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Ideals in a ring of exponential polynomials

Published online by Cambridge University Press:  09 April 2009

P. G. Laird
P. G. Laird
Affiliation:
University of Calgary, Alberta, Canada
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An exponential polynomial is a finite linear combination of terms unea: t→tneat where n is any non-negative integer and a is any complex number. The set X of exponetial polynomials is clearly a vector space over the field of complex numbers C and this set is identical with the set of solutions to all homogeneous linear ordinary differential equations with constant coefficients.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 3 , May 1974 , pp. 257 - 262
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Erdélyi, A., Operational Calculus and Generalised Functions (Holt, Rinehart and Winston, 1962).Google Scholar
[2]Jacobson, N., Lectures in Abstract Algebra, (Van Nostrand, 1951).Google Scholar