estimates for the Cauchy transforms of distributions with respect to convex cones
La transformación de Hankel-clifford en ciertos espacios de distribuciones
Laplace -transform of distributions
Laplace transform of distribution-valued functions and its applications
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.
Lattices with real numbers as additive operators [Book]
Les distributions intégrables sur un ouvert de
Les équations de Hua d'un domaine borné symétrique du type tube.
Limiting behaviour of intrinsic seminorms in fractional order Sobolev spaces
We collect and extend results on the limit of as σ → 0⁺ or σ → 1¯, where Ω is ℝⁿ or a smooth bounded domain, k ∈ 0,1, l ∈ ℕ, p ∈ [1,∞), and is the intrinsic seminorm of order l+σ in the Sobolev space . In general, the above limit is equal to , where c and [·] are, respectively, a constant and a seminorm that we explicitly provide. The particular case p = 2 for Ω = ℝⁿ is also examined and the results are then proved by using the Fourier transform.
Linear and bilinear Hilbert transform.
Linear distributional differential equations in the space of regulated functions
In the paper existence and uniqueness results for the linear differential system on the interval [0,1] with distributional coefficients and solutions from the space of regulated functions are obtained.
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Linear operators and operational calculus, Part II
L'involutivité des caractéristiques des systèmes différentiels et microdifférentiels
Local analysis of nonstandard functions of pre-distributional type
Local Operators Between Spaces of Ultradifferentiable Functions and Ultradistributions.
Localisation et multiplicateurs des espaces de Sobolev Homogenes.
Localisations des espaces de Besov