Gennadi Markovich Henkin (Геннадий Маркович Хенкин, born 26 October 1942, Moscow – 19 January 2016, Paris)[1] was a Russian mathematician and mathematical economist.[2]
He published on complex analysis (in particular integral representations in several complex variables), functional analysis, mathematical economics, evolution equations, integral geometry, and inverse problems (with applications in seismology and other sciences).
In 1983 he was an Invited Speaker with talk Tangent Cauchy-Riemann equations and the Yang-Mills, Higgs and Dirac fields at the International Congress of Mathematicians in Warsaw. In 1992 he shared, with Victor Polterovich, the Kondratiev Prize in mathematical economics from the Russian Academy of Sciences for works on Schumpeterian dynamics and nonlinear wave theory.[2] In 2011 he received the Stefan Bergman Prize for "fundamental contributions to the theory of functions on complex manifolds, integral representations in several complex variables, and the multidimensional Cauchy-Riemann equations".[3]
with S. G. Gindikin: The Penrose transform and complex integral geometry, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., Vol. 17, 1981, pp. 57–111
with R. A. Airapetyan: Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR functions, Uspekhi Mat. Nauk, vol. 39, 1984, pp. 39–106
with E.M. Chirka: Boundary properties of holomorphic functions of several complex variables, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., Vol. 4, 1975, pp. 13–142
with B. S. Mityagin: Linear problems of complex analysis, Uspekhi Mat. Nauka, Vol. 26, 1971, pp. 93–152
with A. G. Vitushkin: Linear superpositions of functions, Uspekhi Mat. Nauka (Russ., Math. Surveys), Volume 22, 1967, pp. 77–124
Method of Integral Representations in Complex Analysis, in: Encyclopaedia of Mathematical Sciences, Volume 7, Several Complex Variables I, Moscow, VINITI, 1985, pp. 23-124, Springer, 1990, pp. 19–116.