Hamed Mousavi

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20232026

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math.CA2026

Polynomial Ergodic Averages Along Short Intervals

Anastasios Fragkos, Hamed Mousavi, Amelia Stokolosa

We study pointwise convergence of polynomial ergodic averages over short intervals whose left endpoints tend to infinity. For a polynomial orbit of degree $d \geq 2$ and doubly lacun…

math.CA2025

An Approach To Endpoint Problems in Oscillatory Singular Integrals

Alex Iosevich, Ben Krause, Hamed Mousavi

In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from $L^{1} (R)$ to $L^{1, \infty} (R)$ . The methods we us…

math.CA2024

Averages with the Gaussian divisor: Weighted Inequalities and the Pointwise Ergodic Theorem

Christina Giannitsi, Nazar Miheisi, Hamed Mousavi

We discuss the Pointwise Ergodic Theorem for the Gaussian divisor function $d (n)$ , that is, for a measure preserving $Z [i]$ action $T$ , the limit $$\lim_{N\rightarrow \inft…