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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 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 oscill ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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)#Definition, norm, or Topological space#Definitions, topology) and the linear transformation, linear functions defined on these spaces and suitably respecting these structures. 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, for example, continuous function, continuous or unitary operator, unitary 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 v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic analysis has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis, spectral analysis, and neuroscience. The term "harmonics" originated from the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are integer multiples of one another, as are the freq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Distribution (mathematics)
Distributions, also known as Schwartz distributions are a kind of generalized function in mathematical analysis. Distributions make it possible to derivative, 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 (weak solutions) than Solution of a differential equation, 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, Dirac delta function. A Function (mathematics), function f is normally thought of as on the in the function Domain (function), domain by "sending" a point x in the domain t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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 for diverse purposes, including a military ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 countries. It also has 34 research institutes, 26 museums, and 18 historic sites. A portion of (University City), UNAM's main campus in Mexico City, is a UNESCO World Heritage site that was designed and decorated by some of Mexico's best-known architects and painters. The campus hosted the main events of the 1968 Summer Olympics, and was the birthplace of the Mexican Movement of 1968, student movement of 1968. All Mexican Nobel laureates have been alumni of UNAM. In 2009, the university was awarded the Princess of Asturias Awards, Prince of Asturias Award for Communication and Humanities. More than 25% of the total scientific papers published by Mexican academics come from researchers at UNAM. UNAM was founded in its modern form, on 22 Septemb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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 und ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Year Of Birth Missing (living People)
A year is a unit of time based on how long it takes the Earth to orbit the Sun. In scientific use, the tropical year (approximately 365 solar days, 5 hours, 48 minutes, 45 seconds) and the sidereal year (about 20 minutes longer) are more exact. The modern calendar year, as reckoned according to the Gregorian calendar, approximates the tropical year by using a system of leap years. The term 'year' is also used to indicate other periods of roughly similar duration, such as the lunar year (a roughly 354-day cycle of twelve of the Moon's phasessee lunar calendar), as well as periods loosely associated with the calendar or astronomical year, such as the seasonal year, the fiscal year, the academic year, etc. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by changes in weather, the hours of daylight, and, consequently, vegetation and soil fertility. In temperate and subpolar regions around the planet, four seasons a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
