-linear algebra in economics and physics.
-linear operators in quantum mechanics and in economy.
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...
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...
Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
Silva distributions for certain locally compact groups.
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
Slowly decreasing entire functions and convolution equations
Sobolev multipliers
Sobolev's and local derivatives
Solution of some parabolic integro-differential equations by means of the algebraic operational calculus of distributions.
Solution of the parabolic partial differential equation ...-... = f(x, y) by means of algebraic operational calculus of distributions with support in R...
Solution to the triharmonic heat equation.
Solutions of a partial differential equation related to the oplus operator.
Solutions Of Some Parabolic Integro-Differential Equations By Means Of The Algebraic Operational Calculus Of Distributions
Some calculus with extensive quantities: Wave equation.
Some commutative neutrix convolution products of functions.