Any technique in which the sample is bombarded with X-rays and photoelectrons produced by the sample are detected as a function of energy.
ESCA (Electron Spectroscopy for Chemical Analysis) refers to the use of this technique to identify elements, their concentrations, and their chemical state within the sample.
Source:
Orange Book, 2nd ed., p. 250 (https://media.iupac.org/publications/analytical_compendium/)