La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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47-XX 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.
• 47-99 Operator theory (not classified at a more specific level)
• 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]
  • 47N10 Applications in optimization, convex analysis, mathematical programming, economics
  • 47N20 Applications to differential and integral equations
  • 47N30 Applications in probability theory and statistics
  • 47N40 Applications in numerical analysis [See also 65Jxx]
  • 47N50 Applications in quantum physics
  • 47N55 Applications in statistical physics
  • 47N60 Applications in biology and other sciences
  • 47N70 Applications in systems theory, circuits, etc.
  • 47N99 None of the above, but in this section
• 47Sxx Other (nonclassical) types of operator theory [See also 46Sxx]

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