2 citations · 2 across the 5 of their papers we have counts for
8 papers
Invariant function algebras on compact commutative homogeneous spaces
V. M. Gichev
Let be a commutative homogeneous space of a compact Lie group and be a closed -invariant subalgebra of the Banach algebra . A function algebra is called antisy…
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…
Orbits of tori extended by finite groups and their polynomial hulls: the case of connected complex orbits
V. M. Gichev
Let be a complex linear space, $G\subset\GL(V)$ be a compact group. We consider the problem of description of polynomial hulls $\wh{Gv}$ for orbits , , assuming tha…
Maximal ideal spaces of invariant function algebras on compact groups
V. M. Gichev
The paper contains a description of the maximal ideal spaces (spectra) $\cM_A$ of bi-invariant function algebras on a compact group . There are natural compatible structures…
On complete affine structures in Lie groups
V. M. Gichev
Left invariant affine structures in a Lie group are in one-to-one correspondence with left-symmetric algebras over its Lie algebra (``over'' means that the c…
A note on common zeroes of Laplace--Beltrami eigenfunctions
V. M. Gichev
Let $\De u+\la u=\De v+\la v=0$, where $\De$ is the Laplace--Beltrami operator on a compact connected smooth manifold and $\la>0$. If then there exists such…