A characterization of sets of functions and distributions on described by constraints on the gradient.
A characterization of the generalized Meijer transform.
A characterization of the space
A Complex Characterization of the Schwartz Space D (...).
A Convolution Connected with the Kontorovich-Lebedev Transform.
A family of Kučera spaces
A general approximation theorem of Whitney type.
We show that Whitney?s approximation theorem holds in a general setting including spaces of (ultra)differentiable functions and ultradistributions. This is used to obtain real analytic modifications for differentiable functions including optimal estimates. Finally, a surjectivity criterion for continuous linear operators between Fréchet sheaves is deduced, which can be applied to the boundary value problem for holomorphic functions and to convolution operators in spaces of ultradifferentiable functions...
A generalized Meijer transformation.
A limit involving functions in
We point out the following fact: if Ω ⊂ is a bounded open set, δ>0, and p>1, then , where
A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions
A method of approximation of spaces of generalized functions
A new Approach to Temperate Generalized Colombeau Functions
A nonstandard realization of the J.S. Silva axiomatic theory of distributions
A note on distribution spaces on manifolds.
A note on some spaces of distributions with Laplace transform.
A note on the distributional boundary values of analytic functions
A note on the spaces and .
A note on the spaces of type q-dimensional case
A Paley-Wiener type theorem for generalized non-quasianalytic classes
Let P be a hypoelliptic polynomial. We consider classes of ultradifferentiable functions with respect to the iterates of the partial differential operator P(D) and prove that such classes satisfy a Paley-Wiener type theorem. These classes and the corresponding test spaces are nuclear.
A real variable characterization of