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Generalized Hermitean ultradistributions

C. Andrade, L. Loura (2009)

Mathematica Bohemica

In this paper we define, by duality methods, a space of ultradistributions $_{ω}^{'} (ℝ^{N})$ . This space contains all tempered distributions and is closed under derivatives, complex translations and Fourier transform. Moreover, it contains some multipole series and all entire functions of order less than two. The method used to construct $𝔾_{ω}^{'} (ℝ^{N})$ led us to a detailed study, presented at the beginning of the paper, of the duals of infinite dimensional locally convex spaces that are inductive limits of finite dimensional...

Generalized precompactness and mixed topologies.

Jurie Conradie (1993)

Collectanea Mathematica

The equicontinuous sets of locally convex generalized inducted limit (or mixed) topologies are characterized as generalized precompact sets. Uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces are investigated and it is shown that order precompactness and mixed topologies can be used to great advantage in the study of these topologies.

Displaying 1 – 5 of 5

Generalized Hermitean ultradistributions

Generalized precompactness and mixed topologies.

Geometry of nuclear spaces - I

Geometry of nuclear spaces. II - Linear topological invariants

Geometry of nuclear spaces. III - Spaces of holomorphic functions

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