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math.CA2005★ 4 cited
Hahn decomposition and Radon-Nikodym theorem with a parameter
D. Novikov
The paper contains a simple proof of the classical Hahn decomposition theorem for charges and, as a corollary, an explicit measurable in parameter construction of a Radon-Nikodym d…
math.CA2003
Oscillation of Fourier Integrals with a spectral gap
A. Eremenko, D. Novikov
Suppose that Fourier transform of a function f is zero on the interval [-a,a]. We prove that the lower density of sign changes of f is at least a/pi, provided that f is a locally i…