Group Actions on the Solutions of Linear Partial Differential Equations.
spaces over open subsets of
Hankel transforms in generalized Fock spaces.
Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02.
Hilbert Spaces of Distributions Having an Orthogonal Basis of Exponentials.
Holomorphic extension maps for spaces of Whitney jets.
The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C∞-functions on an open subset of Rn. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of Rn into a space of holomorphic functions on an open subset D of Cn such that D ∩ Rn = RnF.
Identification of the support for the generalized functions.
Inhomogeneous Gevrey ultradistributions and Cauchy problem
Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.
Invariant states on Borchers' tensor algebra
Kernel theorems in spaces of generalized functions
In analogy to the classical isomorphism between ((ℝⁿ), and (resp. and ), we show that a large class of moderate linear mappings acting between the space of compactly supported generalized functions and (ℝⁿ) of generalized functions (resp. the space of Colombeau rapidly decreasing generalized functions and the space of temperate ones) admits generalized integral representations, with kernels belonging to specific regular subspaces of (resp. ). The main novelty is to use accelerated...
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
Local analysis of nonstandard functions of pre-distributional type
Localisation et multiplicateurs des espaces de Sobolev Homogenes.
Localisations des espaces de Besov
Lokalkonvexe Sequenzen mit kompakten Abbildungen.
Manifolds of smooth maps
Minimal bi-invariant Hilbert subspaces of distributions on nilpotent Lie groups.