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Benjamin Muckenhoupt
Benjamin Muckenhoupt (December 22, 1933, Boston – April 13, 2020, Whippany, New Jersey) was an American mathematician, specializing in analysis. He is known for the introduction of Muckenhoupt weights. Biography After graduating in 1950 from Newton High School (renamed in 1974 Newton North High School), Benjamin Muckenhoupt matriculated at Harvard University. where he graduated in 1954 with an A.B. At Harvard, by his outstanding score on the 1954 William Lowell Putnam Competition, he became a Putnam Fellow. At the University of Chicago, he graduated in 1955 with an M.Sc. and in 1958 with a Ph.D. His Ph.D. thesis ''On certain singular integrals'' was supervised by Antoni Zygmund. In the department of the mathematics of Rutgers University, he was an associate professor from 1963 to 1970 and a full professor from 1970 to 1991, when he retired as professor emeritus. For many years, he suffered from progressive supranuclear palsy. The main focus of Muckenhoupt's mathematical re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Whippany, New Jersey
Whippany is a unincorporated community located within Hanover Township in Morris County, New Jersey, United States. Whippany's name is derived from the Whippanong Native Americans, a tribe that once inhabited the area. Whippanong meant "place of the willows", named for the trees growing along the banks of the Whippany River. History Whippany's Whippany River is an important part of the Munsee, colonial, and industrial history of the town. The river is protected by the Whippany River Watershed Action Committee. Munsee Lenape Circa 1000, Whippany, along with most of northern New Jersey, was inhabited by the Munsee Lenape. Circa 1500, all of New Jersey was part of the Lenapehoking. The Munsee harvested mussels from the Whippany River. Arrowheads found in Munsee encampments throughout the nearby Washington Valley suggest that they hunted wolf, elk, and wild turkey for game. Colonial settlement The earliest European settlers to live along the Whippany River can be traced ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
State University Of New York At Albany
The State University of New York at Albany, commonly referred to as the University at Albany, UAlbany or SUNY Albany, is a public research university with campuses in Albany, Rensselaer, and Guilderland, New York. Founded in 1844, it is one of the four "university centers" of the State University of New York (SUNY) system. The university enrolls 16,648 students in nine schools and colleges, which offer 50 undergraduate majors and 125 graduate degree programs. The university's academic choices include new and emerging fields in public policy, homeland security, globalization, documentary studies, biotechnology, and informatics. Through the UAlbany and SUNY-wide exchange programs, students have more than 600 study-abroad programs to choose from, as well as government and business internship opportunities in New York's capital and surrounding region. It is classified among "R1: Doctoral Universities – Very high research activity". The research enterprise totaled expenditu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard University Alumni
The list of Harvard University people includes notable graduates, professors, and administrators affiliated with Harvard University. For a list of notable non-graduates of Harvard, see notable non-graduate alumni of Harvard. For a list of Harvard's presidents, see President of Harvard University. Eight President of the United States, Presidents of the United States have graduated from Harvard University: John Adams, John Quincy Adams, Rutherford B. Hayes, John F. Kennedy, Franklin Delano Roosevelt, Theodore Roosevelt, George W. Bush, and Barack Obama. Bush graduated from Harvard Business School, Hayes and Obama from Harvard Law School, and the others from Harvard College. Over 150 Nobel Prize winners have been associated with the university as alumni, researchers or faculty. Nobel laureates Pulitzer Prize winners ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2020 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1933 Births
Events January * January 11 – Sir Charles Kingsford Smith makes the first commercial flight between Australia and New Zealand. * January 17 – The United States Congress votes in favour of Philippines independence, against the wishes of U.S. President Herbert Hoover. * January 28 – "Pakistan Declaration": Choudhry Rahmat Ali publishes (in Cambridge, UK) a pamphlet entitled ''Now or Never; Are We to Live or Perish Forever?'', in which he calls for the creation of a Muslim state in northwest India that he calls " Pakstan"; this influences the Pakistan Movement. * January 30 ** National Socialist German Workers Party leader Adolf Hitler is appointed Chancellor of Germany by President of Germany Paul von Hindenburg. ** Édouard Daladier forms a government in France in succession to Joseph Paul-Boncour. He is succeeded on October 26 by Albert Sarraut and on November 26 by Camille Chautemps. February * February 1 – Adolf Hitler gives his "Proclamation to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eileen Poiani
Eileen Louise Poiani is an American mathematician. She was the first female mathematics instructor at Saint Peter's University in New Jersey, where she is a professor of mathematics, former vice president, and special assistant to the president of the university. She was the first female president of Pi Mu Epsilon. Education Poiani grew up as a fourth-generation resident of Nutley, New Jersey, where she graduated from Nutley High School. She was an undergraduate in the Douglass Residential College of Rutgers University, earning Phi Beta Kappa honors, and remained at Rutgers for graduate study in mathematics. Her 1971 doctoral dissertation, ''Mean Cesaro Summability of Laguerre and Hermite Series and Asymptotic Estimates of Laguerre and Hermite Polynomials'', concerned Cesàro summation, Laguerre polynomials, and Hermite polynomials; her doctoral advisor was Benjamin Muckenhoupt, the namesake of Muckenhoupt weights. Career In 1967, before she completed her doctorate, Poiani joined t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muckenhoupt Weights
In mathematics, the class of Muckenhoupt weights consists of those weights for which the Hardy–Littlewood maximal operator is bounded on . Specifically, we consider functions on and their associated maximal functions defined as : M(f)(x) = \sup_ \frac \int_ , f, , where is the ball in with radius and center at . Let , we wish to characterise the functions for which we have a bound : \int , M(f)(x), ^p \, \omega(x) dx \leq C \int , f, ^p \, \omega(x)\, dx, where depends only on and . This was first done by Benjamin Muckenhoupt. Definition For a fixed , we say that a weight belongs to if is locally integrable and there is a constant such that, for all balls in , we have :\left(\frac \int_B \omega(x) \, dx \right)\left(\frac \int_B \omega(x)^ \, dx \right)^\frac \leq C < \infty, where is the of , and is a rea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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