Martha Dolores Guzmán Partida is a Mexican mathematician specializing in

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...

, including

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 Joseph Fo ...

harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...

, and the theory of

distributions Distribution may refer to: Mathematics *Distribution (mathematics), generalized functions used to formulate solutions of partial differential equations *Probability distribution, the probability of a particular value or value range of a varia ...

. She is a professor of mathematics at the

Universidad de Sonora The University of Sonora ( Universidad de Sonora, abbreviated as Unison) is a public university in the northwestern state of Sonora, Mexico that has a strong research program. The university was founded in 1942 and is considered the main cultu ...

Education

Guzmán Partida was an undergraduate at the

Meritorious Autonomous University of Puebla The Meritorious Autonomous University of Puebla () (BUAP) is the oldest and largest university in Puebla, Mexico. Founded on 15 April 1578 as Colegio del Espíritu Santo, the school was sponsored by the Society of Jesus during most of the Spanis ...

. She completed her doctorate in 1995 at the

National Autonomous University of Mexico The National Autonomous University of Mexico (, UNAM) is a public university, public research university in Mexico. It has several campuses in Mexico City, and many others in various locations across Mexico, as well as a presence in nine countri ...

. Her dissertation, ''Hardy Spaces of Conjugates Temperatures'', was supervised by Salvador Pérez Esteva.

Recognition

Guzmán was elected to the

Mexican Academy of Sciences The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexico, Mexican scientists, attached to various institutions in the country, as well as a number of eminent forei ...

in 2013.

Selected publications

Source: * Alvarez, J; Lakey, J.; Guzmán–Partida, Martha. "Spaces of bounded lambda–central mean oscillation, Morrey spaces, and lambda–central Carleson measures." ''Collectanea Mathematica'', 51 (1), 2000, pp. 1–47. * Alvarez, J; Guzmán–Partida, Martha; Pérez–Esteva, S. "Harmonic extensions of distributions." ''Mathematische Nachrichten'', 280 (13–14), 2007, pp.1443–1466. * Alvarez, J; Guzmán–Partida, Martha; Skórnik, U. "S'–convolvability with the Poisson kernel in the Euclidean case and the product domain case." ''Studia Mathematica'', 2 (156), 2003, pp.143–163.

References

External links

* {{DEFAULTSORT:Guzman Partida, Martha Year of birth missing (living people) Living people Mexican mathematicians Mexican women mathematicians Functional analysts Meritorious Autonomous University of Puebla alumni National Autonomous University of Mexico alumni Academic staff of Universidad de Sonora Members of the Mexican Academy of Sciences