Analytic Functions with Bounded Mean Oscillation and Logarithms of HP Functions.
Analytic Geometry on Real Algebraic Curves.
Analytic interpolation and the degree constraint
Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to...
Analytic mappings between two ultrahyperelliptic surfaces.
Analytic mappings between two ultrahyperelliptic surfaces. (Short Communication).
Analytic potential theory over the -adics
Over a non-archimedean local field the absolute value, raised to any positive power , is a negative definite function and generates (the analogue of) the symmetric stable process. For , this process is transient with potential operator given by M. Riesz’ kernel. We develop this potential theory purely analytically and in an explicit manner, obtaining special features afforded by the non-archimedean setting ; e.g. Harnack’s inequality becomes an equality.
Analytic rings
Analytic roots of invertible matrix functions.
Analytic Self-Mapping Reducing to the Identity Mapping
Analytic solutions of a nonlinear two variables difference system whose eigenvalues are both 1
For nonlinear difference equations, it is difficult to obtain analytic solutions, especially when all the eigenvalues of the equation are of absolute value 1. We consider a second order nonlinear difference equation which can be transformed into the following simultaneous system of nonlinear difference equations: ⎧ x(t+1) = X(x(t),y(t)) ⎨ ⎩ y(t+1) = Y(x(t), y(t)) where , satisfy some conditions. For these equations, we have obtained analytic solutions in the cases "|λ₁| ≠ 1 or |λ₂| ≠ 1" or "μ...
Analytic solutions of Böttcher's functional equation in the unit disk.
Analytic solutions of -th order differential equations at a singular point.
Analyticity of Hausdorff dimension of limit sets of Kleinian groups.
Angle distortion theorems for starlike and spirallike functions with respect to a boundary point.
Angles and quasiconformal mappings on Riemannian manifolds
Angular estimations of certain integral operators.
Angular Limits of Holomorphic Functions Which Satisfy an Integrability Condition.
Angular limits of the integrals of the Cauchy type
Integrals of the Cauchy type extended over the boundary of a general compact set in the complex plane are investigated. Necessary and sufficient conditions on are established guaranteeing the existence of angular limits of these integrals at a fixed for all densities satisfying a Hölder-type condition at .
Anneau de cohomologie entière et -théorie d’un produit symétrique d’une surface de Riemann
Annular bounds for polynomial zeros and Schur stability of difference equations.