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47-xx

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Operator theory

  • 47-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 47-01 Instructional exposition (textbooks, tutorial papers, etc.)
  • 47-02 Research exposition (monographs, survey articles)
  • 47-03 Historical (must also be assigned at least one classification number from Section 01)
  • 47-04 Explicit machine computation and programs (not the theory of computation or programming)
  • 47-06 Proceedings, conferences, collections, etc.

  • 47Axx General theory of linear operators
  • 47Bxx Special classes of linear operators
  • 47Cxx Individual linear operators as elements of algebraic systems
  • 47Dxx Groups and semigroups of linear operators, their generalizations and applications
  • 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx]
  • 47F05 Partial differential operators [See also 35Pxx, 58Jxx]
  • 47Gxx Integral, integro-differential, and pseudodifferential operators [See also 58Jxx]
  • 47Hxx Nonlinear operators and their properties {For global and geometric aspects, see 58-xx, especially 58Cxx}
  • 47Jxx Equations and inequalities involving nonlinear operators [See also 46Txx] {For global and geometric aspects, see 58-xx}
  • 47Lxx Linear spaces and algebras of operators [See also 46Lxx]
  • 47Nxx Miscellaneous applications of operator theory [See also 46Nxx]
  • 47Sxx Other (nonclassical) types of operator theory [See also 46Sxx]