Research on the Inverse Problem of Scattering.
Interim rept. 1 Oct 81-30 Sep 82,
LOWELL UNIV MA CENTER FOR ATMOSPHERIC RESEARCH
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The activities done under the grant for the fiscal year 1982 are summarized. Primary emphasis has been the expansion of the applications of the Gelfand-Levitan formalism to provide examples of potentials for which the Schroedinger equation has unusual spectral properties and thereby generalize the kinds of spectral representation which one can have. The investigators were partially successful in considering a case in which the potential is associated with a non-analytic reflection coefficient and a case in which the impulse response is a square pulse. The latter case may be of interest in providing passive means of convoluting a signal with a square pulse.
- Numerical Mathematics