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The topology of the spaces of regular and absolutely regular Hankel-transformable distributions

✍ Scribed by C. Jerez; I. Marrero

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 197 KB
Volume: 278
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310262

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✦ Synopsis

Abstract

📜 SIMILAR VOLUMES

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Regular and absolutely regular Hankel-transformable distributions

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## Abstract We describe the spaces of regular and absolutely regular Hankel‐transformable distributions and discuss their interrelations. Several topologies on those spaces are proposed and examined. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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its space of convolution operators, and let O O be the predual of O O X . We prove , ࠻ , ࠻ that the topology of uniform convergence on bounded subsets of H H and the strong dual toplogy coincide on O O X . Our technique, involving Mackey topologies, differs , ࠻ from, and is simpler than, those usual

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✍ Vu Kim Tuan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 263 KB

The range of the Hankel and extended Hankel transforms on some spaces of functions is described. The Paley᎐Wiener theorem for the Hankel transform is also obtained.

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## Abstract A new complete approach to the multiport formulation of the state‐space equations of uniquely solvable regular or strictly topologically degenerate linear lumped time‐invariant networks is presented. It is based on a __Gedankenexperiment__ during which the topological structure of the o

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In this paper we establish the topological regularity of the solution set of differential inclusions with constraints, defined in \(\mathbb{R}^{n}\). The result is then extended to systems defined in Banach spaces. Our proof makes use of an approximation result by Lipschitz functions of Caratheodory

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✍ Stéphane Jaffard; Yves Meyer 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 165 KB

We bound the spectrum of singularities of functions in the critical Besov spaces, and we show that this result is sharp, in the sense that equality in the bounds holds for quasi-every function of the corresponding Besov space.