Lacunary convergence of series in L0 revisited.
A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.
Lacunary series in spaces
Under mild conditions on the weight function K we characterize lacunary series in the so-called spaces.
Lacunary statistical convergence on probabilistic normed spaces.
Lacunary weak statistical convergence
The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and -convergence to weak -convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.
Lagrange approximation in Banach spaces
Starting from Lagrange interpolation of the exponential function in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials for representable functions defined on a Banach space . Given such a representable entire funtion , in order to study the approximation problem and the uniform convergence of these polynomials to on bounded sets of , we present a sufficient growth condition on the interpolating...
Lambert multipliers between spaces
In this paper Lambert multipliers acting between spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.
L’analogue dans des théorèmes de convexité de M. Riesz et G. O. Thorin
Landau type theoerem for Orlicz spaces.
Landau-type inequalities and -bounded solutions of neutral delay systems.
Landstad's characterization for full crossed products.
Langages à valeurs réelles et applications
Lanstad Duality for C*-Coactions.
Laplace -transform of distributions
Laplace transform of distribution-valued functions and its applications
Laplace transform of exponentially Lipschitzian vector-valued functions
Laplace transform of Laplace hyperfunctions and its applications.
Laplace ultradistributions on a half line and a strong quasi-analyticity principle
Several representations of the space of Laplace ultradistributions supported by a half line are given. A strong version of the quasi-analyticity principle of Phragmén-Lindelöf type is derived.
Laplace ultradistributions supported by a cone
The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.
Large analytic functions III
Large deviations and isoperimetry over convex probability measures with heavy tails.