48 citations · 145 across the 12 of their papers we have counts for
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math.SP2013
On higher-order Szego theorems with a single critical point of arbitrary order
Milivoje Lukic
We prove the following higher-order Szego theorems: if a measure on the unit circle has absolutely continuous part and Verblunsky coefficients with square-summable varia…
math.SP2013
Wigner-von Neumann type perturbations of periodic Schrödinger Operators
Milivoje Lukic, Darren C. Ong
We consider decaying oscillatory perturbations of periodic Schrödinger operators on the half line. More precisely, the perturbations we study satisfy a generalized bounded variatio…
math.SP2013
Square-summable variation and absolutely continuous spectrum
Milivoje Lukic
Recent results of Denisov and Kaluzhny-Shamis describe the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an l^2 bounded variation condition with ste…