... data:(i) the intervals (Ik)0≤k≤N/n1,(ii) the restriction of C to the union of the Iks,(iii) the values of C outside the Iks.Let us count in each case the number of possibilities:(i) There ... as (3.1.3) or (3.1.4), wesee functions on M as functions on the cotangent bundle, depending only on the position. In other words, when we consider the function x → gt(x, dS(x)) weactually ... accordancewith the notation of the previous sections, we denote Ωi= B(Pi, ε/2).ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS 449• Ai2= Aiexcept on a set of measure of order hκ.•...