ABSTRACT
Fs(v) ¼ Fs{ f (t)} ¼ ð1 0
f (t) sinvt dt
f (t) ¼ F1s {Fs(v)} ¼ 2 p
Fs(v) sinvt dv
(4:1)
assuming, of course, that the integrals exist (see Table 4.2).
The infinite Fourier cosine transform(FCT) of f(t), 0 < t <1, and its inverse are definedby
Fc(v) ¼ Fc{ f (t)} ¼ ð1 0
f (t) cosvt dt
f (t) ¼ F1c {Fc(v)} ¼ 2 p
Fc(v) cosvt dv
(4:2)
assuming, of course, that the integrals exist (see Table 4.1).
