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Displaying 21 –
40 of
163
We study the rank–2 distributions satisfying so-called
Goursat condition (GC); that is to say, codimension–2 differential systems
forming with their derived systems a flag. Firstly, we restate in a clear
way the main result of[7] giving preliminary local forms of such systems.
Secondly – and this is the main part of the paper – in dimension 7 and 8
we explain which constants in those local forms can be made 0, normalizing
the remaining ones to 1. All constructed equivalences are explicit.
...
In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger...
The paper deals with the relation between global rational approximation and local approximation off the zero set. Also connections with the problem f2 ∈ R(X) ⇒ f ∈ R(X) are studied.
Let ⨍ be an analytic function on a compact subset K of the complex plane ℂ, and let denote the rational function of degree n with poles at the points and interpolating ⨍ at the points . We investigate how these points should be chosen to guarantee the convergence of to ⨍ as n → ∞ for all functions ⨍ analytic on K. When K has no “holes” (see [8] and [3]), it is possible to choose the poles without limit points on K. In this paper we study the case of general compact sets K, when such a separation...
Pseudozeros are useful to describe how perturbations of polynomial
coefficients affect its zeros. We compare two types of pseudozero
sets: the complex and the real pseudozero sets.
These sets differ with respect to the type of perturbations.
The first set – complex perturbations of a complex polynomial – has been
intensively studied while the second one – real perturbations of a real
polynomial – seems to have received little attention.
We present a computable formula for the real pseudozero...
We prove a version of the real Koebe principle for interval (or circle) maps with non-flat critical points.
Given a closed Riemann surface R of genus p ≥ 2 together with an anticonformal involution τ : R ---> R with fixed points, we consider the group K(R, τ) consisting of the conformal and anticonformal automorphisms of R which commute with τ...
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