Prof. Vagif Guliyev ( az, Vaqif Sabir oğlu Quliyev) is an Azerbaijani
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He was born in
Salyan district of
Azerbaijan
Azerbaijan (, ; az, Azərbaycan ), officially the Republic of Azerbaijan, , also sometimes officially called the Azerbaijan Republic is a transcontinental country located at the boundary of Eastern Europe and Western Asia. It is a part of th ...
republic,
USSR
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nation ...
. He has earned Doctor of Sciences Degree from
Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...
,
Moscow
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...
in 1994. He has written three books and more than 100 published articles. He is a full professor at
Baku State University
Baku State University (BSU) ( az, Bakı Dövlət Universiteti (BDU)) is a public university located in Baku, Azerbaijan. Established in 1919 by the Parliament of Azerbaijan Democratic Republic, the university started with faculties of history an ...
.
Research area
His research interests are:
* Potential type operators on
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 addit ...
s or
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 ...
s
*
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,
wh ...
s on Lie groups or homogeneous spaces
*
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 ve ...
s on Lie groups or homogeneous spaces
* Banach-valued function spaces of fractional smoothness
* Integral operators on strictly pseudo-convex domains in C
n
* Function spaces on strictly pseudo-convex domains in C
n
* Solvability and other properties of invariant
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 ...
s on Lie groups
* Singular integrals, maximal functions and other integral operators, generated by Bessel differential operators
* Bessel
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 e ...
and applications
External links
Vagif Guliyev's personal websiteList of published articles
{{DEFAULTSORT:Guliyev, Vagif
1957 births
Living people
20th-century Azerbaijani mathematicians
Academics of Baku State University
People from Salyan, Azerbaijan
21st-century Azerbaijani mathematicians