Volgograd State University

output

20042009

most citedThe resultant on compact Riemann surfaces

23 citations

researchers with a paper here

A. Khoperskov1 · h 13
D. Bizyaev1 · h 84
M. Vuorinen1 · h 41
N. Tyurina1 · h 15
O. Martio1 · h 36
Vladimir G. Tkachev1
V. Miklyukov1 · h 11
V. Tkachev1 · h 13

collaborating institutions

Statistics FinlandFI1 paper
Svenska Cellulosa (Sweden)SE1 paper
University of HelsinkiFI1 paper
University of TurkuFI1 paper

Showing 2007Show all

3 papers · 1 filter

math.AG2007★ 23 cited

The resultant on compact Riemann surfaces

B. Gustafsson, V. Tkachev

We introduce a notion of resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several int…

math.CV2007

Positive definite collections of disks

Vladimir Tkachev

Let $Q (z, w) = - \prod_{k = 1}^{n} [(z - a_{k}) (w ˉ - a ˉ_{k}) - R_{k}^{2}]$ . M. Putinar and B. Gustafsson proved recently that the matrix $Q (a_{i}, a_{j})$ , $1 \leq i, j \leq n$ , is positive definite i…

math.CA2007

On quasiplanes in Euclidean spaces

Olli Martio, Vladimir M. Miklyukov, Matti Vuorinen

A variational inequality for the images of $k$ -dimensional hyperplanes under quasiconformal maps of the $n$ -dimensional Euclidean space is proved when $1 \leq k \leq n - 2.$