Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 44669

## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 11

Instructional exposition (textbooks, tutorial papers, etc.) 166

Research exposition (monographs, survey articles) 777

Explicit machine computation and programs (not the theory of computation or programming) 11

Special domains (Reinhardt, Hartogs, circular, tube) 1334

Nevanlinna theory (local); growth estimates; other inequalities [For geometric theory, see 32H25, 32H30] 600

Integral representations; canonical kernels (Szegő, Bergman, etc.) 1928

Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels) 301

Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) [For functions of several hypercomplex variables, see 30G35] 1338

Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx] 828

Analytical consequences of geometric convexity (vanishing theorems, etc.) 63

Deformations of special (e.g. CR) structures 218

Moduli and deformations for ordinary differential equations (e.g. Knizhnik-Zamolodchikov equation) [See also 34Mxx] 307

Holomorphic mappings, (holomorphic) embeddings and related questions 1171

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2588

Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem) 492

Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) 368

Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) 365

Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx] 8447