32Axx

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32Axx Holomorphic functions of several complex variables {Info & Stats}

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