THE ZERO-DISTRIBUTION AND THE ASYMPTOTIC BEHAVIOR OF A FOURIER INTEGRAL

Title & Authors
THE ZERO-DISTRIBUTION AND THE ASYMPTOTIC BEHAVIOR OF A FOURIER INTEGRAL
Ki, Ha-Seo; Kim, Young-One;

Abstract
The zero-distribution of the Fourier integral $\small{{\int}^{\infty}_{-{\infty}}\;Q(u)e^{p(u)+^{izu}du}$, where P is a polynomial with leading term $\small{-u^{2m}(m\;{\geq}\;1)}$ and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.
Keywords
saddle point method;zeros of Fourier integrals;
Language
English
Cited by
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