Friedrich Hartogs
Encyclopedia
Friedrich Moritz Hartogs (20 May 1874, Brussels
–18 August 1943, Munich
) was a German
-Jewish mathematician, known for work on set theory
and foundational results on several complex variables
.
Brussels
Brussels , officially the Brussels Region or Brussels-Capital Region , is the capital of Belgium and the de facto capital of the European Union...
–18 August 1943, Munich
Munich
Munich The city's motto is "" . Before 2006, it was "Weltstadt mit Herz" . Its native name, , is derived from the Old High German Munichen, meaning "by the monks' place". The city's name derives from the monks of the Benedictine order who founded the city; hence the monk depicted on the city's coat...
) was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
-Jewish mathematician, known for work on set theory
Set theory
Set theory is the branch of mathematics that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics...
and foundational results on several complex variables
Several complex variables
The theory of functions of several complex variables is the branch of mathematics dealing with functionson the space Cn of n-tuples of complex numbers...
.
See also
- Hartogs domain
- Hartogs–Laurent expansion
- Hartogs' lemma
- Hartogs' extension theoremHartogs' extension theoremIn mathematics, precisely in the theory of functions of several complex variables, Hartogs' extension theorem is a statement about the singularities of holomorphic functions of several variables...
- Hartogs numberHartogs numberIn mathematics, specifically in axiomatic set theory, a Hartogs number is a particular kind of cardinal number. It was shown by Friedrich Hartogs in 1915, from ZF alone , that there is a least well-ordered cardinal greater than a given well-ordered cardinal.To define the Hartogs number of a set it...
- Hartogs' theoremHartogs' theoremIn mathematics, Hartogs' theorem is a fundamental result of Friedrich Hartogs in the theory of several complex variables. Roughly speaking, it states that a 'separately analytic' function is continuous...
- Hartogs–Rosenthal theoremHartogs–Rosenthal theoremIn mathematics, the Hartogs–Rosenthal theorem is a classical result in complex analysis on the uniform approximation of continuous functions on compact subsets of the complex plane by rational functions...