数学物理分类主题词.pdf

00 General 00A General and miscellaneous specific topics 00B Conference proceedings and collections of papers 0l History and biography 01A History of mathematics and mathematicians 03 Mathematical logic and foundations 03A Philosophical and critical 03B General logic 03C Model theory 03D Computability and recursion theory 06B Lattices 06C Modular lattices complemented lattices 06D Distributive lattices A8y E 11U Connections with logic I 11Y Computational number theory homological algebra a 0 18A General theory of categories and functors q i 18B Special categories 18C Categories and theories 18D Categories with structure 18E Abelian categories C 18F Categories and geometry cd 18G Homological algebra a 0 19 K theory K 19A Grothendieck groups and K0 Grothendieck 6 K0 19B Whitehead groups and K1 Whitehead6 K1 19D Higher algebraic K theory 0 K 19E K theory in geometry cd K 19F K theory in number theory K 19G K theory of form LU K 19J Obstructions from topology 19K K theory and operator algebras K 0 19L Topological K theory K 20 Group theory and generalizations 6 M 20A Foundations 20B Permutation groups 6 20C Representation theory of groups 6 20D Abstract finite groups 86 20E Structure and classification of infinite or finite groups 8 86 O 20F Special aspects of infinite or finite groups 8 86 20G Linear algebraic groups classical groups 0 6D 6F 20H Other groups of matrices MNVW6 20J Connections with homological algebra and category theory a 0 I 20K Abelian groups C6 20M Semigroups D F6 20N Other generalizations of groups 6 MN 22 Topological groups Lie groups 6 6 22A Topological and differentiable algebraic systems 0 IJ 22C Compact groups 6 22D Locally compact groups and their algebras z 6 M0 22E Lie groups 6 22F Noncompact transformation groups 1 K 6 26 Real functions q 26A Functions of one variable Knq 26B Functions of several variables SKnq 26C Polynomials rational functions STU q 26D Inequalities QU 26E Miscellaneous topics 28 Measure and integration m 28A Classical measure theory m 28B set functions measures and integrals with values in abstract spaces q m 28C Set functions and measures on spaces with additional structure q u m 28D Measure theoretic ergodic theory m 28E Miscellaneous topics in measure theory m 30 Functions of a complex variable Kq 30A General properties GH 30B Series expansions 30C Geometric function theory cdq 30D Entire and meromorphic functions and related topics wq q M 30E Miscellaneous topics of analysis in the complex domain y 30F Riemann surfaces 30G Generalized function theory q 30H spaces and algebras of analytic functions rsq 0 31 Potential theory 31A Two dimensional theory 31B Higher dimensional theory 31C Other generalizations MN 31D Axiomatic potential theory 32 Several complex variables and analytic spaces S K rs 32A Holomorphic functions of several complex variables S K q 32B Local analytic geometry z rscd 32C Analytic spaces rs 32E holomorphic convexity 32F Geometric convexity cd 32G Deformations of analytic structures rs KL 32H holomorphic mappings and correspondences 32J Compact analytic spaces rs 32K Generalizations of analytic space rs 32L Holomorphic fiber spaces 32M Complex spaces with a group of automorphisms a 6 32Q Complex manifolds L 32S Singularities 32T Pseudoconvex domains y 32U Pluripotential theory Pluri 32V CR manifolds CR L 32W Differential operators in several variables SKn 33 Special functions q 33B Elementary classical functions PQ q 33C Hypergeometric functions gcdq 33D Basic hypergeometric functions gcdq 33E Other special functions MN q 33F Computational aspects R 40C General summability methods GH l 40D Direct theorems on summability 40E Inversion theorem 40F Absolute and strong summability 40H Functional analytic methods in summability q s l 41 Approximations and expansions f 42 Fourier analysis Banach lattices 1 Banach Banach 46C Inner product spaces and their generalizations Hilbert spaces 2 M 3C4 46E Linear function spaces and their duals q M 5 46F Distributions generalized functions distribution spaces B q B 46G Measures integration derivative holomorphy all involving infinite dimensional spaces m 6 L 46H Topological algebras normed rings and algebras Banach algebras 0 1 E 0 Banach 0 46J Commutative Banach algebras and commutative topological algebras Banach0 0 46K Topological rings and algebras with an involution DE F0 46L Selfadjoint operator algebras 5 0 46M Methods of category theory in functional analysis q s l 46N Miscellaneous applications of functional analysis q s 46S Other nonclassical types of functional analysis q s MND1 FO 46T Nonlinear functional analysis 1 q s 47 Operator theory 47A General theory of linear operators GH 47B Special classes of linear operators O 47C Individual linear operators as elements of algebraic systems 7 0 IJ 47D Groups and semigroups of linear operators their generalizations and applications 6 6 N8 47E Ordinary differential operators 47F Partial differential operators 47G Integral integro differential and pseudodifferential operators 47H Nonlinear operators and their properties 1 M 47J Equations and inequalities involving nonlinear operators 1 QU 47L Linear spaces and algebras of operators 0 47N Miscellaneous applications of operator theory 47S Other nonclassical types of operator theory MND1 FO 49 Calculus of variations and optimal control optimization K l 9 l 49J Existence theories 49K Necessary conditions and sufficient conditions for optimality 49L Hamilton Jacobi theories including dynamic programming A BC 5 nonlinear operators LT 1 58D Spaces and manifolds of mappings L 58E Variational problems in infinite dimensional spaces 8 K 58H Pseudogroups differentiable groupoids and general structures on manifolds 6 6 LT GH 58J Partial differential equations on manifolds differential operators LT 58K Theory of singularities and catastrophe theory catastrophe 60 Probability theory and stochastic processes ij 60AFoundations of probability theory ij 60B Probability theory on algebraic and topological structures 0 T ij 60C Combinatorial probability 4 ij 60D Ceometric probability stochastic geometry random sets cdij cd 60E Distribution theory B 60F Limit theorems 78 60G Stochastic processes 60H stochastic analysis s 60J Markov processes UCVW 60K Special processes 62 Statistics J l 62M Inference from stochastic processes 62N survival analysis and censored data s a b 62P Applications 65 Numerical analysis s 65B Acceleration of convergence uc 65C Probabilistic methods simulation and stochastic differential equations ij l d 65D Numerical approximation and computational geometry f 5 filtration seepage S 76T Two phase and multiphase flows S 76V Reaction effects in flows 76W Magnetohydrodynamics and electrohydrodynamics x x 76X Ionized gas flow in electromagnetic fields plasmic flow r J QJ 76Y Quantum hydrodynamics and relativistic hydrodynamics n x x 76Z Biological fluid mechanics x 78 Optics electromagnetic theory 78A General i 78M Basic methods l 80 Classical thermodynamics heat transfer 6 80A Thermodynamics and heat transfer 6 80M Basic methods l 81 Q