| Autor: |
Mannai, Mehrez, Negzaoui, Selma |
| Předmět: |
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| Zdroj: |
Analysis (0174-4747); Nov2024, Vol. 44 Issue 4, p295-309, 15p |
| Abstrakt: |
The aim of this paper is to prove a generalization of Titchmarsh's theorems for the generalized Fourier transform called ( κ , n )-Fourier transform, where n is a positive integer and κ is a constant coming from Dunkl theory. As an application, we derive a (κ , n) -Fourier multiplier theorem for L 2 Lipschitz spaces. Moreover, we give necessary conditions to ensure that f belongs to either one of the generalized Lipschitz classes of order m. This allows us to establish the analogue of the Boas-type result for ℱ κ , n . [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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