Theory of Functions of Several Complex Variables

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:application	gptkb:algebraic_geometry gptkb:theoretical_physics partial differential equations
gptkbp:field	gptkb:mathematics
gptkbp:goal	gptkb:Kohn's_algorithm gptkb:Bochner–Martinelli_formula gptkb:Cauchy–Riemann_equations gptkb:Runge's_theorem gptkb:Serre_duality gptkb:Stein_manifold gptkb:Dolbeault_cohomology gptkb:Oka_principle gptkb:Levi_form gptkb:Bergman_kernel gptkb:analytic_set Kähler manifold analytic continuation sheaf cohomology Remmert reduction coherent sheaf holomorphic function analytic space Andreotti–Grauert theory CR manifold complex domain envelope of holomorphy plurisubharmonic function pseudoconvex domain
gptkbp:hasSubfield	complex analysis
https://www.w3.org/2000/01/rdf-schema#label	Theory of Functions of Several Complex Variables
gptkbp:notableAchievement	gptkb:Oka's_coherence_theorem gptkb:Levi_problem gptkb:Cartan's_theorems_A_and_B Hartogs' extension theorem
gptkbp:notablePerson	gptkb:Lars_Hörmander gptkb:Henri_Cartan gptkb:John_Wermer gptkb:Reinhold_Remmert gptkb:Kiyoshi_Oka Boris Shabat
gptkbp:relatedTo	several complex variables complex manifolds analytic sets
gptkbp:studies	gptkb:Hartogs'_phenomenon analytic continuation domains of holomorphy plurisubharmonic functions pseudoconvexity domains in complex Euclidean space holomorphic functions in several variables
gptkbp:bfsParent	gptkb:Analytic_Functions_of_Several_Complex_Variables
gptkbp:bfsLayer	8