42-00 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 627
42-02 Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces 468
42-03 History of harmonic analysis on Euclidean spaces [Consider also classification numbers from Section 01-XX] 185
42-04 Software, source code, etc. for problems pertaining to harmonic analysis on Euclidean spaces 88
42-06 Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces 419
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series {For automorphic theory, see mainly 11F30} 2893
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) 721
42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization 220
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis [See also 33C45, 33C50, 33D45] 5316
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 4277