Paola Loreti is an Italian mathematician, and a professor of

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...

Sapienza University of Rome The Sapienza University of Rome ( it, Sapienza – Università di Roma), also called simply Sapienza or the University of Rome, and formally the Università degli Studi di Roma "La Sapienza", is a Public university, public research university l ...

. She is known for her research on

Fourier analysis In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Josep ...

control theory Control theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a ...

, and

non-integer representation A non-integer representation uses non-integer numbers as the radix, or base, of a positional notation, positional numeral system. For a non-integer radix ''β'' > 1, the value of :x = d_n \dots d_2d_1d_0.d_d_\dots d_ is :\begin x &= \beta^nd_n + ...

s. The

Komornik–Loreti constant In the mathematical theory of Non-integer representation, non-standard positional numeral systems, the Komornik–Loreti constant is a mathematical constant that represents the smallest base ''q'' for which the number 1 has a unique representation, ...

, the smallest non-integer base for which the representation of 1 is unique, is named after her and Vilmos Komornik. Loreti earned a

laurea In Italy, the ''laurea'' is the main post-secondary academic degree. The name originally referred literally to the laurel wreath, since ancient times a sign of honor and now worn by Italian students right after their official graduation ceremony ...

from Sapienza University in 1984. Her dissertation, ''Programmazione dinamica ed equazione di Bellman'' 'dynamic_programming_and_the_Bellman_equation.html" ;"title="dynamic_programming.html" ;"title="'dynamic programming">'dynamic programming and the Bellman equation">dynamic_programming.html" ;"title="'dynamic programming">'dynamic programming and the Bellman equation''] was supervised by Italo Capuzzo-Dolcetta. With Vilmos Komornik, Loreti is the author of the book ''Fourier Series in Control Theory'' (Springer, 2005).

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{{DEFAULTSORT:Loreti, Paola Year of birth missing (living people) Living people Italian mathematicians Women mathematicians Sapienza University of Rome alumni Academic staff of the Sapienza University of Rome Mathematical analysts Control theorists