Properties equivalent to the completeness of $\left\{ {e^{ - t} t^{\lambda _n } } \right\}$

Authors:
R. P. Boas Jr. and Harry Pollard

Journal:
Bull. Amer. Math. Soc. **52** (1946), 348-351

DOI:
https://doi.org/10.1090/S0002-9904-1946-08583-3

MathSciNet review:
0016161

Full-text PDF

References | Additional Information

**1.**R. P. Agnew,*On sequences with vanishing even or odd differences*, Amer. J. Math. vol. 66 (1944) pp. 339-340. MR**10619****2.**R. P. Boas, Jr.,*Density theorems for power series and complete sets*, submitted to Trans. Amer. Math. Soc.**3.**W. H. J. Fuchs,*A theorem on finite differences with an application to the theory of Hausdorff summability*, Proc. Cambridge Philos. Soc. vol. 40 (1944) pp. 189-197. MR**10621**- 3a. W. H. J. Fuchs,
*On the closure of {e *Pv}*, Proc. Cambridge Philos. Soc. vol. 42 (1946) pp. 91-105. MR**14501**

- 3a. W. H. J. Fuchs,
**4.**Raymond E. A. C. Paley and Norbert Wiener,*Fourier transforms in the complex domain*, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR**1451142****5.**H. Pollard,*Sequences with vanishing even differences*, Duke Math. J. vol. 12 (1945) pp. 303-304. MR**12337****6.**G. Szegö,*Orthogonal polynomials*, Amer. Math. Soc. Colloquium Publications, vol. 23, New York, 1939.

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1946-08583-3