ON HANKEL TYPE CONVOLUTION OPERATORS
| Autor: | null B. B. Waphare, R. Z. Shaikh, null N. M. Rane |
|---|---|
| Rok vydání: | 2022 |
| Zdroj: | jnanabha. 52:158-164 |
| ISSN: | 2455-7463 0304-9892 |
| Popis: | Let H′α,β be the Zemanian type space of Hankel transformable generalised functions and let O′α,β,* be the space of Hankel convolution operators for H′α,β . This H′α,β is the dual of a subspace H′α,β of O′α,β,* for which O′α,β,* is also the space of Hankel convolution. In this paper the elements of O′α,β,* are characterised as those in L(Hα,β) and in L(H′α,β) that commute with Hankel translations. Moreover, necessary and sufficient condition on the generalised Hankel type transform h′α,βS of S ∈ O′α,β,* are established in order that every T ∈ O′α,β,* such that S ∗ T ∈ Hα,β lie in H′α,β. |
| Databáze: | OpenAIRE |
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