2 papers
math.SP2025
Sums of projections with random coefficients
Leonid Pastur, Alexander Pushnitski
We study infinite sums \[ {\mathcal P}_{\varkappa}=\sum_{n=-\infty}^\infty \varkappa_n \langle\cdot, Ï_n\rangleÏ_n \] of rank-one projections in a Hilbert space, where $\{Ï_n\}_…
math.SP2025
Ergodic Hankel operators
Leonid Pastur, Alexander Pushnitski
We introduce a new class of operators: ergodic families of self-adjoint Hankel operators realised as integral operators on the half-line. Inspired by the spectral theory of differe…