M. Mardanbeigi

collaborators

5 papers

math.GN2025

Closed graph property and Khalimsky spaces

Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi, Mohammad Reza Mardanbeigi

In the following text for Khalimsky $n -$ dimensional space $K^{n}$ we show self--map $f : K^{n} \to K^{n}$ has closed graph if and only if there exist integers $…

math.DS2019

On proximal relations in transformation semigroups arising from generalized shifts

Fatemah Ayatollah Zadeh Shirazi, Amir Fallahpour, Mohammad Reza Mardanbeigi +1

For a finite discrete topological space $X$ with at least two elements, a nonempty set $Γ$ , and a map $φ : Γ \to Γ$ , $σ_{φ} : X^{Γ} \to X^{Γ}$ with $σ_{φ} ((x_{α})_{α \in Γ}) = (x_{φ (α)})_{α \in Γ}$ (for…

math.FA2019

Frame measures for infinitely many measures

Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, Mohammad Reza Mardanbeigi

For every frame spectral measure $μ$ , there exists a discrete measure $ν$ as a frame measure. Since if $μ$ is not a frame spectral measure, then there is not any general stateme…

math.FA2019

The effect of perturbations of frames on their alternate and approximately dual frames

M. Hajiabootorabi, H. Javanshiri, M. R. Mardanbeigi

Approximately dual frames as a generalization of duality notion in Hilbert spaces have applications in Gabor systems, wavelets, coorbit theory and sensor modeling. In recent years,…

math.FA2019

Generalized Bessel and Frame Measures

Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, Mohammad Reza Mardanbeigi +1

Considering a finite Borel measure $μ$ on $R^{d}$ , a pair of conjugate exponents $p, q$ , and a compatible semi-inner product on $L^{p} (μ)$ , we introduce $(p, q)$ -Besse…