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New spaces of functions and hyperfunctions for Hankel transforms and convolutions

✍ Scribed by Jorge J. Betancor; Claudio Jerez; Sandra M. Molina; Lourdes Rodríguez-Mesa


Publisher
Springer Vienna
Year
2007
Tongue
English
Weight
139 KB
Volume
153
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


Generalized convolutions for the Hankel
✍ Lyubov' E. Britvina 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 132 KB

## Abstract The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform H__ν__ [__f__ ](__x__) with the following factorization properties: equation image Conditions for the existence of the constru

Stability of functional equations in the
✍ Jaeyoung Chung 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 187 KB

Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.