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We consider the space $^{ℳ}$ of ultradifferentiable functions with compact supports and the space of polynomials on $^{ℳ}$ . A description of the space $(^{ℳ})$ of polynomial ultradistributions as a locally convex direct sum is given.

The a-tempered derivative and some spaces of exponential distributions.

Pilipović, Stevan (1983)

Publications de l'Institut Mathématique. Nouvelle Série

The Cauchy problem for an inclusion in Banach spaces and distribution spaces.

Mel'nikova, I.V. (2001)

Sibirskij Matematicheskij Zhurnal

The kernel theorem for Laplace ultradistributions

Sławomir Michalik (2001)

Annales Polonici Mathematici

A kernel theorem for spaces of Laplace ultradistributions supported by an n-dimensional cone of product type is stated and proved.

The Kontorovich-Lebedev Transformation of Distributions.

Ram S. Pathak, Jagdish N. Pandey (1979)

Mathematische Zeitschrift

The $n$ -field-irreducible part of a $n$ -point functional

Erwin Brüning (1981)

Annales de l'I.H.P. Physique théorique

The non-Archimedean Laplace transform.

De Grande-De Kimpe, N., Khrennikov, A.Yu. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

The space $D (U)$ is not $B_{r}$ -complete

Manuel Valdivia (1977)

Annales de l'institut Fourier

Certain classes of locally convex space having non complete separated quotients are studied and consequently results about $B_{r}$ -completeness are obtained. In particular the space of L. Schwartz $D (Ω)$ is not $B_{r}$ -complete where $Ω$ denotes a non-empty open set of the euclidean space $R^{m}$ .

The Space of Distributions D' (...) is not Br- Complete.

M. Valdivia (1974)

Mathematische Annalen

The space of Laplace transformable distributions

Swartz, Charles (1970)

Portugaliae mathematica

The spaces $𝒪_{M}$ and $𝒪_{C}$ are ultrabornological. A new proof.

Kučera, Jan (1985)

International Journal of Mathematics and Mathematical Sciences

The Stieltjes transform of distributions.

Tiwari, U.N., Pandey, J.N. (1979)

International Journal of Mathematics and Mathematical Sciences

The tempered ultra-distributions of J. Sebastião e Silva

Carmichael, D. Richard (1977)

Portugaliae mathematica

Topological classification of strong duals to nuclear (LF)-spaces

Taras Banakh (2000)

Studia Mathematica

We show that the strong dual X’ to an infinite-dimensional nuclear (LF)-space is homeomorphic to one of the spaces: $ℝ^{ω}$ , $ℝ^{\infty}$ , $Q \times ℝ^{\infty}$ , $ℝ^{ω} \times ℝ^{\infty}$ , or ${(ℝ^{\infty})}^{ω}$ , where $ℝ^{\infty} = l i m ℝ^{n}$ and $Q = {[- 1, 1]}^{ω}$ . In particular, the Schwartz space D’ of distributions is homeomorphic to ${(ℝ^{\infty})}^{ω}$ . As a by-product of the proof we deduce that each infinite-dimensional locally convex space which is a direct limit of metrizable compacta is homeomorphic either to $ℝ^{\infty}$ or to $Q \times ℝ^{\infty}$ . In particular, the strong dual to any metrizable infinite-dimensional Montel space is homeomorphic either...

Topology in nonlinear extensions of hypernumbers.

Burgin, M.S. (2005)

Discrete Dynamics in Nature and Society

Trace de Cauchy pour certaines founctions localement intégrables sur un ouvert borné de C.

Iban Harlouchet (2004)

Publicacions Matemàtiques

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