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- W2086164960 abstract "for some function W regular at the origin with W(O) = 0 and W'(0) $ 0 where F is the Borel (Laplace) transform of f and r is a simple contour enclosing all singularities of F. If G is an open connected subset of the plane, we use K[G] to denote the set of all f in K such that all singularities of F are contained in G. We say that a sequence $ bn I of complex numbers is admissible for T and K[G] if and only if there exists a function f C K[G] such that Yn(f) =bn (n = 0, 1, 2,...). If the only function in K[G] such that Yn(f) = 0 (n = 0, 1,2,---) is f = 0, then K[G] is called a uniqueness class for T. Buck [2] proved that if W is regular and univalent on an open connected set Qr containing the origin whose image Qw under w = W(v) is star shaped with respect to the origin, then K[ Q] is a uniqueness class for T. For Qr satisfying the above conditions, the author [4] proved sufficiency in the following admissibility theorem." @default.
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- W2086164960 date "1965-01-01" @default.
- W2086164960 modified "2023-09-26" @default.
- W2086164960 title "On a theorem concerning existence of interpolating functions" @default.
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- W2086164960 doi "https://doi.org/10.1090/s0002-9947-1965-0210903-2" @default.
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