| 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 (must also be assigned at least one classification number from Section 01) |
| 42-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 42-06 | Proceedings, conferences, collections, etc. |
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| 42Axx | Fourier analysis in one variable |
| 42Bxx | Fourier analysis in several variables {For automorphic theory, see mainly 11F30} |
| 42Cxx | Nontrigonometric Fourier analysis |