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

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