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- N. Nikolov
- 2007

We first note that a result of Gowers on product-free sets in groups has an unexpected consequence: If k is the minimal degree of a representation of the finite group G, then for every subset B of G with |B| > |G|/k 1 3 we have B 3 = G. We use this to obtain improved versions of recent deep theorems of Helfgott and of Shalev concerning product… (More)

- Bohumír Blažek, Siraj A Misbah, +6 authors Nikolai Nikolov
- Immunotherapy
- 2015

AIM
To document the therapeutic efficacy and safety of Human Normal Immunoglobulin 10% Liquid (KIOVIG(®)/GAMMAGARD LIQUID(®) [IVIG 10%]) under clinical routine conditions.
PATIENTS & METHODS
Subjects received IVIG 10% according to the prescribing information and were followed for 6 ± 1 weeks to 12 ± 2 months depending on indication. Efficacy, adverse… (More)

- N. Nikolov
- 2005

We prove that the universal lattices – the groups G = SL d (R) where R = Z[x1,. .. , x k ], have property τ for d ≥ 3. This provides the first example of linear groups with τ which do not come from arithmetic groups. We also give a lower bound for the τ-constant with respect to the natural generating set of G. Our methods are based on bounded elementary… (More)

- NIKOLAI NIKOLOV, LODZIMIERZ ZWONEK
- 2008

We prove that Lempert function is not a distance on the symmetrized polydisc in dimension greater than two.

- NIKOLAI NIKOLOV, Peter Pflug, Marek Jarnicki
- 2005

We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains. The set G n = σ n (D n) is called the symmetrized n-disc. The sym-metrized bidisc G 2 is the first example of a bounded pseudoconvex domain, which is not biholomorphic to any convex domain and on which the Carathéodory and Kobayashi distances coincide (see… (More)

- NIKOLAI NIKOLOV, PETER PFLUG
- 2006

We prove that the (2n−1)-th Kobayashi pseudometric of any domain D ⊂ C n coincides with the Kobayashi–Buseman pseudometric of D, and that 2n − 1 is the optimal number, in general.

- NIKOLAI NIKOLOV, LODZIMIERZ ZWONEK
- 2004

We study the problem of the product property for the Lempert function with many poles and consider some properties of this function mostly for plane domains.

- NIKOLAI NIKOLOV, PETER PFLUG
- 2004

We prove that the multipole Lempert function is monotone under inclusion of pole sets. Let D be a domain in C n and let A = (a j) l j=1 , 1 ≤ l ≤ ∞, be a countable (i.e. l = ∞) or a non–empty finite subset of D (i.e. l ∈ N). Moreover, fix a function p : D −→ R + with |p| := {a ∈ D : p(a) > 0} = A. p is called a pole function for A on D and |p| its pole set.… (More)

- NIKOLAI NIKOLOV, PETER PFLUG
- 2008

We show that if the Kobayashi–Royden metric of a complex manifold is continuous and positive at a given point and any non-zero tangent vector, then the " derivatives " of the higher order Lempert functions exist and equal the respective Kobayashi metrics at the point. It is a generalization of a result by M. Kobaya-shi for taut manifolds.

- Nikolai Nikolov, Peter Pflug, Pascal J. Thomas, NIKOLAI NIKOLOV
- 2009

We discuss some extremal bases for C-convex domains.