holomorphy
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Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… … Wikipedia
Domain of holomorphy — The sets in the definition. In mathematics, in the theory of functions of several complex variables, a domain of holomorphy is a set which is maximal in the sense that there exists a holomorphic function on this set which cannot be extended to a… … Wikipedia
Supersymmetry nonrenormalization theorems — In theoretical physics a nonrenormalization theorem is a limitation on how a certain quantity in the classical description of a quantum field theory may be modified by renormalization in the full quantum theory. Renormalization theorems are… … Wikipedia
Mathematics Subject Classification — The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme collaboratively produced by staff of and based on the coverage of the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH.… … Wikipedia
Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… … Wikipedia
Identity theorem — In complex analysis, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D , if f = g on some neighborhood of z that is in D , then f = g on D . Thus a holomorphic function is… … Wikipedia
Antiderivative (complex analysis) — In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex valued function g is a function whose complex derivative is g. More precisely, given an open set U in the complex plane and a function the antiderivative … Wikipedia
Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex … Wikipedia
Analytic continuation — In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where … Wikipedia
Pole (complex analysis) — The absolute value of the Gamma function. This shows that a function becomes infinite at the poles (left). On the right, the Gamma function does not have poles, it just increases quickly. In the mathematical field of complex analysis, a pole of a … Wikipedia
