We study the uncertainty principle associated with the Klein–Gordon equation. As in the previous work [Ann. of Math. 173 ...

In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical ...

For a smooth curve Γ and a set Λ in the plane R2, let AC(Γ; Λ) be the space of finite Borel measures in the plane supported ...

Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. ...

A Heisenberg uniqueness pair (HUP) is a pair (Γ, Λ), where Γ is a curve in the plane and Λ is a set in the plane, with the ...

It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach ...

An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper ...

In these lectures I shall give an account of some recent results and open problems relating to subspaces of square integrable ...

We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z z 0 f(ζ)g0 (ζ) dζ, where g is analytic on the disc and the operator Tg = zVg acts on spaces of analytic functions.

In this paper we use an α-Carleson measure and a vanishing Carleson measure to characterize bounded and compact composition operators on weighted Bergman-Nevanlinna spaces.

Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. In this more general framework, ...

We review the Chang-Marshall inequality of Moser-Trudinger type for the Dirichlet space. We then use a weaker version of ...

We characterize all linear fractional maps of the disk into itself in terms of their coefficients. We also prove the formula ...

A plausible conjecture is that Banach algebras with trivial cohomology have to be semisimple and finite dimensional. In ...

The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to ...

A descriptive characterization of point, continuous, and residual spectra of operators acting on a separable Hilbert space is obtained. The possible point spectra of bounded linear operators acting on lp, 1 < p < ∞ are characterized.

Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with ...

A subspace X of the Hardy space H1 is said to have the K-property if for any ψ ∈ H∞, the Toeplitz operator Tψ maps X into ...

We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic ...

A classical theorem of Birkhoff asserts that there exists an entire function f such that the sequence of function {/(z + ...

"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos ...