ABSTRACT
We define the Fourier-Bessel transform of a regular function f on [0, +00 [, by
where ja(Xx) is the normalized Bessel function studied in Chapter 1 and
This transform has been called in [15] [69] [78] Hankel-Stieltjes transform and in [44]
[46] [50] Hankel transform. The transform JFg is related to the Fourier-cosine transform studied in
Chapter 3 by the relation
Where W^ is the Weyl integral transform given in Chapter 2.
