IDENTIFICATION OF FUNCTIONS IN HARDY SPACE ON A HALF-STRIP DOMAIN
DOI:
https://doi.org/10.31471/2304-7399-2025-21(79)-35-40Keywords:
Hardy space, identification of signals, convolution equation.Abstract
This paper explores a signal identification problem using a convolution. We identify the signal with some function belonging to the Hardy space in a domain outside the half-strip. For this, we use a test function belonging to the Hardy space in the half-strip. Signals generated by point singularities and singularities generated by a segment are considered. The exponential test functions are chosen. For some cases, the exact solutions are found, for others, a convolution is found, and the possibility of finding the desired signal is analyzed.
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