ABSTRACT
Integral transforms are popular analysis tools for modeling hydrologic time series and data processing. They provide an interpretation of the series structure and extract significant information about their history. Accordingly, these transforms are largely applied to time series analysis of hydrological phenomena. Keeping these features in mind, the main goal in this chapter is to provide a brief introduction to the most commonly used integral transforms (Laplace, Fourier, Hankel, Mellin, Hilbert, and wavelet), discuss the details, definitions, and then the properties of them and eventually provide a systematic exposition of their applications to various fields of hydrology.
