By John Benedetto

Publication via Benedetto, John

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**Extra resources for Harmonic Analysis on Totally Disconnected Sets**

**Example text**

2 clear is d e n s e Ts6~ Then we with compute corresponding supp v~ from supp T . 1 and ~ = v since in easily C(F) <~,@F > =

D I ( F ) _ C D ( F ) was a n d k. 3 and S = T CI(F) A ' ( F ) C_ D I ( F ) TEA'(F),

D. 5 sense Proof. Note Take Let Let of A'(F) Without that TeA'(F) if , then loss of ¢eA(F), @eA(F), supp and consider ~el ¢eA(F) look and I~ T = 0 [0,2~), on generality supp ¢ C ¢@C_ I all in t h e take I , we and so h>O I open. e. , in of open interval. fact, for all hypothesis. k+h] G I #(y)= i h2 Y - _ 1 h2 k I like _ k-h on l+h 1 y + --~ + h,ye [ ] k,l+h . 11). g. g. d. Corollary Proof. 5. d. Remark for i. every and by ¢, the 2. port ume TeA'(F) supp usual We ; then ¢CU,