Halmos, Paul R. Measure Theory. D. Van Nostrand Co., Inc., New York, 1950. xi+304 pp.
Malliavin, P. Intégration et probabilités. Analyse de Fourier et analyse spectrale. (French) [Integration and probabilities. Fourier analysis and spectral analysis] Collection Maîtrise de Mathématiques Pures. [Collection of Pure Mathematics for the Master's Degree], Masson, Paris, 1982. 200 pp.
Kadets, Vladimir A course in functional analysis and measure theory, Universitext. Springer, Cham, 2018.
Tao, Terence An introduction to measure theory. Graduate Studies in Mathematics, 126. American Mathematical Society, Providence, RI, 2011.