1. Pia Maria Nalli was an Italian mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables and for finding the solution to the Fredholm integral equation of the third kind for the first time.
Pia Nalli's research interests ranged from algebraic geometry to functional analysis and tensor analysis; she was a speaker at the 1928 International Congress of Mathematicians.
Pia Nalli is remembered for her struggles against discrimination against women in the Italian university hiring system.
Pia Nalli studied at the University of Palermo, where she obtained a laurea in 1910 under the supervision of Giuseppe Bagnera, with a thesis concerning algebraic geometry, and in the same year joined the Circolo Matematico di Palermo.
Pia Nalli completed a habilitation thesis in 1914 on the theory of integrals, and continued to work on Fourier analysis and Dirichlet series for the next several years.
Pia Nalli served as assistant to Giuseppe Bagnera at the University of Palermo from 1 April 1911 to 16 November 1911.
Pia Nalli then taught at a number of secondary schools, first in the girls' school at Avellino, then in Trapani, and from 16 November 1912 in the girls' technical school in Palermo.
In 1921, Pia Nalli became extraordinary professor at the University of Cagliari.
Pia Nalli had been ranked second to Mauro Picone in the competition for the position, possibly in part because she was female, but Picone chose to stay at the University of Catania and become head of mathematics there, so the Cagliari position fell to Nalli.
Pia Nalli was an invited speaker at the International Congress of Mathematicians in 1928.
Pia Nalli published 61 mathematical works, including the monograph and a textbook.
Pia Nalli's "Selected works" include this monograph plus eleven articles on topics mainly belonging to functional and mathematical analysis: the following list includes her doctoral thesis and other works on tensor calculus.