Zahid Ismayil oghlu Khalilov (, 14 January 1911, Sarachly – 4 February 1974, Baku) was an Azerbaijani mathematician (professor since 1946) and engineer. Being the founder of Azerbaijani functional analysis school, he was elected president of the Azerbaijan Mathematical Society. Khalilov solved the boundary value problem for polyharmonic equations, proposed abstract generalizations of singular integral operatorsI. Gohberg, N. Krupnik. One-dimensional linear singular integral equations, vol. 1–2, Birkhäuser, 1992, p. 155 and made some other contributions.
In 1955, Khalilov became a member of Azerbaijan National Academy of Sciences. In 1957–1959 he was its vice chairman and chairman in 1961–1967. A street in Baku is named after him.
Researches Khalilov was the first to consider the abstract equation with an operator satisfying the condition Q2 = I, within the framework of normed rings.N. Karapetiants, S. Samko. Equations with involutive operators, Springer, 2001, p. 219 The associated theory was a direct treatment of the singular integral equations theory with continuous coefficients within the subject of an abstract normed ring. Khalilov had also translated the Noether's theorem to the case of abstract singular equations in a normed ring R ux + vS(x) + T(x) = y and gave a general theory of regularizers.
Khalilov also investigated the problems of subterranean hydromechanics applied in development of oil and gas deposits.
References
External links Profile at the Baku State University site