Mikhail Mironov

collaborators

4 papers

math.FA2025

Shift-invariant sampling in two-sided small Fock spaces

Yurii Belov, Mikhail Mironov

We consider the sampling problem for two-sided small Fock spaces $F_{α}^{p}$ , for the full range $0 < p \leq \infty$ . We establish a geometric description of shift-invariant s…

math.FA2025

A uniform approach to complete interpolating sequences for small Fock spaces with $p > 0$

Mikhail Mironov

We study complete interpolating sequences in two types of small Fock spaces, $F_{α +}^{p}$ and $F_{α}^{p}$ , for $0 < p \leq \infty$ . One-sided small Fock spaces $\mathc…

math.FA2024

The isomorphism problem for analytic discs with self-crossings on the boundary

Mikhail Mironov

Suppose $V$ is the unit disc $D$ embedded in the $d$ -dimensional unit ball $B_{d}$ and attached to the unit sphere. Consider the space $H_{V}$ , the restrict…

math.FA2024

Hilbert function spaces and multiplier algebras of analytic discs

Mikhail Mironov

The thesis is devoted to two related problems. 1. The isomorphism problem for analytic discs: Suppose $V$ is the unit disc $D$ embedded in the $d$ -dimensional unit ball $\…

Shift-invariant sampling in two-sided small Fock spaces

A uniform approach to complete interpolating sequences for small Fock spaces with p>0

The isomorphism problem for analytic discs with self-crossings on the boundary

Hilbert function spaces and multiplier algebras of analytic discs

A uniform approach to complete interpolating sequences for small Fock spaces with $p > 0$