Boundary values of ultra-distributions of exponential type
Boundedness of the wavelet transform in certain function spaces.
Characterization of Hankel transformable generalized functions.
Characterization of the range of the Radon transform on homogeneous trees.
Constructible sheaves, Whitney functions and Schwartz's distributions
Continuity of the Radon Transform and its Inverse on Euclidean Space.
Convergence structures and -asymptotic behaviour of Fourier hyperfunctions.
Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Convolution in -space
Convolution operators for the one-sided Laplace transformation
Convolution operators on Kucera-type spaces for the Hankel transformation
Convolution, product and Fourier transform of distributions
Darstellung temperierter vektorwertiger Distributionen durch holomorphe Funktionen II.
Deuxième microlocalisation à croissance
Distributional boundary values in . II
Distributional boundary values in (IV)
Distributional boundary values in . V
Distributional versions of Littlewood's Tauberian theorem
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We employ two types of Tauberian hypotheses; the first kind involves distributional boundedness, while the second type imposes a one-sided assumption on the Cesàro behavior of the distribution. We apply these Tauberian results to deduce a number of Tauberian theorems for power series and Stieltjes integrals where Cesàro summability follows from Abel...
Distributionally regulated functions
We study the class of distributions in one variable that have distributional lateral limits at every point, but which have no Dirac delta functions or derivatives at any point, the "distributionally regulated functions." We also consider the related class where Dirac delta functions are allowed. We prove several results on the boundary behavior of functions of two variables F(x,y), x ∈ ℝ, y>0, with F(x,0⁺) = f(x) distributionally, both near points where the distributional point value exists and...