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Jim Agler
Jim Agler is a mathematician who is an emeritus professor at the University of California, San Diego. He is a fellow of the American Mathematical Society since 2016, for "contributions to operator theory and the theory of analytic functions of several complex variables". He obtained his Ph.D. from the Indiana University Bloomington in 1980 under the supervision of John B. Conway. His thesis was on Sub-Jordan operators. Agler and John E. McCarthy are the authors of the book ''Pick Interpolation and Hilbert Function Spaces'' (American Mathematical Society, 2002). Some efforts to extend the Herglotz representation theorem are described in ''Classical function theory, Operator Dilation Theory, and Machine Computations on Multiply-Connected Domains''.Jim Agler, John Harland, and Benjamin J. Raphael (2008) ''Classical Function Theory, Operator Dilation Theory, and Machine Computations on Multiply-Connected Domains'', Memoirs of the American Mathematical Society ''Memoirs of the Ameri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of California, San Diego
The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public university, public Land-grant university, land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Institution of Oceanography, UC San Diego is the southernmost of the ten campuses of the University of California, and offers over 200 undergraduate and graduate degree programs, enrolling 33,096 undergraduate and 9,872 graduate students. The university occupies near the coast of the Pacific Ocean, with the main campus resting on approximately . UC San Diego is ranked among the best universities in the world by major college and university rankings. UC San Diego consists of twelve undergraduate, graduate and professional schools as well as seven undergraduate residential colleges. It received over 140,000 applications for undergraduate admissions in Fall 2021, making it the second most applied-to university in the United States. UC San Diego H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the '' Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Operator Theory
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operators or closed operators, and consideration may be given to nonlinear operators. The study, which depends heavily on the topology of function spaces, is a branch of functional analysis. If a collection of operators forms an algebra over a field, then it is an operator algebra. The description of operator algebras is part of operator theory. Single operator theory Single operator theory deals with the properties and classification of operators, considered one at a time. For example, the classification of normal operators in terms of their spectra falls into this category. Spectrum of operators The spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Function
In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not generally hold for real analytic functions. A function is analytic if and only if its Taylor series about ''x''0 converges to the function in some neighborhood for every ''x''0 in its domain. Definitions Formally, a function f is ''real analytic'' on an open set D in the real line if for any x_0\in D one can write : f(x) = \sum_^\infty a_ \left( x-x_0 \right)^ = a_0 + a_1 (x-x_0) + a_2 (x-x_0)^2 + a_3 (x-x_0)^3 + \cdots in which the coefficients a_0, a_1, \dots are real numbers and the series is convergent to f(x) for x in a neighborhood of x_0. Alternatively, a real analytic function is an infinitely differentiable function such that the Taylor series at any point x_0 in its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical branches in mathematics, with roots in the 18th century and just prior. Important mathematicians associated with comple ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indiana University Bloomington
Indiana University Bloomington (IU Bloomington, Indiana University, IU, or simply Indiana) is a public research university in Bloomington, Indiana. It is the flagship campus of Indiana University and, with over 40,000 students, its largest campus. Indiana University is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". It has numerous schools and programs, including the Jacobs School of Music, the Luddy School of Informatics, Computing, and Engineering, the O'Neill School of Public and Environmental Affairs, the Kelley School of Business, the School of Public Health, the School of Nursing, the School of Optometry, the Maurer School of Law, the School of Education, the Media School, and the Hamilton Lugar School of Global and International Studies. The university is home to an extensive student life program, with more than 750 student organizations on campus and with around 17 percent o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John B
John Bryn Williams (born 1977), known as John B, is an English disc jockey and electronic music producer. He is widely recognised for his eccentric clothing and wild hair and his production of several cutting edge drum and bass tracks. John B ranked number 76 in '' DJ Magazine''s 2010 Top 100 DJs annual poll, announced on 27 October 2010. Career Williams was born on 12 July 1977 in Maidenhead, Berkshire. He started producing music around the age of 14, and now is the head of drum and bass record label A record label, or record company, is a brand or trademark of music recordings and music videos, or the company that owns it. Sometimes, a record label is also a publishing company that manages such brands and trademarks, coordinates the prod ... Beta Recordings, together with its more specialist drum and bass sub-labels Nu Electro, Tangent, and Chihuahua. He also has releases on Formation Records, Metalheadz and Planet Mu. Williams was ranked 92nd drum and bass DJ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John McCarthy (mathematician)
John Edward McCarthy (born 20 January 1964) is a mathematician. He is currently the Spencer T. Olin Professor of Arts and Sciences, and chair of the Department of Mathematics and Statistics at Washington University in St. Louis. He works in operator theory and several complex variables. He received a B.A. from Trinity College Dublin in 1983, and a Ph.D. from the University of California, Berkeley in 1989. His Ph.D. Advisor was Donald Sarason. He has worked on Toeplitz operators, spaces of holomorphic functions, Nevanlinna–Pick interpolation, extension theorems in several complex variables, and the mathematics of ultrasound. In 1995, he, Sheldon Axler and Donald Sarason co-chaired a program at the Mathematical Sciences Research Institute in Holomorphic Spaces. Jim Agler and he wrote the text ''Pick Interpolation and Hilbert Function Spaces''. Honors include the Gilbert de Beauregard Robinson award in 2016 from the Canadian Mathematical Society and being elected a Fellow of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herglotz Representation Theorem
In mathematics, a positive harmonic function on the unit disc in the complex numbers is characterized as the Poisson integral of a finite positive measure on the circle. This result, the ''Herglotz-Riesz representation theorem'', was proved independently by Gustav Herglotz and Frigyes Riesz in 1911. It can be used to give a related formula and characterization for any holomorphic function on the unit disc with positive real part. Such functions had already been characterized in 1907 by Constantin Carathéodory in terms of the positive definiteness of their Taylor coefficients. Herglotz-Riesz representation theorem for harmonic functions A positive function ''f'' on the unit disk with ''f''(0) = 1 is harmonic if and only if there is a probability measure μ on the unit circle such that : f(re^)=\int_0^ \, d\mu(\varphi). The formula clearly defines a positive harmonic function with ''f''(0) = 1. Conversely if ''f'' is positive and harmonic and ''r''''n'' incr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Memoirs Of The American Mathematical Society
''Memoirs of the American Mathematical Society'' is a mathematical journal published in six volumes per year, totalling approximately 33 individually bound numbers, by the American Mathematical Society. It is intended to carry papers on new mathematical research between 80 and 200 pages in length. Usually, a bound number consists of a single paper, i.e., it is a monograph. The journal is indexed by Mathematical Reviews, Zentralblatt MATH, Science Citation Index, Research Alert, CompuMath Citation Index, and Current Contents. Other journals from the AMS * ''Bulletin of the American Mathematical Society'' * ''Journal of the American Mathematical Society'' * ''Notices of the American Mathematical Society'' * ''Proceedings of the American Mathematical Society'' * ''Transactions of the American Mathematical Society The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society. It ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 yea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
