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6 results on '"Geometric function theory"'

1. Transformée en échelle de signaux stationnaires

Author

Alpay, Daniel and Mboup, Mamadou

Subjects
*SIGNALS & signaling, *DISCRETE-time systems, *LINEAR systems, *GEOMETRIC function theory, *MATHEMATICAL analysis
Abstract

Abstract: Using the scale transform of a discrete time signal we define a new family of linear systems. We focus on a particular case related to function theory in the bidisk. To cite this article: D. Alpay, M. Mboup, C. R. Acad. Sci. Paris, Ser. I 347 (2009). [Copyright &y& Elsevier]

Published
2009
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2. Conditions d'optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l'état et une commande scalaires

Author

Bonnans, J. Frédéric and Hermant, Audrey

Subjects
*MATHEMATICAL variables, *ARBITRARY constants, *QUADRATIC equations, *GEOMETRIC function theory, *MATHEMATICS
Abstract

Abstract: This Note deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing us to characterize second-order quadratic growth. To cite this article: J.F. Bonnans, A. Hermant, C. R. Acad. Sci. Paris, Ser. I 343 (2006). [Copyright &y& Elsevier]

Published
2006
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3. Quelques aspects de l'écoulement potentiel autour d'un corps en rotation

Author

Scolan, Yves-Marie

Subjects
*CONFORMAL mapping, *GEOMETRIC function theory, *MATHEMATICAL mappings, *MATRICES (Mathematics), *INERTIA (Mechanics)
Abstract

Abstract: On the basis of simple conformal mappings, we present a method to describe a two-dimensional potential flow around a rotating obstacle of arbitrary section. As a result, a simplified expression of the matrix of added mass and added moment of inertia is obtained. We also underline the need to determine this perturbation potential all over the fluid domain. Indeed, this is of practical interest in order to express the hydrodynamic moment in incompressible viscous flow. To cite this article: Y.-M. Scolan, C. R. Mecanique 333 (2005). [Copyright &y& Elsevier]

Published
2005
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4. Interpolation and the Hardy space on the homogeneous dyadic tree: the stationary case

Author

Alpay, Daniel and Volok, Dan

Subjects
*ANALYTIC functions, *HARDY spaces, *GEOMETRIC function theory
Abstract

We define a function theory and a Hardy space on the dyadic tree, which extend in a natural way the notion of analytic functions, Cauchy''s formula and the case of the Hardy space of the open unit disk. We define Blaschke factors in this setting and prove an homogeneous interpolation theorem in this setting. To cite this article: D. Alpay, D. Volok, C. R. Acad. Sci. Paris, Ser. I 336 (2003). [Copyright &y& Elsevier]

Published
2003
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5. On the Hermite polynomial of a matrix argument

Author

Bakali, Allal. and Daâmache, Taib.

Subjects
*HERMITE polynomials, *ORTHOGONAL polynomials, *GEOMETRIC function theory
Abstract

We define Hermite polynomials of a matrix argument. We use the coefficients of the “essential representation” of the affine group of transformation of Rm, to prove some important properties of those polynomes and their associated functions. To cite this article: A. Bakali, T. Daaˆmache, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1051–1054. [Copyright &y& Elsevier]

Published
2002
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6. Déformation localisée de surfaces de Riemann

Author

Peter Haïssinsky

Subjects
Teichmüller space, Geometric function theory, Simple closed curves, General Mathematics, Riemann surface, Mathematical analysis, Closure (topology), Boundary (topology), Space (mathematics), Mathematics::Geometric Topology, Riemann–Hurwitz formula, symbols.namesake, Simply connected space, symbols, Teichmüller theory, Hyperbolic geometry, Mathematics
Abstract

Let Y be a Riemann surface with compact boundary embedded into a hyperbolic Riemann surface of finite type X. It is proved that the space of deformations D of Y into X is an open subset of the Teichmüller space T (X) of X. Furthermore, D has compact closure if and only if Y is simply connected or isomorphic to a punctured disk, and D = T (X) if and only if the components of X \ Y are all disks or punctured disks.

Published
2005

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