Ashraf Iskandar oglu Huseynov ( az, Əşrəf İskəndər oğlu Hüseynov, September 20, 1907, Amirvarli,

Jabrayil District Jabrayil District ( az, Cəbrayıl rayonu) is one of the 66 districts of Azerbaijan. It is located in the south-west of the country and belongs to the East Zangezur Economic Region. The district borders the districts of Khojavend, Fuzuli, Qubad ...

— August 26, 1981, Baku) was 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, structure, space, models, and change. History On ...

(Professor from 1948, member of

Azerbaijan National Academy of Sciences Azerbaijan National Academy of Sciences (ANAS) ( az, Azərbaycan Milli Elmlər Akademiyası (AMEA)), located in Baku, is the main state research organization and the primary body that conducts research and coordinates activities in the fields of ...

from 1962). His area of contributions embraced nonlinear singular integral equations, differential equations,

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gra ...

and

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 (e.g. inner product, norm, topology, etc.) and the linear functions defined o ...

. Huseynov was first to study the nonlinear Hilbert problem as applied to

analytic functions 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 ...

.''Azerbaijan Soviet Encyclopedia'' (1987), vol. 10, p. 285 He also created the ''H_{α, β, γ}'' function space and proved some

theorem In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of t ...

s for nonlinear singular integral equations with

Cauchy kernel In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary o ...

within that space. Huseynov held positions in some Azerbaijani scientific institutions.

References

1907 births 1981 deaths Soviet mathematicians Recipients of the Order of the Red Banner of Labour 20th-century Azerbaijani mathematicians Burials at II Alley of Honor {{Azerbaijan-mathematician-stub