V. Gichev

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20052019

most citedOn flat complete causal Lorentzian manifolds

2 citations · 3 across the 11 of their papers we have counts for

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math.CA2019

Factorization of special harmonic polynomials of three variables

Victor Gichev

We consider harmonic polynomials of real variables $x, y, z$ that are eigenfunctions of the rotations about the axis $z$ . They have the form $(x \pm y i)^{n} p (x, y, z)$ , where $p$ is a r…

math.CA2015

Decomposition of the Kostlan--Shub--Smale model for random polynomials

V. Gichev

Let $\cP_n$ be the space of homogeneous polynomials of degree $n$ on $R^{m + 1}$ . We consider the asymptotic behavior of some coefficients relating to the decomposition of $\cP_n$…

math.CA2012

Metric properties in the mean of polynomials on compact isotropy irreducible homogeneous spaces

V. M. Gichev

Let $M = G / H$ be a compact connected isotropy irreducible Riemannian homogeneous manifold, where $G$ is a compact Lie group (may be, disconnected) acting on $M$ by isometries. This c…

math.CA2007

Some remarks on spherical harmonics

V. M. Gichev

The article contains several observations on spherical harmonics and their nodal sets: a construction for harmonics with prescribed zeroes; a kind of canonical representation of th…