Definition of Holomorphy. Meaning of Holomorphy. Synonyms of Holomorphy

- is the domain of holomorphy of some function, in other words every domain has a function for which it is the domain of holomorphy. For several complex...
- Holomorph may refer to: Mathematics Holomorph (mathematics), a group which simultaneously contains (copies of) a group and its automorphism group Holomorphic...
- In mathematics, infinite-dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic...
- in the theory of functions of several complex variables, a domain of holomorphy is a domain which is maximal in the sense that there exists a holomorphic...
- only some connected open sets are domains of holomorphy. The characterization of domains of holomorphy leads to the notion of pseudoconvexity. Cauchy–Riemann...
- critical points of the Calabi functional in terms of so-called holomorphy potentials. Holomorphy potentials are certain smooth functions on a compact Kähler...
- imposing complex differentiability in the context of infinite dimensional holomorphy or continuous differentiability in nonlinear analysis. Suppose X {\displaystyle...
- appropriate integrability properties. Tubes over convex sets are domains of holomorphy. The Hardy spaces on tubes over convex cones have an especially rich structure...
- (solid) triangle T contained in the region D. This in fact characterizes holomorphy, i.e. f is holomorphic on D if and only if the above conditions hold....
- Integral equations 46: Functional analysis (including infinite-dimensional holomorphy, integral transforms in distribution spaces) 47: Operator theory 49: Calculus...