The book "Zeta Integrals, Schwartz Spaces and Local Functional Equations" by Wen-Wei Li provides a comprehensive investigation of a conjectured class of zeta integrals that emerged from a research program initiated by Braverman and Kazhdan around the year 2000. The aim of this program is to prove the analytic continuation and functional equation of automorphic L-functions. The author develops a general framework that takes into account Schwartz spaces and the corresponding zeta integrals. In this context, formal structures are established, assumptions are formulated, and their implications are discussed. The book presents both old and new results and includes an extensive bibliography that will be of interest to anyone engaged with this topic or already working on it and looking to overcome technical difficulties.