Complex algebraic curves with real moduli.
Complex Analogues of the Rolle's Theorem
2000 Mathematics Subject Classification: 30C10.Classical Rolle’s theorem and its analogues for complex algebraic polynomials are discussed. A complex Rolle’s theorem is conjectured.
Complex analysis methods in the theory of infinitesimal bendings of surfaces with a flat point.
Complex Analytic and Formal Solutions of Real Analytic Equations in Cn.
Complex calculus of variations
In this article, we present a detailed study of the complex calculus of variations introduced in [M. Gondran: Calcul des variations complexe et solutions explicites d’équations d’Hamilton–Jacobi complexes. C.R. Acad. Sci., Paris 2001, t. 332, série I]. This calculus is analogous to the conventional calculus of variations, but is applied here to functions in . It is based on new concepts involving the minimum and convexity of a complex function. Such an approach allows us to propose explicit solutions...
Complex continued fractions with restricted entries.
Complex determinantal processes and noise.
Complex dynamics, value distributions, and potential theory.
Complex geodesics
Complex geometry of the universal Teichmüller space.
Complex interpolation for Banach spaces
Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations
Complex oscillation of entire solutions of higher-order linear differential equations.
Complex Oscillation Theory of Differential Polynomials
In this paper, we investigate the relationship between small functions and differential polynomials , where , , are entire functions that are not all equal to zero with
Complex Pisot Numeration Systems
Complexité et géométrie réelle
Components of degree two hyperbolic rational maps.
Composition in ultradifferentiable classes
We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space and the Roumieu space as intersection and union of spaces and for associated weight sequences, respectively.
Composition operator and Sobolev-Lorentz spaces
Let Ω,Ω’ ⊂ ℝⁿ be domains and let f: Ω → Ω’ be a homeomorphism. We show that if the composition operator maps the Sobolev-Lorentz space to for some q ≠ n then f must be a locally bilipschitz mapping.
Composition operators between generally weighted Bloch spaces and space.