V. Gichev

activity

20052019

most citedOn flat complete causal Lorentzian manifolds

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

collaborators

12 papers

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.MG2009

Polar representations of compact groups and convex hulls of their orbits

V. Gichev

The paper contains a characterization of compact groups $G\subseteq\GL(V)$, where $V$ is a finite dimensional real vector space, which have the following property \SP{}: the family…

math.FA2009

Invariant function algebras on compact commutative homogeneous spaces

V. M. Gichev

Let $M$ be a commutative homogeneous space of a compact Lie group $G$ and $A$ be a closed $G$ -invariant subalgebra of the Banach algebra $C (M)$ . A function algebra is called antisy…

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…