6 papers
The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics
Adem Limani
These lecture notes are devoted to selected topics related to the uncertainty principle in harmonic analysis. Rather than attempting a systematic treatment, we emphasize only a num…
Asymmetric uniqueness sets in
Adem Limani, Tomas Persson
We exhibit an asymmetry phenomenon for uniqueness sets in . Specifically, we construct sets that do not support measures with -summable Fourier coefficients, yet si…
Generic measures with slowly decaying Fourier coefficients
Adem Limani
We investigate threshold phenomena in weighted -spaces and characterize the critical regimes where elements with either small support or maximally bad range can be construc…
Summable analogous to the Ivashev-Musatov Theorems
Adem Limani
We investigate summable analogues of the classical Ivashev-Musatov Theorem and threshold phenomenons alike. In the setting of weighted and Orlicz sequence spaces, we exhib…
A generic threshold phenomena in weighted
Adem Limani
We consider threshold phenomenons in the context of weighted -spaces. Our main result is a summable Baire category version of Körner's topological Ivashev-Musatov Theorem,…
Asymptotic polynomial approximation in the Bloch space
Adem Limani
We investigate asymptotic polynomial approximation for a class of weighted Bloch functions in the unit disc. Our main result is a structural theorem on asymptotic polynomial approx…