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Mathematical Sciences Classification System

32Axx - Holomorphic functions of several complex variables

• 1
  32A05
  Power series, series of functions
• 2
  32A07
  Special domains (Reinhardt, Hartogs, circular, tube)
• 3
  32A10
  Holomorphic functions
• 32A12
  Multifunctions
• 1
  32A15
  Entire functions
• 32A17
  Special families of functions
• 32A18
  Bloch functions, normal functions
• 32A19
  Normal families of functions, mappings
• 2
  32A20
  Meromorphic functions
• 6
  32A22
  Nevanlinna theory (local); growth estimates; other inequalities {For geometric theory, see 32H25, 32H30}
• 14
  32A25
  Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)
• 2
  32A26
  Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels)
• 6
  32A27
  Local theory of residues [See also 32C30]
• 4
  32A30
  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}
• 32A35
  $H^p$-spaces, Nevanlinna spaces [See also 32M15, 42B30, 43A85, 46J15]
• 3
  32A36
  Bergman spaces
• 3
  32A37
  Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx]
• 2
  32A38
  Algebras of holomorphic functions [See also 30H05, 46J10, 46J15]
• 2
  32A40
  Boundary behavior of holomorphic functions
• 1
  32A45
  Hyperfunctions [See also 46F15]
• 4
  32A50
  Harmonic analysis of several complex variables [See mainly 43-XX]
• 1
  32A55
  Singular integrals
• 32A60
  Zero sets of holomorphic functions
• 32A65
  Banach algebra techniques [See mainly 46Jxx]
• 2
  32A70
  Functional analysis techniques [See mainly 46Exx]
• 32A99
  None of the above, but in this section