La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Query : CC = Integration
11-XX Number theory

• 11S80 Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.)

26-XX Real functions [See also 54C30]

• 26B15 Integration: length, area, volume [See also 28A75, 51M25]

28-XX Measure and integration [For analysis on manifolds, see 58-XX]

• 28-99 Measure and integration (not classified at a more specific level)
• 28A25 Integration with respect to measures and other set functions
• 28A50 Integration and disintegration of measures
• 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections [See also 26E25, 49J53, 54C60, 54C65]
• 28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures

30-XX Functions of a complex variable [For analysis on manifolds, see 58-XX]

• 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions [See also 45Exx]

32-XX Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12]

• 32C30 Integration on analytic sets and spaces, currents [For local theory, see 32A25 or 32A27]

37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]

• 37J35 Completely integrable systems, topological structure of phase space, integration methods [New MSC 2000 code]
  • MSC 1991 codes in relation : 58F05, 58F07, 70H05
• 37K15 Integration of completely integrable systems by inverse spectral and scattering methods [New MSC 2000 code]
  • MSC 1991 codes in relation : 34A55, 34L40, 34L25, 35Q51, 35Q53, 35Q55, 35Q58, 58F07

46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx]
• 46G10 Vector-valued measures and integration [See also 28Bxx, 46B22]
• 46G12 Measures and integration on abstract linear spaces [See also 28C20, 46T12]
• 46L51 Noncommutative measure and integration [New MSC 2000 code]
  • MSC 1991 code in relation : 46L50

49-XX Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]

• 49Q15 Geometric measure and integration theory, integral and normal currents [See also 28A75, 32C30, 58A25, 58C35]

58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]

• 58C35 Integration on manifolds; measures on manifolds [See also 28Cxx]

65-XX Numerical analysis

• 65D30 Numerical integration

70-XX Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]

• 70H06 Completely integrable systems and methods of integration [New MSC 2000 code]
  • MSC 1991 codes in relation : 58F05, 58F07, 70H05

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