Distribution differential equations. Regularization and bending of a rod.
Distributional and Operational Integral Homogeneity over Local Fields.
Distributions invariant under compact Lie groups
Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen.
Elastodynamic singular points and their applications.
Entrelacement de co-Poisson
On connaît le lien intime qui existe entre les équations fonctionnelles des fonctions et les formules sommatoires dont le prototype est donné par celle de Poisson. Ce lien fait intervenir la transformation intégrale de Fourier et ses généralisations. Ici, nous réexaminons la signification harmonique (ainsi qu’hilbertienne et distributionnelle) des équations fonctionnelles ayant la forme la plus simple, à savoir, celle s’appliquant pour la fonction dzêta de Riemann et les séries de Dirichlet...
Extension of Continuous Functionals
Fonctions Généralisées et Analyse Non Standard.
Formes multilinéaires sur des sous-espaces de distributions
Gelfand transform for a Boehmian space of analytic functions
Let denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...
Generalized solutions of ordinary linear differential equations in the Colombeau algebra
In this paper first order systems of linear of ODEs are considered. It is shown that these systems admit unique solutions in the Colombeau algebra .
Generalizzazione di una proposizione di analisi funtoriale. Un'applicazione
Géométrie des distributions à support fini
Harmonic analysis on the one-sheet hyperboloid and multiperipheral inclusive distributions
Infrared catastrophe in a massless Feynman function
Integralzerlegungen positiv definiter Distributionen auf nilpotenten Liegruppen.
Introduction aux théories des distributions en dimension infinie
Invariance par difféomorphisme d'espace de Sobolev. Espace de Sobolev d'une variété. Applications
Konstruktion von Fundamentallösungen für Convolutoren in Roumieuschen Ultradistributionsräumen.
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.