Abstract:
A collection of oscillatory basis functions generated via an integral equation is investigated here. This is a new approach in the
harmonic analysis as we are able to interpret phenomena with damping and amplifying oscillations other than classical Fourierlike periodic waves. The proposed technique is tested with a data set of dengue incidence, where different types of influences
prevail. An intermediate transform supported by the Laplace transform is available. It facilitates parameter estimation and
strengthens the extraction of hidden influencing accumulations. This mechanistic work can be extended as a tool in signal
processing that encounters oscillatory and accumulated effects.
