11 citations · 45 across the 20 of their papers we have counts for
25 papers
Invariant sets of the double Hilbert transform
Evgeny Abakumov, Komla Domelevo, Stefanie Petermichl +1
We present an example that shows that the double Hilbert transform $\H$ can have the characteristic function of an open set of finite measure in as a…
Complex Analysis in completeness, spectral and scattering problems
Alexei Poltoratski
These lectures are aimed at junior researchers seeking to enter the field of applications of complex analysis to harmonic analysis, Fourier analysis, spectral and scattering theory…
A maximal estimate for the non-linear Fourier transform
Alexei Poltoratski
We discuss estimates for the maximal operator associated with the non-linear Fourier transform of an -function on the half-line. For potentials with bounded dyadic masse…
Etudes in the inverse spectral problem, II
Nikolai Makarov, Alexei Poltoratski
We apply the approach developed in our previous papers to obtain examples of solutions to the inverse spectral problem (ISP) for the canonical Hamiltonian system. One of our goals…
Periodic approximations in inverse spectral problems for canonical Hamiltonian systems
Alexei Poltoratski, Ashley Ran Zhang
This note is devoted to inverse spectral problems for canonical Hamiltonian systems on the half-line. An approach to inverse spectral problems based on the use of truncated Toeplit…
Etudes for the inverse spectral problem
Nikolai Makarov, Alexei Poltoratski
In this note we study inverse spectral problems for canonical Hamiltonian systems, which encompass a broad class of second order differential equations on a half-line. Our goal is…