On regular temperature distribution
On representation of temperate distributions
On sequentially M-integrable distributions
On some classes of infinitely decomposable Sobolev-Schwartz test functions
On some spaces of distributions
On tempered convolution operators
In this paper we show that if is a convolution operator in , and , then the zeros of the Fourier transform of are of bounded order. Then we discuss relations between the topologies of the space of convolution operators on . Finally, we give sufficient conditions for convergence in the space of convolution operators in and in its dual.
On the Bézout equation in the ring of periodic distributions
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.
On the canonical extensions for distributions in the space
On the continuity of quotient multipliers
On the Fourier transform, Boehmians, and distributions
We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
On the orders of the extensions of linear functionals to distributions
On the range of convolution operators on non-quasianalytic ultradifferentiable functions
Let denote the non-quasianalytic class of Beurling type on an open set Ω in . For the surjectivity of the convolution operator is characterized by various conditions, e.g. in terms of a convexity property of the pair and the existence of a fundamental solution for μ or equivalently by a slowly decreasing condition for the Fourier-Laplace transform of μ. Similar conditions characterize the surjectivity of a convolution operator between ultradistributions of Roumieu type whenever . These...
On the singular support of distributions and Fourier transforms on symmetric spaces
On the space D'(l) of sequential distributions.
On the structure of certain ultradistributions.
On the structure of the ultradistributions of Beurling type.
On the support of Fourier transform of weighted distributions
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
On the ultradistributions of Beurling type.
On the value of a distribution at a point
On the Value of a Distribution at a Point.