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Vagif Guliyev
Prof. Vagif Guliyev ( az, Vaqif Sabir oğlu Quliyev) is an Azerbaijani mathematician. He was born in Salyan district of Azerbaijan republic, USSR. He has earned Doctor of Sciences Degree from Steklov Institute of Mathematics, Moscow in 1994. He has written three books and more than 100 published articles. He is a full professor at Baku State University. Research area His research interests are: * Potential type operators on Lie groups or homogeneous spaces * Singular integral operators on Lie groups or homogeneous spaces * Function spaces on Lie groups or homogeneous spaces * Banach-valued function spaces of fractional smoothness * Integral operators on strictly pseudo-convex domains in Cn * Function spaces on strictly pseudo-convex domains in Cn * Solvability and other properties of invariant partial differential equations on Lie groups * Singular integrals, maximal functions and other integral operators, generated by Bessel differential operators * Bessel harmonic analysis ...
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Azerbaijani People
Azerbaijanis (; az, Azərbaycanlılar, ), Azeris ( az, Azərilər, ), or Azerbaijani Turks ( az, Azərbaycan Türkləri, ) are a Turkic people living mainly in northwestern Iran and the Republic of Azerbaijan. They are the second-most numerous ethnic group among the Turkic-speaking peoples after Turkish people and are predominantly Shia Muslims. They comprise the largest ethnic group in the Republic of Azerbaijan and the second-largest ethnic group in neighboring Iran and Georgia. They speak the Azerbaijani language, belonging to the Oghuz branch of the Turkic languages and carry a mixed heritage of Caucasian, "The Albanians in the eastern plain leading down to the Caspian Sea mixed with the Turkish population and eventually became Muslims." "...while the eastern Transcaucasian countryside was home to a very large Turkic-speaking Muslim population. The Russians referred to them as Tartars, but we now consider them Azerbaijanis, a distinct people with their own langua ...
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Homogeneous Space
In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group ''G'' is a non-empty manifold or topological space ''X'' on which ''G'' acts transitively. The elements of ''G'' are called the symmetries of ''X''. A special case of this is when the group ''G'' in question is the automorphism group of the space ''X'' – here "automorphism group" can mean isometry group, diffeomorphism group, or homeomorphism group. In this case, ''X'' is homogeneous if intuitively ''X'' looks locally the same at each point, either in the sense of isometry (rigid geometry), diffeomorphism (differential geometry), or homeomorphism (topology). Some authors insist that the action of ''G'' be faithful (non-identity elements act non-trivially), although the present article does not. Thus there is a group action of ''G'' on ''X'' which can be thought of as preserving some "geometric structure" on ''X'', and making ''X'' into a ...
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Academics Of Baku State University
An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, de ...
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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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1957 Births
1957 ( MCMLVII) was a common year starting on Tuesday of the Gregorian calendar, the 1957th year of the Common Era (CE) and ''Anno Domini'' (AD) designations, the 957th year of the 2nd millennium, the 57th year of the 20th century, and the 8th year of the 1950s decade. Events January * January 1 – The Saarland joins West Germany. * January 3 – Hamilton Watch Company introduces the first electric watch. * January 5 – South African player Russell Endean becomes the first batsman to be dismissed for having ''handled the ball'', in Test cricket. * January 9 – British Prime Minister Anthony Eden resigns. * January 10 – Harold Macmillan becomes Prime Minister of the United Kingdom. * January 11 – The African Convention is founded in Dakar. * January 14 – Kripalu Maharaj is named fifth Jagadguru (world teacher), after giving seven days of speeches before 500 Hindu scholars. * January 15 – The film '' Throne of Blood'', Akira Kurosawa's reworking of ''Macb ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the 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 integer multiples of one another, as are the frequencies of the 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, particularly concerning Fourier transformation on more general objects such as tempered ...
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Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ...
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Function Space
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topological or metric structure, hence the name function ''space''. In linear algebra Let be a vector space over a field and let be any set. The functions → can be given the structure of a vector space over where the operations are defined pointwise, that is, for any , : → , any in , and any in , define \begin (f+g)(x) &= f(x)+g(x) \\ (c\cdot f)(x) &= c\cdot f(x) \end When the domain has additional structure, one might consider instead the subset (or subspace) of all such functions which respect that structure. For example, if is also a vector space over , ...
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Singular Integral Operator
In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular integral is an integral operator : T(f)(x) = \int K(x,y)f(y) \, dy, whose kernel function ''K'' : R''n''×R''n'' → R is singular along the diagonal ''x'' = ''y''. Specifically, the singularity is such that , ''K''(''x'', ''y''), is of size , ''x'' − ''y'', −''n'' asymptotically as , ''x'' − ''y'',  → 0. Since such integrals may not in general be absolutely integrable, a rigorous definition must define them as the limit of the integral over , ''y'' − ''x'',  > ε as ε → 0, but in practice this is a technicality. Usually further assumptions are required to obtain results such as their boundedness on ''L''''p''(R''n''). The Hilbert transform The archetypal singular integral operator is t ...
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Lie Group
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses (division), or equivalently, the concept of addition and the taking of inverses (subtraction). Combining these two ideas, one obtains a continuous group where multiplying points and their inverses are continuous. If the multiplication and taking of inverses are smooth (differentiable) as well, one obtains a Lie group. Lie groups provide a natural model for the concept of continuous symmetry, a celebrated example of which is the rotational symmetry in three dimensions (given by the special orthogonal group \text(3)). Lie groups are widely used in many parts of modern mathematics and physics. ...
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Salyan District, Azerbaijan
Salyan District ( az, Salyan rayonu) is one of the 66 districts of Azerbaijan. It is located in the east of the country and belongs to the Shirvan-Salyan Economic Region. The district borders the districts of Bilasuvar, Sabirabad, Hajigabul, Baku, Neftchala, and the city of Shirvan. Its capital and largest city is Salyan. As of 2020, the district had a population of 139,900. History Salyan was a large, populated area and attracted the attention of the invaders in the XIII century. The approximate time of settlement is the 15th century. Trade relations of Shirvanshahs with Mugan, Tabriz and Iran were passing through Salyan. For a long time in the XVII-XVII century  trade routes with Iran, the North Caucasus, Turkestan and Russia passed through Salyan. Fish and caviar from Salyan were transported to these cities for sale. In the 18th century silver, copper money was minted in the district. In 1795 Agha Mohammad Khan Qajar attacked Shamakhi and completely ruined Salya ...
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