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MSC2020 · 32Axx

Holomorphic functions of several complex variables

Holomorphic functions of several complex variables

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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

32A05Power series, series of functions of several complex variables1 32A08Polynomials and rational functions of several complex variables0 32A10Holomorphic functions of several complex variables0 32A12Multifunctions of several complex variables0 32A15Entire functions of several complex variables0 32A17Special families of functions of several complex variables0 32A18Bloch functions, normal functions of several complex variables0 32A19Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.)0 32A20Meromorphic functions of several complex variables0 32A22Nevanlinna theory; growth estimates; other inequalities of several complex variables0 32A25Integral representations; canonical kernels (Szeg?, Bergman, etc.)0 32A26Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels)0 32A27Residues for several complex variables0 32A30Other generalizations of function theory of one complex variable0 32A35

H^p

-spaces, Nevanlinna spaces of functions in several complex variables0 32A36Bergman spaces of functions in several complex variables0 32A37Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))0 32A38Algebras of holomorphic functions of several complex variables0 32A40Boundary behavior of holomorphic functions of several complex variables0 32A45Hyperfunctions0 32A50Harmonic analysis of several complex variables0 32A55Singular integrals of functions in several complex variables0 32A60Zero sets of holomorphic functions of several complex variables0 32A65Banach algebra techniques applied to functions of several complex variables0 32A70Functional analysis techniques applied to functions of several complex variables0 32A99Holomorphic functions of several complex variables0

Mapped problems

OP-12073AnalysisOpen

Bohr radius for the bidisc ( $C_{59}$ )

Bohr radius for the bidisc: determine C 59 or improve its bounds; the repository records 0.3006 (lower) and 0.302825279492 (upper).

Optimization Constants in Mathematics — Davis, Ivanisvili & Tao· Licensed source statement· 2026

Journals & articles in MSC 32

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Analysis & PDE ↗

Mathematical Sciences Publishers

Analysis and partial differential equations

Journal discovery is available; article-level extraction for this class is not yet included in this batch.

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MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 74