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By Costin O., et al. (eds.)
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Extra info for Asymptotics in dynamics, geometry and PDEs ; Generalized borel summation. / Vol. I
On the one hand, we have the outer generators, so-called because they never recur under alien derivation (but produce inner generators), and on the other hand we have the inner generators, so-called because they recur indeÀnitely under alien derivation (but never re-produce the outer generators). e. the SP-series themselves) and the exceptional generators, which don’t occur naturally, but can prove useful as auxiliary adjuncts. A gratifying surprise: the mir-transform We shall see that outer generators can be viewed as inÀnite sums of inner generators, and that the latter can be constructed quite explicitly by subjecting the driving function F to a chain of nine local transforms, all of which are elementary, save for one crucial step: the mir-transform.
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