Multiresolution Analysis and Haar Wavelets on the Laguerre Hypergroup

الملخص EN

Let ℍn be the Heisenberg group.

The fundamental manifold of the radial function space for ℍn can be denoted by [0,+∞)×ℝ, which is just the Laguerre hypergroup.

In this paper the multiresolution analysis on the Laguerre hypergroup ?=[0,+∞)×ℝ is defined.

Moreover the properties of Haar wavelet bases for La2(?) are investigated.