Classes du type Sobolev
Classes de protenseurs distributions contravariants
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...
Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .
Colombeau product of currents
Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.
Colombeau's generalized functions on a manifold.
Colombeau's Generalized Functions: Topological Structures; Microlocal Properties. a Simplified Point of View. Part II
Colombeau's theory and shock wave solutions for systems of PDEs.
Commutative differential algebras with an algebraic element
Commutative neutrix convolution products of functions.
Commutative neutrix convolution products of functions
The commutative neutrix convolution product of the functions and is evaluated for and all . Further commutative neutrix convolution products are then deduced.
Compacité par compensation
Compactly supported distributions and unitary representations. (Distributions à support compact et représentations unitaires.)
Compactness in Wiener amalgams on locally compact groups.
Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Complemented kernels of partial differential operators in weighted spaces of (generalized) functions
Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Composing infinitely differentiable functions.
Conical Fourier-Borel transformations for harmonic functionals on the Lie ball
Let L(z) be the Lie norm on and L*(z) the dual Lie norm. We denote by the space of complex harmonic functions on the open Lie ball and by the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.
Constructibilité des solutions des systèmes microdifférentiels