188 citations · 327 across the 48 of their papers we have counts for
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An inverse spectral problem for non-compact Hankel operators with simple spectrum
Patrick Gérard, Alexander Pushnitski, Sergei Treil
We consider an inverse spectral problem for a class of non-compact Hankel operators such that the modulus of (restricted onto the orthogonal complement to its kernel) has s…
The spectral density of Hardy kernel matrices
Alexander Pushnitski
We consider infinite matrices obtained by restricting Hardy integral kernels to natural numbers. For a suitable class of Hardy kernels we describe the absolutely continuous spectru…
Szegő-type limit theorems for "multiplicative Toeplitz" operators and non-Følner approximations
Nikolai Nikolski, Alexander Pushnitski
We discuss an analogue of the First Szegő Limit Theorem for multiplicative Toeplitz operators and highlight the role of the multliplicative Følner condition in this topic.
The structure of Schmidt subspaces of Hankel operators: a short proof
Alexander Pushnitski, Patrick Gerard
We give a short proof of the main result of our previous paper [2]: every Schmidt subspace of a Hankel operator is the image of a model space by an isometric multiplier. This class…
Restriction theorems for Hankel operators
Nazar Miheisi, Alexander Pushnitski
We consider a class of maps from integral Hankel operators to Hankel matrices, which we call restriction maps. In the simplest case, such a map is simply a restriction of the integ…
On the spectrum of the multiplicative Hilbert matrix
Karl-Mikael Perfekt, Alexander Pushnitski
We study the multiplicative Hilbert matrix, i.e. the infinite matrix with entries for . This matrix was recently introduced within the context…