Uncertainty principle for the Riemann-Liouville operator

Abstract

A Beurling-Hormander theorem's is proved for the Fourier transform connected with the Riemann-Liouville operator. Nextly, Gelfand-Shilov and Cowling-Price type theorems are established.Se demuestra el teorema de Beurling-Hormander por la transformada de Fourier conectada con el operador de Riemann-Liouville. Ademas, se establecen teoremas tipo de Gelfand-Shilov y Cowling-Price.

Keywords

• Beurling-Hormander theorem
• Gelfand-Shilov theorem
• Cowling- Price theorem
• Fourier transform
• Riemann-Liouville operator