Generalization of Titchmarsh’s theorem and Dini  Lipschitz theorem for the  Kontorovich-Lebedev-Clifford transform

FANTASSE Yassine; Abdellatif Akhlidj; Abdelaali Dades

doi:10.5269/bspm.78876

Generalization of Titchmarsh’s theorem and Dini Lipschitz theorem for the Kontorovich-Lebedev-Clifford transform

FANTASSE Yassine mathématiques
Abdellatif Akhlidj
Abdelaali Dades

Resumo

By employing a generalized dual translation operator, we establish an analog
of Titchmarsh’s theorem and the Dini-Lipschitz theorem for the Kontorovich
Lebedev-Clifford transform. These results are derived for functions
f ∈L¹ (R+;x⁻¹dx) ∩ L² (R+;x⁻¹dx).