Martha Guzmán Partida
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Martha Guzmán Partida
Martha Dolores Guzmán Partida is a Mexican mathematician specializing in functional analysis, including Fourier analysis, harmonic analysis, and the theory of distributions. She is a professor of mathematics at the Universidad de Sonora. Education Guzmán Partida was an undergraduate at the Meritorious Autonomous University of Puebla. She completed her doctorate in 1995 at the National Autonomous University of Mexico. 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 Mexican scientists, attached to various institutions in the country, as well as a number of eminent foreign coll ... in 2013. Selected publications Source: * Alvarez, J; Lakey, J.; Guzmán–Partida, Martha. "Spaces of bounded lambda–central mean oscil ...
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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 (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, Topological space#Definition, topology, etc.) and the linear transformation, linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous function, continuous, unitary operator, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of variati ...
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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 Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. For example, determining what component frequencies are present in a musical note would involve computing the Fourier transform of a sampled musical note. One could then re-synthesize the same sound by including the frequency components as revealed in the Fourier analysis. In mathematics, the term ''Fourier ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term "harmonics" originated as the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are Multiple (mathematics), integer multiples of one another, as are the frequencies of the Harmonic series (music), harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on R''n'' is still an area of ongoing research, ...
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Distribution (mathematics)
Distributions, also known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. Distributions are widely used in the theory of partial differential equations, where it may be easier to establish the existence of distributional solutions than classical solutions, or where appropriate classical solutions may not exist. Distributions are also important in physics and engineering where many problems naturally lead to differential equations whose solutions or initial conditions are singular, such as the Dirac delta function. A function f is normally thought of as on the in the function domain by "sending" a point x in its domain to the point f(x). Instead of acting on points, distribution theory reinterpr ...
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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 cultural and educational driver in the state. The university motto is "El saber de mis hijos hará mi grandeza" ("The knowledge of my children will be my greatness"). It is the largest university of Sonora with about 30,000 students (about 28,000 for undergraduate studies and 2,000 for postgraduate studies) distributed in five campuses. Dr. Enrique Velázquez Contreras started his tenure as the University Rector in June 2017 for a period of four years (renewable). Under his leadership the university has prepared its Strategic Initiative putting special emphasis on the Internationalization of its academic and research programs. Overview According to the Mexican National Center for Evaluation for Higher Education (CENEVAL), Sonora has recently ra ...
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Meritorious Autonomous University Of Puebla
The Benemérita Universidad Autónoma de Puebla (BUAP) (Meritorious Autonomous University of Puebla) 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 Spanish colonial era before turning into a public college in 1825 and eventually into a public university in 1937. The religious origins can be seen in many of BUAP's buildings in Puebla city centre, which were once colonial-era churches. The flagship campus is located in the city of Puebla, although more than nine facilities are distributed across the state. Currently, it is one of the 105 institutes participating in the Alice Experiment at CERN. History The university was founded as a Jesuit college under the name ''Colegio del Espíritu Santo'' in 1578 and ran until the expulsion of the order in 1767. It then became the ''Real Colegio Carolino'' in 1790, after a period when the buildings were used ...
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National Autonomous University Of Mexico
The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the biggest in terms of enrollment. A portion of UNAM's main campus in Mexico City, known as '' Ciudad Universitaria'' (University City), is a UNESCO World Heritage site that was designed by some of Mexico's best-known architects of the 20th century and hosted the 1968 Summer Olympic Games. Murals in the main campus were painted by some of the most recognized artists in Mexican history, such as Diego Rivera and David Alfaro Siqueiros. With acceptance rates usually below 10%, and its research, especially in Artificial Intelligence, being recognized by UNESCO as one of the most impactful globally, UNAM is known for its high quality research and educational level. All Mexican Nobel laureates are either alumni or faculty of UNAM. UNAM was founded, in ...
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Mexican Academy Of Sciences
The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexican scientists, attached to various institutions in the country, as well as a number of eminent foreign colleagues, including various Nobel Prize winners. The organization, which encompasses exact and natural sciences as well as the social sciences and humanities, is founded on the belief that education, based on the truth of scientific knowledge, is the only means, in the short and long term, of achieving the development of the Mexican spirit and national sovereignty. The Academia is an open forum of discussion, criticism and respectful confrontation of ideas and models, but above all, of tolerance and agreement. Its strength lies in the commitment and work of its members and, by its very nature, it constitutes an ideal sphere for the independent, multidisciplinary analysis of the country's reality. Through its programs, the Academia undertakes ...
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Year Of Birth Missing (living People)
A year or annus is the orbital period of a planetary body, for example, the Earth, moving in its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the hours of daylight, and, consequently, vegetation and soil fertility. In temperate and subpolar regions around the planet, four seasons are generally recognized: spring, summer, autumn and winter. In tropical and subtropical regions, several geographical sectors do not present defined seasons; but in the seasonal tropics, the annual wet and dry seasons are recognized and tracked. A calendar year is an approximation of the number of days of the Earth's orbital period, as counted in a given calendar. The Gregorian calendar, or modern calendar, presents its calendar year to be either a common year of 365 days or a leap year of 366 days, as do the Julian calendars. For the Gregorian calendar, the average length of the calendar year (the ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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Mexican Mathematicians
Mexican may refer to: Mexico and its culture *Being related to, from, or connected to the country of Mexico, in North America ** People *** Mexicans, inhabitants of the country Mexico and their descendants *** Mexica, ancient indigenous people of the Valley of Mexico ** Being related to the State of Mexico, one of the 32 federal entities of Mexico ** Culture of Mexico *** Mexican cuisine *** historical synonym of Nahuatl, language of the Nahua people (including the Mexica) Arts and entertainment * "The Mexican" (short story), by Jack London * "The Mexican" (song), by the band Babe Ruth * Regional Mexican, a Latin music radio format Films * ''The Mexican'' (1918 film), a German silent film * ''The Mexican'' (1955 film), a Soviet film by Vladimir Kaplunovsky based on the Jack London story, starring Georgy Vitsin * ''The Mexican'', a 2001 American comedy film directed by Gore Verbinski, starring Brad Pitt and Julia Roberts Other uses * USS ''Mexican'' (ID-1655), United State ...
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Mexican Women Mathematicians
Mexican may refer to: Mexico and its culture *Being related to, from, or connected to the country of Mexico, in North America ** People *** Mexicans, inhabitants of the country Mexico and their descendants *** Mexica, ancient indigenous people of the Valley of Mexico ** Being related to the State of Mexico, one of the 32 federal entities of Mexico ** Culture of Mexico *** Mexican cuisine *** historical synonym of Nahuatl, language of the Nahua people (including the Mexica) Arts and entertainment * "The Mexican" (short story), by Jack London * "The Mexican" (song), by the band Babe Ruth * Regional Mexican, a Latin music radio format Films * ''The Mexican'' (1918 film), a German silent film * ''The Mexican'' (1955 film), a Soviet film by Vladimir Kaplunovsky based on the Jack London story, starring Georgy Vitsin * ''The Mexican'', a 2001 American comedy film directed by Gore Verbinski, starring Brad Pitt and Julia Roberts Other uses * USS ''Mexican'' (ID-1655), United State ...
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