Arnaud Denjoy
Encyclopedia
Arnaud Denjoy was a French
mathematician
.
Denjoy was born in Auch
, Gers
. His contributions include work in harmonic analysis
and differential equation
s. His integral was the first to be able to integrate all derivative
s. Among his students is Gustave Choquet
.
Denjoy died in Paris in 1974.
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Denjoy was born in Auch
Auch
Auch is a commune in southwestern France. Located in the region of Midi-Pyrénées, it is the capital of the Gers department. Auch is the historical capital of Gascony.-The Ausci:...
, Gers
Gers
The Gers is a department in the Midi-Pyrénées region in the southwest of France named after the Gers River.Inhabitants are called les Gersois or Gersoises.-History:...
. His contributions include work in harmonic analysis
Harmonic analysis
Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. It investigates and generalizes the notions of Fourier series and Fourier transforms...
and differential equation
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...
s. His integral was the first to be able to integrate all derivative
Derivative
In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a...
s. Among his students is Gustave Choquet
Gustave Choquet
Gustave Choquet was a French mathematician.Choquet was born in Solesmes, Nord. His contributions include work in functional analysis, potential theory, topology and measure theory...
.
Denjoy died in Paris in 1974.
See also
- Denjoy diffeomorphismDenjoy diffeomorphismIn mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Arnaud Denjoy proved the theorem in the course of his topological classification of homeomorphisms...
- Henstock–Kurzweil integral
- Denjoy theorem
- Denjoy–Carleman theorem
- Denjoy's theorem on rotation number
- Denjoy–Koksma inequality
- Denjoy–Wolff theorem