Guido L. Weiss (b. 29 December 1928 in Trieste) is an American mathematician, working in analysis, especially Fourier analysis and harmonic analysis.
Weiss studied at the University of Chicago, where he received in 1951 his master's degree and in 1956 under Antoni Zygmund his PhD with thesis On certain classes of function spaces and on the interpolation of sublinear operators. At DePaul University he became an instructor in 1955, an assistant professor in 1956, and in 1959 an associate professor. in 1960 he was a visiting professor in Buenos Aires and in the same year a postdoc at the Institut Henri Poincaré in Paris. In 1961 Weiss became an associate professor and in 1963 a professor at Washington University in St. Louis, where from 1967 to 1970 he was also chair of the mathematics department. He was a visiting professor at several universities, including the University of Geneva (1964–65), the Université Paris-Sud (1970–71), the Scuola Normale Superiore in Pisa (1980), in Madrid and in Beijing. In the academic year 1987–88 he was at MSRI as the organizer of a program in classical analysis.
- Harmonic Analysis. In: Studies in Real and Complex Analysis. MAA Studies in Mathematics, Vol. 3, Mathematical Association of America, Washington, DC, 1965, pp. 124–178.
- with Elias Stein: Introduction to Fourier Analysis on euclidean spaces. Princeton University Press 1971.
- with Ronald Coifman: Analyse harmonique non-commutative sur certains espaces homogènes. É́tude de certaines intégrales singulières. Springer-Verlag 1971.
- with Ronald Coifman: Transference methods in analysis. AMS 1977.
- with Eugenio Hernandez: A first course on Wavelets. Boca Raton, CRC Press 1996.
- with Michael Frazier, Björn Jawerth: Littlewood–Paley theory and the study of function spaces. AMS 1991.
- with William Boothby (eds.): Symmetric spaces. Dekker 1972.