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More Eventual Positivity for Analytic Functions

Published online by Cambridge University Press:  20 November 2018

David Handelman
David Handelman*
Affiliation:
Mathematics Department, University of Ottawa, Ottawa, Ontario, K1N 6N5 email: [email protected]
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Abstract

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Eventual positivity problems for real convergent Maclaurin series lead to density questions for sets of harmonic functions. These are solved for large classes of series, and in so doing, asymptotic estimates are obtained for the values of the series near the radius of convergence and for the coefficients of convolution powers.

Keywords

Primary 30B10Secondary 30D1530C5013A9941A5842A16
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 5 , 01 October 2003 , pp. 1019 - 1079
Copyright
Copyright © Canadian Mathematical Society 2003

References

[B] Boas, R. P., Invitation to complex analysis. Random House, New York, 1987.Google Scholar
[GH] Goodearl, K. R. and Handelman, D. E., Rank functions and K 0 of regular rings. J. Pure Appl. Algebra 7(1976), 195–216.Google Scholar
[H1] Handelman, D., Eventual positivity for analytic functions. Math. Ann. 304(1996), 315–338.Google Scholar
[H2] Handelman, D., Characters of compact Lie groups. J. Algebra 173(1995), 67–96.Google Scholar
[H3] Handelman, D., Positive polynomials, convex integral polytopes and a random walk problem. Lecture Notes in Math. 1282, Springer-Verlag, 1987.Google Scholar
[H4] Handelman, D., Positive polynomials and product type actions of compact groups. Mem. Amer.Math. Soc. (320) 54(1985).Google Scholar
[R] Rudin, W., Real and complex analysis. McGraw-Hill, 1966.Google Scholar
[T] Titchmarsh, E. C., The theory of functions. 2nd edition, Oxford, 1952.Google Scholar