Harmonic Analysis, Generalized Wavelets and the Generalized Continuous

Chapter

ABSTRACT

We consider the average R(f) of a function f over a sphere with radius r and center at the point (0,y) ∈ [0,+∞[ × ℝ ⁿ, in the hyperplan x = 0. The operator R is called spherical mean operator.

Harmonic Analysis, Generalized Wavelets and the Generalized Continuous Wavelet Transform Associated with the Spherical Mean Operator

ABSTRACT