By Trevor HUDDLESTON
Father Huddleston writes in regards to the stipulations of Apartheid illustrated with examples of laws, features of coverage, and administrative acts and indicates, from his personal event, how they affected the lives of Africans - regulations similar to pass-laws and passport laws, and extra.
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Sample text
We want however to say a little bit more about how big the number d must be . First we state the following lemma that will do us great service in what follows too . Lemma l . Let f E: s• with supp f K ( r ) = { I � I � r } Then holds n (pl • (12) (13) holds Assume that supp f (13 I R (r ) r < I � I <2 r} • Then ) If r > l we can as well substitute J for I . Remark . I f f E: S . to say that supp f is compact is by the Paley-Wiener theorem the same as to say that f is an entire function of exponential type .
S q= O
F s = ( 1 -8 ) s + 8 s o l (0 < 8 < 1) I t i s also possib le t o show that Bpsq i f s (0 < 8 < 1) . 30 The proo fs wil l be found in Chap . 3 . Th is example i s e ssentially a simpler special 0 case of the pre ce ding one . Let c be the space o f continuous Example 4. bounded functions in I I al l and let C lR = ( --oo , oo ) , with the norm sup I a ( x ) I co 1 be the space o f function s whose first derivative 0 exists and belongs to c , with I I al l c sup I a ' (x) I 1 ( He re we are cheating a l ittle bit , since this become s a true norm only after identi fication of functions which diffe r by a constant.