Przeglądaj 2009, Studia Mathematica 8 według tytułu
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Annales Universitatis Paedagogicae Cracoviensis. 70. Studia Mathematica 8
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2009) -
Bounding symbolic powers via asymptotic multiplier ideals
(2009)We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and subsequently improved by Takagi-Yoshida. We show that the original argument of [6] actually gives the same improvement. On the other hand, we show ... -
A combinatorial proof of non-speciality of systems with at most 9 imposed base points
(2009)It is known that the Segre-Gimigliano-Harbourne-Hirschowitz Conjecture holds for linear systems of curves with at most 9 imposed base fat points. We give a nice proof based on a combinatorial method of showing non-speciality ... -
Explicit solution of a class of Riemann-Hilbert problems
(2009)Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented. The solutions are expressed, up to a finite number of accessory parameters, as non-singular ... -
Kinetic equation for a gas with attractive forces as a functional equation
(2009)Diffusion problems studied in the time scale comparable with time of particles collision lead to kinetic equations which for step-wise potentials are functional equations in the velocity space. After a survey of derivation ... -
A note on some iterative roots
(2009)In this paper some orientation-preserving iterative roots of an orientation-preserving homeomorphism $F:S^1 ⟶ S^1$ which possess periodic points of order $n$ are considered. Namely, iterative roots with periodic points ... -
On a multivalued second order differential problem with Jensen multifunction
(2009)The aim of this paper is to present a generalization of the results published in [5] and [8] for continuous Jensen multifunctions. In particular, we study a second order differential problem for multifunctions with the ... -
On some equations stemming from quadrature rules
(2009)We deal with fun tional equations of the type \[F(y) − F(x) = (y − x) \sum_{k=1}^nf_k((1 − λ_k)x + λ_ky),\] connected to quadrature rules and, in particular, we find the solutions of the following functional equation \[f(x) ... -
Regulated functions and integrability
(2009)Properties of functions defined on a bounded closed interval, weaker than continuity, have been considered by many mathematicians. Functions having both sides limits at each point are called regulated and were considered ...