I. Krishtal

activity

20072026

most citedExact Reconstruction of Spatially Undersampled Signals in Evolutionary Systems

55 citations · 161 across the 27 of their papers we have counts for

collaborators

33 papers

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.DS2026

Sobolev mixing constants and compactness in rational moduli space

Alastair Fletcher, Ilya Krishtal

We study uniformity of Sobolev mixing estimates for rational maps and uniformly quasiregular mappings. For rational maps of fixed degree, the optimal centered Sobolev trace constan…

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.…

math.FA2026

Block Diagonal Carleson Frames

Ilya Krishtal, Brendan Miller

We introduce \textit{block diagonal Carleson frames}, i.e. singly generated dynamical frames in which the generating operator is block diagonal. We classify all such frames when th…