f (x), , , . .
:
1) , , .
2) f (x) , f (ax) .
3) f (x)- , , ( ), . . a b .
.
f (x) :
(1)
, :
, n =1,2,...
(1) , .
, .
1 (). 1- [ ] , f (x) , f (x) ( -).
2. f (x) , [ ] , f (x) ( -).
f (x) - 2 L, f (- x) = f (x).
:
=
=
= 0 , n =1,2,...
, , 2 L :
f (x) - 2 L, f (- x) = - f (x).
:
, n =1,2,...
, , 2 L :
f (x)
, ,
,
,
f (x) [0 ,L ], f (x) [- L, 0]; (T =2 L), , .
|
|
, [ a, b ], : [ b, a +2 L ] , [ b -2 L, a ] .