Harmonic analysis associated with the modified Cherednik type operator on the real line and Paley-Wiener theorems for its Hartley transform

• Hatem Mejjaoli ^[1]
  1. [1] Taibah University

     Taibah University

     Arabia Saudí

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 135-162
• Idioma: inglés
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• Resumen

  • We consider a new differential-difference operator Λ on the real line. We study the harmonic analysis associated with this operator. Next, we establish the Paley-Wiener theorems for its Hartley transform on R.