4 citations · 4 across the 2 of their papers we have counts for
6 papers
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…
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…
L-convex-concave sets in real projective space and L-duality
A. Khovanskii, D. Novikov
We define a class of L-convex-concave subsets of , where L is a projective subspace of dimension l in . These are sets whose sections by any (l+1)-dimension…
On affine hypersurfaces with everywhere nondegenerate Second Quadratic Form
A. Khovanskii, D. Novikov
Consider a closed connected hypersurface in with constant signature (k,l) of the second quadratic form, and approaching a quadratic cone at infinity. This hypersurfa…
Convex-concave body in contains a line
A. Khovanskii, D. Novikov
We define a class of -convex-concave subsets of , where is a projective line in . These are sets whose sections by any plane containing are…
Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions
D. Novikov
An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coe…