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- W3099566359 abstract "We discuss the quasianalytic properties of various spaces of functions suit-able for one-dimensional small divisor problems. These spaces are formed of functions 1-holomorphic on certain compact sets K j of the Riemann sphere (in the Whitney sense), as is the solution of a linear or non-linear small divisor problem when viewed as a function of the multiplier (the intersection of K j with the unit circle is defined by a Diophantine-type condition, so as to avoid the divergence caused by roots of unity). It turns out that a kind of generalized analytic continuation through the unit circle is possible under suitable conditions on the K j ’s." @default.
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- W3099566359 date "2011-02-23" @default.
- W3099566359 modified "2023-10-09" @default.
- W3099566359 title "A quasianalyticity property for monogenic solutions of small divisor problems" @default.
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- W3099566359 doi "https://doi.org/10.1007/s00574-011-0003-x" @default.
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