A characterization of spectral operators of finite type
A Distribution - Theoretic Proof of Kirillov's Character Formula for Nilpotent Lie Groups.
A General Character Formula for Irreducible Projections on L2 of a Nilmanifold.
A generalization of entropy equation: homogeneous entropies
A new of looking at distributional estimates; applications for the bilinear Hilbert transform.
Distributional estimates for the Carleson operator acting on characteristic functions of measurable sets of finite measure were obtained by Hunt. In this article we describe a simple method that yields such estimates for general operators acting on one or more functions. As an application we discuss how distributional estimates are obtained for the linear and bilinear Hilbert transform. These distributional estimates show that the square root of the bilinear Hilbert transform is exponentially lntegrable...
A note on distribution spaces on manifolds.
A Note On Orthogonal Expansions In Multidimensional Case
A sheaf of Boehmians
We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
A spectral analysis of automorphic distributions and Poisson summation formulas
Automorphic distributions are distributions on , invariant under the linear action of the group . Combs are characterized by the additional requirement of being measures supported in : their decomposition into homogeneous components involves the family , of Eisenstein distributions, and the coefficients of the decomposition are given as Dirichlet series . Functional equations of the usual (Hecke) kind relative to turn out to be equivalent to the invariance of the comb under some modification...
Abelian theorems for transformable Boehmians.
Applications of the Dirac sequences in mechanics.
Borel's theorem for generalized functions
Classes du type Sobolev
Classes de protenseurs distributions contravariants
Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Décomposition microlocale analytique des distributions
Décomposition microlocale analytique des distributions
Nous dirons qu’un faisceau de groupes abéliens sur un espace topologique est souple si, étant un ouvert de , et des fermés de , toute section de sur à support dans est somme de sections à support dans et . Soit une variété analytique réelle, son fibré cotangent en sphères, le faisceau sur des microfonctions qui proviennent localement sur , de distributions. Nous montrons que le faisceau est souple. En particulier le faisceau sur , quotient des distributions par...
Der Satz von Bochner-Schwartz für Ultradistributionen.
Dérivées de densité d'une prodistribution
Die Weilsche "Explizite Formel" und temperierte Distributionen.