An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator

Subject Areas : International Journal of Mathematical Modelling & Computations

Loualid  El Mehdi ¹ (university)

Received: 2016-10-23 Accepted : 2017-01-24 Published : 2016-11-01

Keywords: Dunkl transform, Morgan's theorem, generalized Fourier transform, Generalized Dunkl operator, Heisenberg inequality,

Abstract :

The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.