Lower Schwarz-Pick estimates and angular derivatives.
Lower-dimensional decompositions using complex variables
The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.
Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
Löwnersche Differentialgleichung und Schlichtheitskriterien.
Low-rank tensor representation of Slater-type and Hydrogen-like orbitals
The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...
Lp extremal polynomials. Results and perspectives
2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze...
Lusin's condition (N) and mappings of the class W1, n.
Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces
A theorem of Lusin states that every Borel function onRis equal almost everywhere to the derivative of a continuous function. This result was later generalized to Rn in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of these results on a large class of metric measure spaces, those with doubling measures and Poincaré inequalities, which admit a form of differentiation by a famous theorem of Cheeger.
Lyapunov Exponents of Rank -Variations of Hodge Structures and Modular Embeddings
If the monodromy representation of a VHS over a hyperbolic curve stabilizes a rank two subspace, there is a single non-negative Lyapunov exponent associated with it. We derive an explicit formula using only the representation in the case when the monodromy is discrete.
Majoration de la norme des facteurs d'un polynôme
Majoration de la norme des facteurs d'un polynôme : cas où toutes les racines du polynôme sont réelles
Majoration du nombre de zéros d’une somme polynomiale d’exponentielles -adiques
Majorations effectives
Majorization for certain classes of analytic functions.
Majorization for certain classes of meromorphic functions defined by integral operator
Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin.
Majorization problem for a subclass of -valently analytic functions defined by the Wright generalized hypergeometric function
Majorization problems for certain analytic functions.
Mapping properties for convolutions involving hypergeometric functions.
Mapping properties of a class of univalent functions with pre-assigned zero and pole
Mapping properties of Fatou components.