expansions, frames 5069

42C20

Other transformations of harmonic type 301

42C25

Uniqueness and localization for orthogonal series 167

42C30

Completeness of sets of functions in nontrigonometric harmonic analysis 589

42C40

Nontrigonometric harmonic analysis involving wavelets and other special systems 8461

42C99

None of the above, but in this section 279

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Mathematics Subject Classification – MSC2020

Overview