La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = Hilbert
11-XX Number theory

• 11F41 Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]

12-XX Field theory and polynomials

• 12E25 Hilbertian fields; Hilbert's irreducibility theorem

13-XX Commutative rings and algebras

• 13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series

14-XX Algebraic geometry

• 14C05 Parametrization (Chow and Hilbert schemes)
• 14J25 Special surfaces [For Hilbert modular surfaces, see 14G35]

34-XX Ordinary differential equations

• 34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 34C05, 58F21
• 34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 30E99, 34A20

35-XX Partial differential equations

• 35Q15 Riemann-Hilbert problems [See also 30E25, 31A25, 31B20]

44-XX Integral transforms, operational calculus [For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10]

• 44A15 Special transforms (Legendre, Hilbert, etc.)

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

• 46Cxx Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx]
• 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
• 46C07 Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges,...) [See also 46B70, 46M35] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 46C05, 46C99, 46B70, 46M35
• 46C15 Characterizations of Hilbert spaces
• 46E20 Hilbert spaces of continuous, differentiable or analytic functions
• 46E22 Hilbert spaces with reproducing kernels (=[proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32]
• 46K15 Hilbert algebras

47-XX Operator theory

• 47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces
• 47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 47A45, 47B38, 46E22
• 47L30 Abstract operator algebras on Hilbert spaces [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 46Lxx, 47D25

52-XX Convex and discrete geometry

• 52B45 Dissections and valuations (Hilbert's third problem, etc.) [See also 68-XX]

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