Explore: Carleman Theorem

C n M {\displaystyle g\circ f\in C_{n}^{M}} . The Denjoy–Carleman theorem, proved by Carleman (1926) after Denjoy (1921) gave some partial results, gives

one of the steps in the proof of the Denjoy–Carleman theorem in Carleman (1926), he introduced the Carleman inequality ∑ n = 1 ∞ ( a 1 a 2 ⋯ a n ) 1 /

region. Watson's theorem and Carleman's theorem show that Borel summation produces such a best possible sum of the series. Watson's theorem gives conditions

The Denjoy–Carleman–Ahlfors theorem is a mathematical theorem that states that the number of asymptotic values attained by a non-constant entire function

Carleman's inequality is an inequality in mathematics, named after Torsten Carleman, who proved it in 1923 and used it to prove the Denjoy–Carleman theorem

analysis) Darboux's theorem (real analysis) Denjoy–Carleman theorem (functional analysis) Denjoy-Young-Saks theorem (real analysis) Dini's theorem (analysis) Divergence

Denjoy's theorem may refer to several theorems proved by Arnaud Denjoy, including Denjoy–Carleman theorem Denjoy–Koksma inequality Denjoy–Luzin theorem Denjoy–Luzin–Saks

Denjoy–Young–Saks theorem Denjoy–Carleman theorem Denjoy–Carleman–Ahlfors theorem Denjoy's theorem on rotation number Denjoy–Koksma inequality Denjoy–Wolff theorem "Denjoy

coherent sheaves are separated. Andreotti, Aldo; Vesentini, Edoardo (1965), "Carleman estimates for the Laplace-Beltrami equation on complex manifolds", Publications

discovered by Torsten Carleman in 1922. For the Hamburger moment problem (the moment problem on the whole real line), the theorem states the following: