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- W4594558 abstract "Approximation theorems of Walsh imply that the nonnegative integral powers zn, or the integral powers, form a spanning set for certain spaces of functions on compacta in (C. One may ask how many powers may be omitted in various problems of uniform approximation. The present paper surveys “lacunary” approximation theorems for the following kinds of sets: 1. Closed Jordan regions, 2. Jordan arcs, 3. Jordan curves around the origin. At present the most active area is Müntz-type approximation on arcs, in part because of its relation to the Macintyre conjecture for entire functions with gap power series." @default.
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- W4594558 date "1978-01-01" @default.
- W4594558 modified "2023-09-23" @default.
- W4594558 title "Lacunary Polynomial Approximation" @default.
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- W4594558 doi "https://doi.org/10.1007/978-3-0348-7180-8_42" @default.
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