...BIBO
BIBO: Bounded Input, Bounded Output. 
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...exists
The Fourier transform is defined for tex2html_wrap_inline737 . 
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...call
The notation tex2html_wrap_inline749 is not really valid because tex2html_wrap_inline751 doesn't hold for every tex2html_wrap_inline753 . However for a fixed a and b, this relation is valid for any z in the neighborhood of 1. This should be enough in our case. 
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Stephan Tassart
Wed May 21 17:49:28 MET DST 1997