Complete asymptotics for correlations of Laplace integrals in the semi-classical limit
Completely monotone functions of finite order and Agler's conditions
Motivated by some structural properties of Drury-Arveson d-shift, we investigate a class of functions consisting of polynomials and completely monotone functions defined on the semi-group ℕ of non-negative integers, and its operator-theoretic counterpart which we refer to as the class of completely hypercontractive tuples of finite order. We obtain a Lévy-Khinchin type integral representation for the spherical generating tuples associated with such operator tuples and discuss its applications.
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - I.
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - II.
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - III.
Convolution equations in the space of Laplace distributions
A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
Convolution operators for the one-sided Laplace transformation
Convolution Products in L1(R+), Integral Transforms and Fractional Calculus
Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER and Project E-12/25 of D.G.A.
Convolution Quadrature and Discretized Operational Calculus. I.
Creep and Stress Relaxation in a Viscoelasticity Theory with Derivatives of Fractional Order
Das Wachstumsverhalten ganzer Funktionen unter Voraussetzungen über ihre Laplace-Transformierte.
Démonstration probabiliste d'une identité de convolution
Derangements and asymptotics of the Laplace transforms of large powers of a polynomial.
Discrete fractional calculus with the nabla operator.
Discrete limit theorems for the Laplace transform of the Riemann zeta-function
In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.
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...
Distributionen mit Werten in topologischen Vektorräumen II.
Exponentielles et fonctionnelles de Schwinger en analyse gaussienne non commutative
Extensions of Laplace transform spaces and their topologies
Fourier -transform of distributions