Distributional solutions in information theory, I
Distributional solutions in information theory, II
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...
Distributionen auf dem RN als Randverteilungen holomorpher Funktionen.
Distributionen mit Werten in topologischen Vektorräumen I.
Distributionen mit Werten in topologischen Vektorräumen II.
Distributions centrales sur
Distributions homogènes sur des espaces de matrices
Distributions homogènes sur une algèbre de Jordan
Distributions invariant under compact Lie groups
Distributions on Kronecker sets, strong forms of uniqueness, and closed ideals of A+.
Distributions that are functions
It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that in many cases...
Distribuzioni funtoriali in una variabile quasi periodiche
Disuguaglianze di Sobolev nello spazio iperbolico bidimensionale
Ditkin sets in homogeneous spaces
Ditkin sets for the Fourier algebra A(G/K), where K is a compact subgroup of a locally compact group G, are studied. The main results discussed are injection theorems, direct image theorems and the relation between Ditkin sets and operator Ditkin sets and, in the compact case, the inverse projection theorem for strong Ditkin sets and the relation between strong Ditkin sets for the Fourier algebra and the Varopoulos algebra. Results on unions of Ditkin sets and on tensor products are also given.
Ditkin's Condition and Primary Ideals in Central Beurling Algebras.
Ditkin's Theorem and ...SIN...-Groups.
Divergent vector sequences {yₙ} with Δyₙ → 0
An approximation property of divergent sequences in normed vector spaces is discussed.
Divisibility Structure and Finitely Generated Ideals in the Disc Algebra.