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On Possible Deterioration of Smoothness under the Operation of Convolution

✍ Scribed by A.Muhammed Uludağ

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
245 KB
Volume
227
Category
Article
ISSN
0022-247X

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✦ Synopsis

We give some sufficient conditions of deterioration of smoothness under the operation of convolution. We show that the convolution of two probability densities which are restrictions to ‫ޒ‬ of entire functions can possess infinite essential supremum on each interval.

📜 SIMILAR VOLUMES

On the Topology of the Space of Hankel C
On the Topology of the Space of Hankel Convolution Operators
✍ J.J. Betancor; I. Marrero 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 145 KB

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