ABSTRACT
Chapter 8
BESSEL TYPE INTEGRAL TRANSFORMS
ON THE SPACE L
;r
8.1. The Hankel Transform
We consider the Hankel integral transform dened in (2.6.1) by
H
f
(x) =
Z
(xt)
1=2
J
(xt)f(t)dt (x > 0) (8.1.1)
for Re() > 1. This transform (8.1.1) is clearly dened for a continuous function f 2 C
with compact support on R
+
for the range of parameters indicated.
