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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.

Information

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