TY - JOUR A2 - Simões, Fernando AU - Meththananda, R. G. U. I. AU - Ganegoda, N. C. AU - Perera, S. S. N. PY - 2020 DA - 2020/05/01 TI - Harmonic Analysis via an Integral Equation: An Application to Dengue Transmission SP - 1073813 VL - 2020 AB - 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 Fourier-like 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. SN - 1110-757X UR - https://doi.org/10.1155/2020/1073813 DO - 10.1155/2020/1073813 JF - Journal of Applied Mathematics PB - Hindawi KW - ER -