Adem Limani

collaborators

5 papers

math.CA2026

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…

math.CA2026

Asymmetric uniqueness sets in $ℓ^{q}$

Adem Limani, Tomas Persson

We exhibit an asymmetry phenomenon for uniqueness sets in $ℓ^{q}$ . Specifically, we construct sets that do not support measures with $ℓ^{q}$ -summable Fourier coefficients, yet si…

math.FA2026

Generic measures with slowly decaying Fourier coefficients

Adem Limani

We investigate threshold phenomena in weighted $ℓ^{2}$ -spaces and characterize the critical regimes where elements with either small support or maximally bad range can be construc…

math.FA2025

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 $ℓ^{1}$ and Orlicz sequence spaces, we exhib…

math.FA2025

A generic threshold phenomena in weighted $ℓ^{2}$

Adem Limani

We consider threshold phenomenons in the context of weighted $ℓ^{2}$ -spaces. Our main result is a summable Baire category version of KÃ¶rner's topological Ivashev-Musatov Theorem,…

The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics

Asymmetric uniqueness sets in ℓq

Generic measures with slowly decaying Fourier coefficients

Summable analogous to the Ivashev-Musatov Theorems

A generic threshold phenomena in weighted ℓ2

Asymmetric uniqueness sets in $ℓ^{q}$

A generic threshold phenomena in weighted $ℓ^{2}$