Carleson's theorem is a fundamental result in mathematical analysis establishing the pointwise (Lebesgue) almost everywhere convergence of Fourier series...

stopping times). In the theory of Hardy spaces, Carleson's contributions include the corona theorem (1962), and establishing the almost everywhere convergence...

can also be shown that it converges for almost every x∈ℝ- this is Carleson's theorem, but is much harder to prove than convergence in the mean squared...

diverges everywhere. ATS theorem Carleson's theorem Dirichlet kernel Discrete Fourier transform Fast Fourier transform Fejér's theorem Fourier analysis Fourier...

In mathematics, a Carleson measure is a type of measure on subsets of n-dimensional Euclidean space Rn. Roughly speaking, a Carleson measure on a domain...

In mathematics, the Carleson–Jacobs theorem, introduced by Carleson and Jacobs (1972), describes the best approximation to a continuous function on the...

extension theorem (measure theory) Caristi fixed-point theorem (fixed points) Carleson–Jacobs theorem (complex analysis) Carleson's theorem (harmonic...

It was resolved positively in 1966 by Lennart Carleson. His result, now known as Carleson's theorem, tells the Fourier expansion of any function in...

can be described by Fourier series. For instance, for L2 functions, Carleson's theorem states that they have a pointwise (Lebesgue) almost everywhere convergent...

measure zero. This fact, called Lusins conjecture or Carleson's theorem, was proven in 1966 by L. Carleson. We can however prove a corollary relating which...