Javad Mashreghi

most citedCharacterization of frames for source recovery from dynamical samples

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math.FA2026

Mesoscopic redundancy for dynamical frames generated by atomic singular model operators

Ilya Krishtal, Javad Mashreghi

Consider the compressed shift $T = P_{K_{θ}} M_{z} ∣_{K_{θ}}$ on $K_{θ} = H^{2} ⊖ θ H^{2}$ associated with the atomic singular inner function $θ (z) = exp (- a (ζ + z) / (ζ - z))$ , $a > 0$ and $∣ ζ ∣ = 1$ . Let $k…

math.FA2026

Finite-orbit obstructions for multipliers on the polydisk

Ilya Krishtal, Javad Mashreghi, Prateek Kumar Vishwakarma

We study the closed spans of finitely many joint orbits of holomorphic multipliers on the Hardy space $H^{2} (D^{d})$ of the polydisk. If fewer than $d$ symbols are used, every…

math.FA2026

Sectorial Finitely Generated Dynamical Frames

Ilya Krishtal, Javad Mashreghi, Brendan Miller

We study frames of unilateral iterations generated by finitely many vectors under an invertible bounded operator $T$ . Suppose that the spectrum of $T$ lies in $\{ρe^{it}:0<ρ\le1,\…

math.FA2026

Frames from Functional Calculus

Ilya Krishtal, Javad Mashreghi, Brendan Miller

We introduce frames generated by applying families of functions to a diagonal operator through functional calculus, with diagonal entries forming a Carleson interpolating sequence.…