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Mathematical Sciences Classification System

47-XX - Operator theory

• 4
  47-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 110
  47-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 3
  47-02
  Research exposition (monographs, survey articles)
• 13
  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)
• 254
  47-06
  Proceedings, conferences, collections, etc.
• 77
  (+362)
  47Axx
  General theory of linear operators
• 47
  (+259)
  47Bxx
  Special classes of linear operators
• 2
  (+2)
  47Cxx
  Individual linear operators as elements of algebraic systems
• 53
  (+91)
  47Dxx
  Groups and semigroups of linear operators, their generalizations and applications
• 4
  (+28)
  47Exx
  Ordinary differential operators
  [See also 34Bxx, 34Lxx]
• 14
  (+32)
  47Fxx
  Partial differential operators
  [See also 35Pxx, 58Jxx]
• 23
  (+75)
  47Gxx
  Integral, integro-differential, and pseudodifferential operators
  [See also 58Jxx]
• 58
  (+135)
  47Hxx
  Nonlinear operators and their properties
  {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx}
• 41
  (+68)
  47Jxx
  Equations and inequalities involving nonlinear operators
  [See also 46Txx]
  {For global and geometric aspects, see 58-XX}
• 31
  (+33)
  47Lxx
  Linear spaces and algebras of operators
  [See also 46Lxx]
• 12
  (+98)
  47Nxx
  Miscellaneous applications of operator theory
  [See also 46Nxx]
• (+12)
  47Sxx
  Other (nonclassical) types of operator theory
  [See also 46Sxx]