Generalization of the Titchmarsh’s theorem for the second Hankel-Clifford transformation

نویسندگان
Radouan, Daher ID 1
Mahfoud, Ayoub ID 2
El Hamma, Mohamed ID 3

1 Laboratoire Mathematiques et Appliqu\'es, Faculte des sciences Ain Chock, Universite Hassan II, Casablanca, Morocco

2 Laboratoire Mathematiques et Appliqu\'es, Faculte des sciences Ain Chock, Universite Hassan II, Casablanca, Morocco

3 Laboratoire Mathematiques et Appliqu\'es, Faculte des sciences Ain Chock, Universite Hassan II, Casablanca, Morocco

doi
10.22075/ijnaa.2022.23123.2479
چکیده

Using a generalized translation operator, we obtain an analogue of Titchmarsh's theorem for the second Hankel-Clifford transformation for functions satisfying the second Hankel-Clifford  Lipschitz condition in the space $L_{\mu}^{2}((0,+\infty),x^{\mu})$.

کلیدواژه‌ها
Generalized translation operator, Second Hankel-Clifford transformation, Second Hankel-Clifford Lipschitz class