Study of a generalized integral operator
Su certe formule d'inversione della trasformata di Laplace per distribuzioni
Substitution relations for Laplace transformations.
Sull'analisi numerica delle trasformate di Laplace delle funzioni di Anger e di Weber
Summation of series via Laplace transforms.
We consider a forced differential difference equation and by the use of Laplace Transform Theory generate non-hypergeometric type series which we prove may be expressed in closed form.
Summation of slowly convergent series
Among the applications of orthogonal polynomials described briefly on my previous visit to this Center [9, §3.2] were slowly convergent series whose terms could be represented in terms of the Laplace transform at integer arguments. We proposed to sum such series by means of Gaussian quadrature rules applied to suitable integrals involving weight functions of Einstein and Fermi type (cf. [13]). In the meantime it transpired that the technique is applicable to a large class of numerical series and,...
Sumudu transform fundamental properties investigations and applications.
Sur la séparabilité et la continuité des fonctions aléatoires
Sur la transformation d’Abel-Radon des courants localement résiduels
After recalling the definitions of the Abel-Radon transformation of currents and of locally residual currents, we show that the Abel-Radon transform of a locally residual current remains locally residual. Then a theorem of P. Griffiths, G. Henkin and M. Passare (cf. [7], [9] and [10]) can be formulated as follows :Let be a domain of the grassmannian variety of complex -planes in , be the corresponding linearly -concave domain of , and be a locally residual current of bidegree ....
Sur la transformation de Radon de la sphère
Sur le théorème de M. Jensen
Sur l’équation pour un noyau de convolution
Sur les séries formelles solutions d'équations aux différences polynomiales
Dans cet article, nous montrons que toute série formelle (en ), resp. toute série de factorielles formelle, solution d’une équation linéaire aux différences finies à coefficients polynômes est Gevrey d’un ordre qui peut se lire sur un, ou plutôt deux, polygone(s) de Newton convenable(s). Nous calculons également l’indice d’un tel opérateur agissant sur des espaces de séries Gevrey factorielles ou ordinaires.
Sur les transformées de Fourier radiales
Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type
Let denote the space of all ω-ultradifferentiable functions of Roumieu type on an open interval I in ℝ. In the special case ω(t) = t we get the real-analytic functions on I. For with one can define the convolution operator , . We give a characterization of the surjectivity of for quasianalytic classes , where I = ℝ or I is an open, bounded interval in ℝ. This characterization is given in terms of the distribution of zeros of the Fourier Laplace transform of μ.
Systems of multi-dimensional Laplace transforms and a heat equation.