ABSTRACT
Chapter 3
H-TRANSFORM ON THE SPACE L
;2
3.1. The H-Transform and the Space L
;r
This and the next chapters deal with the integral transform of the form
Hf
(x) =
Z
H
m;n
p;q
"
xt
(a
i
;
i
)
1;p
(b
j
;
j
)
1;q
#
f(t)dt; (3.1.1)
where H
m;n
p;q
"
z
(a
p
;
p
)
(b
q
;
q
)
#
is the H-function dened in (1.1.1). Such a transform is called an
H-transform.
