Generalizations of non-commutative neutrix convolution products of functions.
Generalized Bochner-Schwartz theorem for tempered ultradistributions.
Generalized densities and distributional adjoints of natural operators.
Generalized Fourier expansions for distributions and ultradistributions.
Generalized functions and their applications.
Generalized Solution to a Semilinear Hyperbolic System with a Non-Lipshitz Nonlinearity.
Generalized solutions of Volterra integral equations of the first kind.
Generalized solutions of Volterra integral equations of the first kind.
Generalized Solutions to Cauchy Problems.
Generalized Solutions to Semilinear Hyperbolic Systems.
Generalized Taylor expansions of singular functions
Global And Local Saturated Theorems In Some Spaces Of Temperate Functions
Global and local saturation theorems in some spaces of temperate functions.
Green function and Fourier transform for o-plus operators.
Group Actions on the Solutions of Linear Partial Differential Equations.
Harmonic spaces associated with adjoints of linear elliptic operators
Let be an elliptic linear operator in a domain in . We imposse only weak regularity conditions on the coefficients. Then the adjoint exists in the sense of distributions, and we start by deducing a regularity theorem for distribution solutions of equations of type given distribution. We then apply to R.M. Hervé’s theory of adjoint harmonic spaces. Some other properties of are also studied. The results generalize earlier work of the author.
Hereditarily periodic distributions
Hilbert space valued generalized random processes. II.
Homogeneous distributions in .
Homogenous distributions on spaces of Hermitean matrices.