ABSTRACT
We are interested in the following questions. 1) If f ( t ) G A?(M), then what integral properties on the whole plane has func
tion (1)? (Direct setting.) 2) W hat integral properties of an entire function F ( z ) imply its representability
in form (1) with f ( t ) G L£(M)? (Inverse setting.) Always, in this chapter, we assume a > 0, > 1, l / a r + l / / ? = l , K ( f f a) =
^ _ 1( t t a ) " ^ a , z — x -j-iy. Let us note a useful property: c — K(f3,a) =>> a = A"(a, c).
