H-holomorfne funkcije
Higher order Euler-like methods.
Higher order Schwarzian derivatives in interval dynamics
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up...
Higher Schwarzian operators and combinatorics of the Schwarzian derivative.
Higher-order linear differential equations with solutions having a prescribed sequence of zeros and lying in the Dirichlet space
The aim of this paper is to consider the following three problems:i (1) for a given uniformly q-separated sequence satisfying certain conditions, find a coefficient function A(z) analytic in the unit disc such that f”’ + A(z)f = 0 possesses a solution having zeros precisely at the points of this sequence; (2) find necessary and sufficient conditions for the differential equation (*) in the unit disc to be Blaschke-oscillatory; (3) find sufficient conditions on the analytic coefficients of the...
Hilbert-Smith Conjecture for K - Quasiconformal Groups
MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Hitchin' s self-duality equations on complete Riemannian manifolds.
Hochschild homology and cohomology of Klein surfaces.
Hölder continuity of conformal mappings and non-quasiconformal Jordan curves.
Holomorphe Störungstheorie in lokalkonvexen Räumen.
Holomorphic extension of a function whose odd derivatives are summable
Holomorphic Families of Open Riemann Surfaces.
Holomorphic Functions with Mean p-valent Derivatives.
Holomorphic Lipschitz functions in balls.
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Holomorphic motions commuting with semigroups
A holomorphic family , |z|<1, of injections of a compact set E into the Riemann sphere can be extended to a holomorphic family of homeomorphisms , |z|<1, of the Riemann sphere. (An earlier result of the author.) It is shown below that there exist extensions which, in addition, commute with some holomorphic families of holomorphic endomorphisms of , |z|<1 (under suitable assumptions). The classes of covering maps and maps with the path lifting property are discussed.
Holomorphic Relative Inverses of Operator Valued Functions.
Holomorphic series expansion of functions of Carleman type
Let f be a holomorphic function of Carleman type in a bounded convex domain D of the plane. We show that f can be expanded in a series f = ∑ₙfₙ, where fₙ is a holomorphic function in Dₙ satisfying for some constants C > 0 and 0 < ϱ < 1, and where (Dₙ)ₙ is a suitably chosen sequence of decreasing neighborhoods of the closure of D. Conversely, if f admits such an expansion then f is of Carleman type. The decrease of the sequence Dₙ characterizes the smoothness of f.
Holomorphic solutions of an inhomogeneous Cauchy equation.
Holomorphically Closed Algebras of Analytic Functions.