-linear algebra in economics and physics.
-linear operators in quantum mechanics and in economy.
S-asymptotic expansion of distribution.
Schranken für verschränkte Faltungsoperatoren..
Schwartz kernel theorem in algebras of generalized functions
A new approach to the generalization of Schwartz’s kernel theorem to Colombeau algebras of generalized functions is given. It is based on linear maps from algebras of classical functions to algebras of generalized ones. In particular, this approach enables one to give a meaning to certain hypotheses in preceding similar work on this theorem. Results based on the properties of -generalized functions class are given. A straightforward relationship between the classical and the generalized versions...
Schwartz Kernels on Siegel II Domains.
Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
S'-convolvability with the Poisson kernel in the Euclidean case and the product domain case
We obtain real-variable and complex-variable formulas for the integral of an integrable distribution in the n-dimensional case. These formulas involve specific versions of the Cauchy kernel and the Poisson kernel, namely, the Euclidean version and the product domain version. We interpret the real-variable formulas as integrals of S’-convolutions. We characterize those tempered distribution that are S’-convolvable with the Poisson kernel in the Euclidean case and the product domain case. As an application...
Semilinear geometric optics for generalized solutions.
Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
Sequence spaces with exponent weights. Realizations of Colombeau type algebras [Book]
Sheaf theory and regularity. Application to local and microlocal analysis
A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.
Silva distributions for certain locally compact groups.
Silva tempered ultradistributions
Singular perturbations of ordinary differential equations in Colombeau spaces
Singular Products of Distributions.
Singular Products of Distributions.
Singular spectrum of products of distributions at points
Singularités non dégénérées des systèmes de Gauss-Manin réticulés
Slowly decreasing entire functions and convolution equations